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131001100401440 = 25537109120282827
BaseRepresentation
bin11101110010010100010010…
…000011011111101100100000
3122011211120201221000220020202
4131302110102003133230200
5114132310223200321230
61142341024045524332
736410342250545123
oct3562242203375440
9564746657026222
10131001100401440
1138817288a91aa5
1212838a835736a8
135813473812329
14244c6b680a3ba
15102298c724a45
hex7725120dfb20

131001100401440 has 96 divisors (see below), whose sum is σ = 318146055200064. Its totient is φ = 50937477903360.

The previous prime is 131001100401389. The next prime is 131001100401461. The reversal of 131001100401440 is 44104001100131.

It is a super-2 number, since 2×1310011004014402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3682694 + ... + 16600133.

It is an arithmetic number, because the mean of its divisors is an integer number (3314021408334).

Almost surely, 2131001100401440 is an apocalyptic number.

131001100401440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131001100401440 is an abundant number, since it is smaller than the sum of its proper divisors (187144954798624).

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

131001100401440 is a wasteful number, since it uses less digits than its factorization.

131001100401440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20283970 (or 20283962 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 131001100401440 its reverse (44104001100131), we get a palindrome (175105101501571).

The spelling of 131001100401440 in words is "one hundred thirty-one trillion, one billion, one hundred million, four hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 592 740 1091 1184 1480 2182 2960 4364 5455 5920 8728 10910 17456 21820 34912 40367 43640 80734 87280 161468 174560 201835 322936 403670 645872 807340 1291744 1614680 3229360 6458720 20282827 40565654 81131308 101414135 162262616 202828270 324525232 405656540 649050464 750464599 811313080 1500929198 1622626160 3001858396 3245252320 3752322995 6003716792 7504645990 12007433584 15009291980 22128564257 24014867168 30018583960 44257128514 60037167920 88514257028 110642821285 120074335840 177028514056 221285642570 354057028112 442571285140 708114056224 818756877509 885142570280 1637513755018 1770285140560 3275027510036 3540570281120 4093784387545 6550055020072 8187568775090 13100110040144 16375137550180 26200220080288 32750275100360 65500550200720 131001100401440