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10012100023332 = 223211217193700537
BaseRepresentation
bin1001000110110001111110…
…1010100101010000100100
31022110010222110120010101200
42101230133222211100210
52303014240101221312
633143254550322500
72052231113011251
oct221543752452044
938403873503350
1010012100023332
1132101204a2700
1211584b4059430
135781a1c41344
14268834146428
151256873700dc
hex91b1faa5424

10012100023332 has 216 divisors, whose sum is σ = 29607311057688. Its totient is φ = 2840701501440.

The previous prime is 10012100023327. The next prime is 10012100023363. The reversal of 10012100023332 is 23332000121001.

10012100023332 is a `hidden beast` number, since 100 + 1 + 210 + 0 + 0 + 23 + 332 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 177252788196 + 9834847235136 = 421014^2 + 3136056^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13941768 + ... + 14642304.

Almost surely, 210012100023332 is an apocalyptic number.

10012100023332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10012100023332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14803655528844).

10012100023332 is an abundant number, since it is smaller than the sum of its proper divisors (19595211034356).

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

10012100023332 is a wasteful number, since it uses less digits than its factorization.

10012100023332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700779 (or 700763 counting only the distinct ones).

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

Adding to 10012100023332 its reverse (23332000121001), we get a palindrome (33344100144333).

The spelling of 10012100023332 in words is "ten trillion, twelve billion, one hundred million, twenty-three thousand, three hundred thirty-two".