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131714675200 = 295210290209
BaseRepresentation
bin111101010101011001…
…1100111001000000000
3110120222102101202210201
41322222303213020000
54124222424101300
6140301530334544
712342004160263
oct1725263471000
9416872352721
10131714675200
1150950555a79
122163ab8a454
13c5611bb944
1465370d0cda
15365d66566a
hex1eaace7200

131714675200 has 60 divisors (see below), whose sum is σ = 326333429730. Its totient is φ = 52685864960.

The previous prime is 131714675123. The next prime is 131714675321. The reversal of 131714675200 is 2576417131.

It can be written as a sum of positive squares in 3 ways, for example, as 73367306496 + 58347368704 = 270864^2 + 241552^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 131714675200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5132305 + ... + 5157904.

Almost surely, 2131714675200 is an apocalyptic number.

131714675200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131714675200 is an abundant number, since it is smaller than the sum of its proper divisors (194618754530).

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

131714675200 is an equidigital number, since it uses as much as digits as its factorization.

131714675200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10290237 (or 10290216 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 37.

The spelling of 131714675200 in words is "one hundred thirty-one billion, seven hundred fourteen million, six hundred seventy-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1280 1600 2560 3200 6400 12800 10290209 20580418 41160836 51451045 82321672 102902090 164643344 205804180 257255225 329286688 411608360 514510450 658573376 823216720 1029020900 1317146752 1646433440 2058041800 2634293504 3292866880 4116083600 5268587008 6585733760 8232167200 13171467520 16464334400 26342935040 32928668800 65857337600 131714675200