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13102231131132 = 223111334722003841
BaseRepresentation
bin1011111010101001100111…
…0101010001001111111100
31201101120011000102002001120
42332222121311101033330
53204131332132144012
643511025404310540
72521414334025363
oct276523165211774
951346130362046
1013102231131132
1141a1696998720
121577372842450
137406c57a92a0
143342195087da
1517ac446dc58c
hexbea99d513fc

13102231131132 has 96 divisors (see below), whose sum is σ = 36020113323264. Its totient is φ = 3654397747200.

The previous prime is 13102231131103. The next prime is 13102231131137. The reversal of 13102231131132 is 23113113220131.

It is a super-2 number, since 2×131022311311322 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13102231131137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10406469 + ... + 11597372.

It is an arithmetic number, because the mean of its divisors is an integer number (375209513784).

Almost surely, 213102231131132 is an apocalyptic number.

13102231131132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13102231131132 is an abundant number, since it is smaller than the sum of its proper divisors (22917882192132).

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

13102231131132 is a wasteful number, since it uses less digits than its factorization.

13102231131132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22004219 (or 22004217 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 13102231131132 its reverse (23113113220131), we get a palindrome (36215344351263).

The spelling of 13102231131132 in words is "thirteen trillion, one hundred two billion, two hundred thirty-one million, one hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 347 429 572 694 858 1041 1388 1716 2082 3817 4164 4511 7634 9022 11451 13533 15268 18044 22902 27066 45804 49621 54132 99242 148863 198484 297726 595452 22003841 44007682 66011523 88015364 132023046 242042251 264046092 286049933 484084502 572099866 726126753 858149799 968169004 1144199732 1452253506 1716299598 2904507012 3146549263 3432599196 6293098526 7635332827 9439647789 12586197052 15270665654 18879295578 22905998481 30541331308 37758591156 45811996962 83988661097 91623993924 99259326751 167977322194 198518653502 251965983291 297777980253 335954644388 397037307004 503931966582 595555960506 1007863933164 1091852594261 1191111921012 2183705188522 3275557782783 4367410377044 6551115565566 13102231131132