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103232303031132 = 2232111758726123623
BaseRepresentation
bin10111011110001110100100…
…110000000110001101011100
3111112111220121200201111101200
4113132032210300012031130
5102012324224033444012
61003320133150235500
730513200463446562
oct2736164460061534
9445456550644350
10103232303031132
112a9906348894a0
12b6b31414b5b90
13457a9c2523b02
141b6c682051a32
15be04983813dc
hex5de3a4c0635c

103232303031132 has 144 divisors (see below), whose sum is σ = 301929740566272. Its totient is φ = 29392209584640.

The previous prime is 103232303031127. The next prime is 103232303031139. The reversal of 103232303031132 is 231130303232301.

103232303031132 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 323 + 0 + 303 + 1 + 1 + 32 = 666.

It is a super-2 number, since 2×1032323030311322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103232303031096 and 103232303031105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103232303031139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9110128 + ... + 17013495.

It is an arithmetic number, because the mean of its divisors is an integer number (2096734309488).

Almost surely, 2103232303031132 is an apocalyptic number.

103232303031132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103232303031132 is an abundant number, since it is smaller than the sum of its proper divisors (198697437535140).

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

103232303031132 is a wasteful number, since it uses less digits than its factorization.

103232303031132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26124248 (or 26124243 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 103232303031132 its reverse (231130303232301), we get a palindrome (334362606263433).

The spelling of 103232303031132 in words is "one hundred three trillion, two hundred thirty-two billion, three hundred three million, thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 306 374 396 561 587 612 748 1122 1174 1683 1761 2244 2348 3366 3522 5283 6457 6732 7044 9979 10566 12914 19371 19958 21132 25828 29937 38742 39916 58113 59874 77484 89811 109769 116226 119748 179622 219538 232452 329307 359244 439076 658614 987921 1317228 1975842 3951684 26123623 52247246 78370869 104494492 156741738 235112607 287359853 313483476 444101591 470225214 574719706 862079559 888203182 940450428 1149439412 1332304773 1724159118 1776406364 2586238677 2664609546 3448318236 3996914319 4885117501 5172477354 5329219092 7993828638 9770235002 10344954708 14655352503 15334566701 15987657276 19540470004 29310705006 30669133402 43966057509 46003700103 58621410012 61338266804 87932115018 92007400206 138011100309 168680233711 175864230036 184014800412 260687633917 276022200618 337360467422 506040701133 521375267834 552044401236 674720934844 782062901751 1012081402266 1042750535668 1518122103399 1564125803502 2024162804532 2346188705253 2867563973087 3036244206798 3128251607004 4692377410506 5735127946174 6072488413596 8602691919261 9384754821012 11470255892348 17205383838522 25808075757783 34410767677044 51616151515566 103232303031132