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131210897472400 = 2452536189193277
BaseRepresentation
bin11101110101010111101010…
…111011110011101110010000
3122012120122021001020100120011
4131311113222323303232100
5114144224404223104100
61143021242033124304
736431450233330204
oct3565275273635620
9565518231210504
10131210897472400
1138898257a64659
12128716740b9694
13582a19977a3c5
1424588d9b08b04
15102816ad1ebba
hex7755eaef3b90

131210897472400 has 60 divisors (see below), whose sum is σ = 321181995968532. Its totient is φ = 51494088056320.

The previous prime is 131210897472371. The next prime is 131210897472401. The reversal of 131210897472400 is 4274798012131.

It can be written as a sum of positive squares in 6 ways, for example, as 2679428514816 + 128531468957584 = 1636896^2 + 11337172^2 .

It is not an unprimeable number, because it can be changed into a prime (131210897472401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3094575439 + ... + 3094617838.

Almost surely, 2131210897472400 is an apocalyptic number.

131210897472400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131210897472400 is an abundant number, since it is smaller than the sum of its proper divisors (189971098496132).

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

131210897472400 is a wasteful number, since it uses less digits than its factorization.

131210897472400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6189193348 (or 6189193337 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 49.

The spelling of 131210897472400 in words is "one hundred thirty-one trillion, two hundred ten billion, eight hundred ninety-seven million, four hundred seventy-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 200 212 265 400 424 530 848 1060 1325 2120 2650 4240 5300 10600 21200 6189193277 12378386554 24756773108 30945966385 49513546216 61891932770 99027092432 123783865540 154729831925 247567731080 309459663850 328027243681 495135462160 618919327700 656054487362 1237838655400 1312108974724 1640136218405 2475677310800 2624217949448 3280272436810 5248435898896 6560544873620 8200681092025 13121089747240 16401362184050 26242179494480 32802724368100 65605448736200 131210897472400