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103232331000 = 233253371272441
BaseRepresentation
bin110000000100100100…
…0000101110011111000
3100212110102211202210200
41200021020011303320
53142404434043000
6115231351042200
710313123223021
oct1401110056370
9325412752720
10103232331000
113a864a61237
1218010370360
13997238b236
144dd4463c48
152a42dc2500
hex1809205cf8

103232331000 has 384 divisors, whose sum is σ = 361325352960. Its totient is φ = 26562816000.

The previous prime is 103232330941. The next prime is 103232331019. The reversal of 103232331000 is 133232301.

103232331000 is a `hidden beast` number, since 1 + 0 + 32 + 323 + 310 + 0 + 0 = 666.

103232331000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1032323310002 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42289780 + ... + 42292220.

It is an arithmetic number, because the mean of its divisors is an integer number (940951440).

Almost surely, 2103232331000 is an apocalyptic number.

103232331000 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 103232331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180662676480).

103232331000 is an abundant number, since it is smaller than the sum of its proper divisors (258093021960).

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

103232331000 is a wasteful number, since it uses less digits than its factorization.

103232331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2632 (or 2615 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 103232331000 its reverse (133232301), we get a palindrome (103365563301).

The spelling of 103232331000 in words is "one hundred three billion, two hundred thirty-two million, three hundred thirty-one thousand".