Search a number
-
+
232132403100 = 2235213194766653
BaseRepresentation
bin1101100000110000101…
…0110101111110011100
3211012011201001220000010
43120030022311332130
512300401343344400
6254350135003220
722525312604343
oct3301412657634
9735151056003
10232132403100
118a4a0765244
1238ba4809510
1318b75408b50
14b34180cb5a
1560893b6450
hex360c2b5f9c

232132403100 has 288 divisors, whose sum is σ = 777580231680. Its totient is φ = 52980341760.

The previous prime is 232132403099. The next prime is 232132403137. The reversal of 232132403100 is 1304231232.

It is a super-2 number, since 2×2321324031002 (a number of 24 digits) contains 22 as substring.

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, 3449374 + ... + 3516026.

It is an arithmetic number, because the mean of its divisors is an integer number (2699931360).

Almost surely, 2232132403100 is an apocalyptic number.

232132403100 is a gapful number since it is divisible by the number (20) 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 232132403100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388790115840).

232132403100 is an abundant number, since it is smaller than the sum of its proper divisors (545447828580).

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

232132403100 is a wasteful number, since it uses less digits than its factorization.

232132403100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66749 (or 66742 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 232132403100 its reverse (1304231232), we get a palindrome (233436634332).

The spelling of 232132403100 in words is "two hundred thirty-two billion, one hundred thirty-two million, four hundred three thousand, one hundred".