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31923990000 = 2433547219127
BaseRepresentation
bin11101101110110100…
…010110110111110000
310001101211121201111000
4131232310112313300
51010340020140000
622355441522000
72210051303100
oct355664266760
9101354551430
1031923990000
11125a2295211
12622b343300
133019b78216
14178bb99200
15c6c9c5000
hex76ed16df0

31923990000 has 1200 divisors, whose sum is σ = 141314764800. Its totient is φ = 6858432000.

The previous prime is 31923989983. The next prime is 31923990011. The reversal of 31923990000 is 9932913.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×319239900002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 251369937 + ... + 251370063.

It is an arithmetic number, because the mean of its divisors is an integer number (117762304).

Almost surely, 231923990000 is an apocalyptic number.

31923990000 is a gapful number since it is divisible by the number (30) 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 31923990000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70657382400).

31923990000 is an abundant number, since it is smaller than the sum of its proper divisors (109390774800).

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

31923990000 is a wasteful number, since it uses less digits than its factorization.

31923990000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 36.

The spelling of 31923990000 in words is "thirty-one billion, nine hundred twenty-three million, nine hundred ninety thousand".