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232111113000 = 233531319730211
BaseRepresentation
bin1101100000101011100…
…1101000001100101000
3211012010020000020110220
43120022321220030220
512300330421104000
6254344054410040
722524633623154
oct3301271501450
9735106006426
10232111113000
118a48a743718
1238b99660920
1318b70b93460
14b33ca6a064
1560875ad1a0
hex360ae68328

232111113000 has 256 divisors, whose sum is σ = 783878135040. Its totient is φ = 56843136000.

The previous prime is 232111112957. The next prime is 232111113001. The reversal of 232111113000 is 311111232.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (232111113001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7667895 + ... + 7698105.

It is an arithmetic number, because the mean of its divisors is an integer number (3062023965).

Almost surely, 2232111113000 is an apocalyptic number.

232111113000 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 232111113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391939067520).

232111113000 is an abundant number, since it is smaller than the sum of its proper divisors (551767022040).

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

232111113000 is a wasteful number, since it uses less digits than its factorization.

232111113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30445 (or 30431 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 232111113000 its reverse (311111232), we get a palindrome (232422224232).

The spelling of 232111113000 in words is "two hundred thirty-two billion, one hundred eleven million, one hundred thirteen thousand".