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324202032230130 = 233511343632435501
BaseRepresentation
bin100100110110111000010101…
…0111101110110111011110010
31120111220102010001101110121000
41021231300222331312323302
5314443211230222331010
63105304205120142430
7125200552405241235
oct11155605275667362
91514812101343530
10324202032230130
119433434529a95a
1230440638767a16
1310bb9174853882
145a0b667d5d41c
15277338b2517c0
hex126dc2af76ef2

324202032230130 has 128 divisors (see below), whose sum is σ = 872389802154240. Its totient is φ = 85669121664000.

The previous prime is 324202032230101. The next prime is 324202032230159. The reversal of 324202032230130 is 31032230202423.

324202032230130 is a `hidden beast` number, since 3 + 2 + 4 + 2 + 0 + 2 + 0 + 322 + 301 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (324202032230101) and next prime (324202032230159).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 324202032230094 and 324202032230103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 131897380 + ... + 134332880.

It is an arithmetic number, because the mean of its divisors is an integer number (6815545329330).

Almost surely, 2324202032230130 is an apocalyptic number.

324202032230130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 324202032230130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436194901077120).

324202032230130 is an abundant number, since it is smaller than the sum of its proper divisors (548187769924110).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

324202032230130 is a wasteful number, since it uses less digits than its factorization.

324202032230130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2439993 (or 2439987 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 324202032230130 its reverse (31032230202423), we get a palindrome (355234262432553).

The spelling of 324202032230130 in words is "three hundred twenty-four trillion, two hundred two billion, thirty-two million, two hundred thirty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 113 135 226 270 339 565 678 1017 1130 1695 2034 3051 3390 4363 5085 6102 8726 10170 13089 15255 21815 26178 30510 39267 43630 65445 78534 117801 130890 196335 235602 392670 493019 589005 986038 1178010 1479057 2435501 2465095 2958114 4437171 4871002 4930190 7306503 7395285 8874342 12177505 13311513 14613006 14790570 21919509 22185855 24355010 26623026 36532515 43839018 44371710 65758527 66557565 73065030 109597545 131517054 133115130 219195090 275211613 328792635 550423226 657585270 825634839 1376058065 1651269678 2476904517 2752116130 4128174195 4953809034 7430713551 8256348390 10626090863 12384522585 14861427102 21252181726 24769045170 31878272589 37153567755 53130454315 63756545178 74307135510 95634817767 106260908630 159391362945 191269635534 286904453301 318782725890 478174088835 573808906602 956348177670 1200748267519 1434522266505 2401496535038 2869044533010 3602244802557 6003741337595 7204489605114 10806734407671 12007482675190 18011224012785 21613468815342 32420203223013 36022448025570 54033672038355 64840406446026 108067344076710 162101016115065 324202032230130