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131012200331020 = 225292711319631931
BaseRepresentation
bin11101110010011110100111…
…101010010111011100001100
3122011212122101111111202002201
4131302132213222113130030
5114133000441241043040
61142350101323531244
736411214312440631
oct3562364752273414
9564778344452081
10131012200331020
1138820a64673418
121283b060989b24
1358145223573b8
14244d04aa90188
151022ddbe52a9a
hex7727a7a9770c

131012200331020 has 96 divisors (see below), whose sum is σ = 285879970252800. Its totient is φ = 50372808595200.

The previous prime is 131012200330981. The next prime is 131012200331081. The reversal of 131012200331020 is 20133002210131.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207004455 + ... + 207636385.

It is an arithmetic number, because the mean of its divisors is an integer number (2977916356800).

Almost surely, 2131012200331020 is an apocalyptic number.

131012200331020 is a gapful number since it is divisible by the number (10) 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 131012200331020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142939985126400).

131012200331020 is an abundant number, since it is smaller than the sum of its proper divisors (154867769921780).

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

131012200331020 is a wasteful number, since it uses less digits than its factorization.

131012200331020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633559 (or 633557 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 131012200331020 its reverse (20133002210131), we get a palindrome (151145202541151).

The spelling of 131012200331020 in words is "one hundred thirty-one trillion, twelve billion, two hundred million, three hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 271 290 542 580 1084 1319 1355 2638 2710 5276 5420 6595 7859 13190 15718 26380 31436 38251 39295 76502 78590 153004 157180 191255 357449 382510 631931 714898 765020 1263862 1429796 1787245 2527724 3159655 3574490 6319310 7148980 10366021 12638620 18325999 20732042 36651998 41464084 51830105 73303996 91629995 103660210 171253301 183259990 207320420 342506602 366519980 685013204 833516989 856266505 1667033978 1712533010 3334067956 3425066020 4167584945 4966345729 8335169890 9932691458 16670339780 19865382916 24171992681 24831728645 48343985362 49663457290 96687970724 99326914580 120859963405 225883104019 241719926810 451766208038 483439853620 903532416076 1129415520095 2258831040190 4517662080380 6550610016551 13101220033102 26202440066204 32753050082755 65506100165510 131012200331020