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232320210112100 = 2252114152313037559
BaseRepresentation
bin110100110100101101000011…
…100110010000111001100100
31010110120121001212222202122002
4310310231003212100321210
5220422313242242041400
62142034233043424432
766635403244403165
oct6464550346207144
91113517055882562
10232320210112100
116802a4a203a870
1222081268385118
139c82917b538b6
144152502b3d76c
151bcd2ad925ed5
hexd34b43990e64

232320210112100 has 288 divisors, whose sum is σ = 564964219975680. Its totient is φ = 82187989632000.

The previous prime is 232320210112099. The next prime is 232320210112127. The reversal of 232320210112100 is 1211012023232.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 30734248121 + ... + 30734255679.

It is an arithmetic number, because the mean of its divisors is an integer number (1961681319360).

Almost surely, 2232320210112100 is an apocalyptic number.

232320210112100 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 232320210112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282482109987840).

232320210112100 is an abundant number, since it is smaller than the sum of its proper divisors (332644009863580).

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

232320210112100 is a wasteful number, since it uses less digits than its factorization.

232320210112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9451 (or 9444 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 232320210112100 its reverse (1211012023232), we get a palindrome (233531222135332).

The spelling of 232320210112100 in words is "two hundred thirty-two trillion, three hundred twenty billion, two hundred ten million, one hundred twelve thousand, one hundred".