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131203232000100 = 2232521337303079769
BaseRepresentation
bin11101110101010000100010…
…000010010110100001100100
3122012112220110211022000101200
4131311100202002112201210
5114144113204343000400
61143013533243322500
736431056254023361
oct3565204202264144
9565486424260350
10131203232000100
1138894a84003887
1212870094b20430
135829547633b90
1424583ada41468
151027d6cda3b00
hex775422096864

131203232000100 has 216 divisors, whose sum is σ = 454853632582440. Its totient is φ = 31423310346240.

The previous prime is 131203232000081. The next prime is 131203232000107. The reversal of 131203232000100 is 1000232302131.

131203232000100 is a `hidden beast` number, since 1 + 312 + 0 + 32 + 320 + 0 + 0 + 1 + 0 + 0 = 666.

131203232000100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 75035371991616 + 56167860008484 = 8662296^2 + 7494522^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (131203232000107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 151106985 + ... + 151972784.

Almost surely, 2131203232000100 is an apocalyptic number.

131203232000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131203232000100 is an abundant number, since it is smaller than the sum of its proper divisors (323650400582340).

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

131203232000100 is a wasteful number, since it uses less digits than its factorization.

131203232000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303079839 (or 303079829 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 131203232000100 its reverse (1000232302131), we get a palindrome (132203464302231).

The spelling of 131203232000100 in words is "one hundred thirty-one trillion, two hundred three billion, two hundred thirty-two million, one hundred", and thus it is an aban number.