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232102122120 = 2332511187931193
BaseRepresentation
bin1101100000101001011…
…1010101001010001000
3211012002121002110022100
43120022113111022020
512300321120401440
6254343133553400
722524464325531
oct3301227251210
9735077073270
10232102122120
118a485662740
1238b96645860
1318b6c065ccb
14b33b7a9688
1560868d4230
hex360a5d5288

232102122120 has 192 divisors, whose sum is σ = 823371868800. Its totient is φ = 56235432960.

The previous prime is 232102122101. The next prime is 232102122127. The reversal of 232102122120 is 21221201232.

232102122120 is a `hidden beast` number, since 232 + 10 + 212 + 212 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 232102122093 and 232102122102.

It is not an unprimeable number, because it can be changed into a prime (232102122127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7425244 + ... + 7456436.

It is an arithmetic number, because the mean of its divisors is an integer number (4288395150).

Almost surely, 2232102122120 is an apocalyptic number.

232102122120 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 232102122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411685934400).

232102122120 is an abundant number, since it is smaller than the sum of its proper divisors (591269746680).

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

232102122120 is a wasteful number, since it uses less digits than its factorization.

232102122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33100 (or 33093 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 232102122120 its reverse (21221201232), we get a palindrome (253323323352).

The spelling of 232102122120 in words is "two hundred thirty-two billion, one hundred two million, one hundred twenty-two thousand, one hundred twenty".