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131141243211132 = 223721120275393199
BaseRepresentation
bin11101110100010110110011…
…001101111000110101111100
3122012022222110201110021001210
4131310112303031320311330
5114142104231230224012
61142525242212404420
736423433155016200
oct3564266315706574
9565288421407053
10131141243211132
1138870763a47180
1212860075016710
135823748b564ab
1424553acdb0b00
151026440c5523c
hex7745b3378d7c

131141243211132 has 72 divisors (see below), whose sum is σ = 388314330566400. Its totient is φ = 34062660572640.

The previous prime is 131141243211131. The next prime is 131141243211217. The reversal of 131141243211132 is 231112342141131.

It is a super-2 number, since 2×1311412432111322 (a number of 29 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 131141243211132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131141243211131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10137690132 + ... + 10137703067.

It is an arithmetic number, because the mean of its divisors is an integer number (5393254591200).

Almost surely, 2131141243211132 is an apocalyptic number.

131141243211132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131141243211132 is an abundant number, since it is smaller than the sum of its proper divisors (257173087355268).

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

131141243211132 is a wasteful number, since it uses less digits than its factorization.

131141243211132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20275393231 (or 20275393222 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

Adding to 131141243211132 its reverse (231112342141131), we get a palindrome (362253585352263).

It can be divided in two parts, 1311412 and 43211132, that added together give a palindrome (44522544).

The spelling of 131141243211132 in words is "one hundred thirty-one trillion, one hundred forty-one billion, two hundred forty-three million, two hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 132 147 154 196 231 294 308 462 539 588 924 1078 1617 2156 3234 6468 20275393199 40550786398 60826179597 81101572796 121652359194 141927752393 223029325189 243304718388 283855504786 425783257179 446058650378 567711009572 669087975567 851566514358 892117300756 993494266751 1338175951134 1561205276323 1703133028716 1986988533502 2676351902268 2980482800253 3122410552646 3973977067004 4683615828969 5960965600506 6244821105292 9367231657938 10928436934261 11921931201012 18734463315876 21856873868522 32785310802783 43713747737044 65570621605566 131141243211132