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10031232000 = 210353151173
BaseRepresentation
bin10010101011110100…
…00111010000000000
3221220002112101101010
421111322013100000
5131020443411000
64335220040520
7503404031226
oct112572072000
927802471333
1010031232000
114288407089
121b3b533140
13c3b30414a
146b2372b16
153da9cbd50
hex255e87400

10031232000 has 352 divisors, whose sum is σ = 33782770944. Its totient is φ = 2641920000.

The previous prime is 10031231993. The next prime is 10031232017. The reversal of 10031232000 is 23213001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57983914 + ... + 57984086.

Almost surely, 210031232000 is an apocalyptic number.

10031232000 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 10031232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16891385472).

10031232000 is an abundant number, since it is smaller than the sum of its proper divisors (23751538944).

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

10031232000 is a wasteful number, since it uses less digits than its factorization.

10031232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10031232000 its reverse (23213001), we get a palindrome (10054445001).

The spelling of 10031232000 in words is "ten billion, thirty-one million, two hundred thirty-two thousand".