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231251152132 = 2272111326713089
BaseRepresentation
bin1101011101011110100…
…1001000110100000100
3211002220021211200221101
43113113221020310010
512242100243332012
6254122454425444
722464422234500
oct3272751106404
9732807750841
10231251152132
118a089279360
1238999662284
1318a64978380
14b29a773300
156036d3ed57
hex35d7a48d04

231251152132 has 144 divisors (see below), whose sum is σ = 553448367360. Its totient is φ = 83109196800.

The previous prime is 231251152103. The next prime is 231251152157.

231251152132 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 231251152132.

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, 74861244 + ... + 74864332.

It is an arithmetic number, because the mean of its divisors is an integer number (3843391440).

Almost surely, 2231251152132 is an apocalyptic number.

231251152132 is a gapful number since it is divisible by the number (22) 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 231251152132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276724183680).

231251152132 is an abundant number, since it is smaller than the sum of its proper divisors (322197215228).

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

231251152132 is a wasteful number, since it uses less digits than its factorization.

231251152132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5802 (or 5793 counting only the distinct ones).

The product of its digits is 3600, while the sum is 28.

It can be divided in two parts, 231251 and 152132, that added together give a palindrome (383383).

The spelling of 231251152132 in words is "two hundred thirty-one billion, two hundred fifty-one million, one hundred fifty-two thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 49 52 77 91 98 143 154 182 196 286 308 364 539 572 637 1001 1078 1274 2002 2156 2548 2671 3089 4004 5342 6178 7007 10684 12356 14014 18697 21623 28028 29381 33979 34723 37394 40157 43246 58762 67958 69446 74788 80314 86492 117524 130879 135916 138892 151361 160628 205667 237853 243061 261758 281099 302722 381953 411334 441727 475706 486122 523516 562198 605444 763906 822668 883454 951412 972244 1124396 1439669 1527812 1664971 1701427 1766908 1967693 2673671 2879338 3092089 3329942 3402854 3935386 5347342 5758676 6184178 6659884 6805708 7870772 8250719 10694684 12368356 16501438 18715697 21644623 33002876 37431394 43289246 57755033 74862788 86578492 90757909 107259347 115510066 181515818 214518694 231020132 363031636 404285231 429037388 635305363 750815429 808570462 1179852817 1270610726 1501630858 1617140924 2359705634 2541221452 3003261716 4447137541 4719411268 5255708003 8258969719 8894275082 10511416006 16517939438 17788550164 21022832012 33035878876 57812788033 115625576066 231251152132