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102131333142324 = 22329286322035323
BaseRepresentation
bin10111001110001101001101…
…110101010001011100110100
3111101121122211012122021100020
4113032031031311101130310
5101341304432241023244
61001114253044445140
730340513434012063
oct2716151565213464
9441548735567306
10102131333142324
112a5a6723000702
12b5558a09a97b0
1344cac35822145
141b3127bc381da
15bc1a0c69ad19
hex5ce34dd51734

102131333142324 has 144 divisors (see below), whose sum is σ = 247251859126272. Its totient is φ = 32810698134144.

The previous prime is 102131333142277. The next prime is 102131333142359. The reversal of 102131333142324 is 423241333131201.

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, 19186796727 + ... + 19186802049.

It is an arithmetic number, because the mean of its divisors is an integer number (1717026799488).

Almost surely, 2102131333142324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102131333142324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123625929563136).

102131333142324 is an abundant number, since it is smaller than the sum of its proper divisors (145120525983948).

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

102131333142324 is a wasteful number, since it uses less digits than its factorization.

102131333142324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8454 (or 8423 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

Adding to 102131333142324 its reverse (423241333131201), we get a palindrome (525372666273525).

The spelling of 102131333142324 in words is "one hundred two trillion, one hundred thirty-one billion, three hundred thirty-three million, one hundred forty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 841 863 1682 1726 2203 2523 2589 3364 3452 4406 5046 5178 5323 6609 8812 10092 10356 10646 13218 15969 21292 25027 26436 31938 50054 63876 63887 75081 100108 127774 150162 154367 191661 255548 300324 308734 383322 463101 617468 725783 766644 926202 1451566 1852404 1852723 1901189 2177349 2903132 3705446 3802378 4354698 4476643 4593749 5558169 5703567 7410892 7604756 8709396 8953286 9187498 11116338 11407134 11726569 13429929 13781247 17906572 18374996 22232676 22814268 23453138 26859858 27562494 35179707 46906276 53719716 55124988 55134481 70359414 110268962 133218721 140718828 165403443 220537924 266437442 330806886 340070501 399656163 532874884 661613772 680141002 799312326 1020211503 1360282004 1598624652 1598899949 2040423006 3197799898 3863342909 4080846012 4796699847 6395599796 7726685818 9593399694 9862044529 10120029047 11590028727 15453371636 19186799388 19724089058 20240058094 23180057454 29586133587 30360087141 39448178116 40480116188 46360114908 59172267174 60720174282 118344534348 121440348564 293480842363 586961684726 880442527089 1173923369452 1760885054178 3521770108356 8510944428527 17021888857054 25532833285581 34043777714108 51065666571162 102131333142324