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131400130211104 = 256167315640477
BaseRepresentation
bin11101111000000111111010…
…000101011010110100100000
3122020020201201000000111022011
4131320013322011122310200
5114210324431313223404
61143244215251322304
736451226502141646
oct3570077205326440
9566221630014264
10131400130211104
1138960533a00aa7
12128a22858b0394
135841c9614c941
142463b2bbc1196
15102d043d79604
hex7781fa15ad20

131400130211104 has 24 divisors (see below), whose sum is σ = 262934891707068. Its totient is φ = 64623014856960.

The previous prime is 131400130211059. The next prime is 131400130211131. The reversal of 131400130211104 is 401112031004131.

It can be written as a sum of positive squares in 2 ways, for example, as 107235551811600 + 24164578399504 = 10355460^2 + 4915748^2 .

It is a super-2 number, since 2×1314001302111042 (a number of 29 digits) contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 33657818287 + ... + 33657822190.

Almost surely, 2131400130211104 is an apocalyptic number.

It is an amenable number.

131400130211104 is an abundant number, since it is smaller than the sum of its proper divisors (131534761495964).

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

131400130211104 is an equidigital number, since it uses as much as digits as its factorization.

131400130211104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67315640548 (or 67315640540 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 131400130211104 its reverse (401112031004131), we get a palindrome (532512161215235).

The spelling of 131400130211104 in words is "one hundred thirty-one trillion, four hundred billion, one hundred thirty million, two hundred eleven thousand, one hundred four".

Divisors: 1 2 4 8 16 32 61 122 244 488 976 1952 67315640477 134631280954 269262561908 538525123816 1077050247632 2154100495264 4106254069097 8212508138194 16425016276388 32850032552776 65700065105552 131400130211104