Search a number
-
+
12011030130300 = 22352439191013153
BaseRepresentation
bin1010111011001000100100…
…1011110010111001111100
31120112020120100012210000220
42232302021023302321330
53033242042203132200
641313442512021340
72346524344405545
oct256621113627174
946466510183026
1012011030130300
113910938421a73
12141b999831850
136918349365c6
142d74a08934cc
1515c67b4624a0
hexaec892f2e7c

12011030130300 has 144 divisors (see below), whose sum is σ = 35598827362560. Its totient is φ = 3125047080960.

The previous prime is 12011030130251. The next prime is 12011030130311. The reversal of 12011030130300 is 303103011021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12011030130300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11348524 + ... + 12361676.

Almost surely, 212011030130300 is an apocalyptic number.

12011030130300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12011030130300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17799413681280).

12011030130300 is an abundant number, since it is smaller than the sum of its proper divisors (23587797232260).

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

12011030130300 is a wasteful number, since it uses less digits than its factorization.

12011030130300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014132 (or 1014125 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 12011030130300 its reverse (303103011021), we get a palindrome (12314133141321).

The spelling of 12011030130300 in words is "twelve trillion, eleven billion, thirty million, one hundred thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 129 150 172 215 258 300 430 516 645 860 919 1075 1290 1838 2150 2580 2757 3225 3676 4300 4595 5514 6450 9190 11028 12900 13785 18380 22975 27570 39517 45950 55140 68925 79034 91900 118551 137850 158068 197585 237102 275700 395170 474204 592755 790340 987925 1013153 1185510 1975850 2026306 2371020 2963775 3039459 3951700 4052612 5065765 5927550 6078918 10131530 11855100 12157836 15197295 20263060 25328825 30394590 43565579 50657650 60789180 75986475 87131158 101315300 130696737 151972950 174262316 217827895 261393474 303945900 435655790 522786948 653483685 871311580 931087607 1089139475 1306967370 1862175214 2178278950 2613934740 2793262821 3267418425 3724350428 4356557900 4655438035 5586525642 6534836850 9310876070 11173051284 13069673700 13966314105 18621752140 23277190175 27932628210 40036767101 46554380350 55865256420 69831570525 80073534202 93108760700 120110301303 139663141050 160147068404 200183835505 240220602606 279326282100 400367671010 480441205212 600551506515 800735342020 1000919177525 1201103013030 2001838355050 2402206026060 3002757532575 4003676710100 6005515065150 12011030130300