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131202010123400 = 23524116000245137
BaseRepresentation
bin11101110101001111011001…
…001101010000110010001000
3122012112210022200010020200002
4131311033121031100302020
5114144103204042422100
61143013212114302132
736431014056161546
oct3565173115206210
9565483280106602
10131202010123400
1138894507315827
121286b9b3887948
1358293b1450008
1424582d5658d96
151027cea9962d5
hex7753d9350c88

131202010123400 has 48 divisors (see below), whose sum is σ = 312484787545140. Its totient is φ = 51200784435200.

The previous prime is 131202010123391. The next prime is 131202010123421. The reversal of 131202010123400 is 4321010202131.

It can be written as a sum of positive squares in 6 ways, for example, as 13647364846756 + 117554645276644 = 3694234^2 + 10842262^2 .

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

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 11 ways as a sum of consecutive naturals, for example, 8000114369 + ... + 8000130768.

Almost surely, 2131202010123400 is an apocalyptic number.

131202010123400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131202010123400 is an abundant number, since it is smaller than the sum of its proper divisors (181282777421740).

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

131202010123400 is a wasteful number, since it uses less digits than its factorization.

131202010123400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16000245194 (or 16000245185 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 131202010123400 its reverse (4321010202131), we get a palindrome (135523020325531).

The spelling of 131202010123400 in words is "one hundred thirty-one trillion, two hundred two billion, ten million, one hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 820 1025 1640 2050 4100 8200 16000245137 32000490274 64000980548 80001225685 128001961096 160002451370 320004902740 400006128425 640009805480 656010050617 800012256850 1312020101234 1600024513700 2624040202468 3200049027400 3280050253085 5248080404936 6560100506170 13120201012340 16400251265425 26240402024680 32800502530850 65601005061700 131202010123400