100473260031000 has 256 divisors, whose sum is σ = 348593617008000. Its totient is φ = 26770845081600.

The previous prime is 100473260030951. The next prime is 100473260031029. The reversal of 100473260031000 is 130062374001.

100473260031000 is a `hidden beast` number, since 1 + 0 + 0 + 47 + 3 + 2 + 600 + 3 + 10 + 0 + 0 = 666.

It is a super-2 number, since 2×100473260031000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31330146 + ... + 34387854.

Almost surely, 2^{100473260031000} is an apocalyptic number.

100473260031000 is a gapful number since it is divisible by the number (10) 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 100473260031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174296808504000).

100473260031000 is an abundant number, since it is smaller than the sum of its proper divisors (248120356977000).

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

100473260031000 is a wasteful number, since it uses less digits than its factorization.

100473260031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3058956 (or 3058936 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 100473260031000 in words is "one hundred trillion, four hundred seventy-three billion, two hundred sixty million, thirty-one thousand".