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131202144330432 = 2637109189478133
BaseRepresentation
bin11101110101001111100001…
…001101001110001011000000
3122012112210200000122200002220
4131311033201031032023000
5114144103442422033212
61143013233311011040
736431020306003650
oct3565174115161300
9565483600580086
10131202144330432
113889457605052a
121286ba30809a80
1358294031ac666
1424583093d2360
151027d0765638c
hex7753e134e2c0

131202144330432 has 112 divisors (see below), whose sum is σ = 397093937140992. Its totient is φ = 37451966929920.

The previous prime is 131202144330403. The next prime is 131202144330469. The reversal of 131202144330432 is 234033441202131.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 131202144330393 and 131202144330402.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 43272763 + ... + 46205370.

It is an arithmetic number, because the mean of its divisors is an integer number (3545481581616).

Almost surely, 2131202144330432 is an apocalyptic number.

131202144330432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131202144330432 is an abundant number, since it is smaller than the sum of its proper divisors (265891792810560).

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

131202144330432 is a wasteful number, since it uses less digits than its factorization.

131202144330432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89479246 (or 89479236 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 131202144330432 its reverse (234033441202131), we get a palindrome (365235585532563).

The spelling of 131202144330432 in words is "one hundred thirty-one trillion, two hundred two billion, one hundred forty-four million, three hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1091 1344 2182 3273 4364 6546 7637 8728 13092 15274 17456 22911 26184 30548 34912 45822 52368 61096 69824 91644 104736 122192 183288 209472 244384 366576 488768 733152 1466304 89478133 178956266 268434399 357912532 536868798 626346931 715825064 1073737596 1252693862 1431650128 1879040793 2147475192 2505387724 2863300256 3758081586 4294950384 5010775448 5726600512 7516163172 8589900768 10021550896 15032326344 17179801536 20043101792 30064652688 40086203584 60129305376 97620643103 120258610752 195241286206 292861929309 390482572412 585723858618 683344501721 780965144824 1171447717236 1366689003442 1561930289648 2050033505163 2342895434472 2733378006884 3123860579296 4100067010326 4685790868944 5466756013768 6247721158592 8200134020652 9371581737888 10933512027536 16400268041304 18743163475776 21867024055072 32800536082608 43734048110144 65601072165216 131202144330432