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993122130 = 2357111333071
BaseRepresentation
bin111011001100011…
…101011101010010
32120012201211110010
4323030131131102
54013214402010
6242314015350
733416253540
oct7314353522
92505654403
10993122130
1146a6563a0
12238717556
1312a99c740
1495c7ad90
155c2c3620
hex3b31d752

993122130 has 128 divisors (see below), whose sum is σ = 3200311296. Its totient is φ = 190483200.

The previous prime is 993122087. The next prime is 993122159. The reversal of 993122130 is 31221399.

It is a happy number.

993122130 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13495 + ... + 46565.

It is an arithmetic number, because the mean of its divisors is an integer number (25002432).

Almost surely, 2993122130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 993122130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1600155648).

993122130 is an abundant number, since it is smaller than the sum of its proper divisors (2207189166).

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

993122130 is a wasteful number, since it uses less digits than its factorization.

993122130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33112.

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 993122130 is about 31513.8402927983. The cubic root of 993122130 is about 997.7021003685.

It can be divided in two parts, 9 and 93122130, that added together give a palindrome (93122139).

The spelling of 993122130 in words is "nine hundred ninety-three million, one hundred twenty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 13 14 15 21 22 26 30 33 35 39 42 55 65 66 70 77 78 91 105 110 130 143 154 165 182 195 210 231 273 286 330 385 390 429 455 462 546 715 770 858 910 1001 1155 1365 1430 2002 2145 2310 2730 3003 4290 5005 6006 10010 15015 30030 33071 66142 99213 165355 198426 231497 330710 363781 429923 462994 496065 694491 727562 859846 992130 1091343 1157485 1289769 1388982 1818905 2149615 2182686 2314970 2546467 2579538 3009461 3472455 3637810 4299230 4729153 5092934 5456715 6018922 6448845 6944910 7639401 9028383 9458306 10913430 12732335 12897690 14187459 15047305 15278802 18056766 23645765 25464670 28374918 30094610 33104071 38197005 45141915 47291530 66208142 70937295 76394010 90283830 99312213 141874590 165520355 198624426 331040710 496561065 993122130