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232113122010 = 2325721123208037
BaseRepresentation
bin1101100000101100000…
…1010010101011011010
3211012010100210022022200
43120023001102223122
512300331424401020
6254344205431030
722524656661300
oct3301301225332
9735110708280
10232113122010
118a490896060
1238b9a26b476
1318b71417a13
14b33d030270
156087858590
hex360b052ada

232113122010 has 288 divisors, whose sum is σ = 799145523072. Its totient is φ = 46134063360.

The previous prime is 232113121979. The next prime is 232113122099. The reversal of 232113122010 is 10221311232.

232113122010 is a `hidden beast` number, since 2 + 321 + 1 + 312 + 20 + 10 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1011712 + ... + 1219748.

It is an arithmetic number, because the mean of its divisors is an integer number (2774810844).

Almost surely, 2232113122010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232113122010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399572761536).

232113122010 is an abundant number, since it is smaller than the sum of its proper divisors (567032401062).

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

232113122010 is a wasteful number, since it uses less digits than its factorization.

232113122010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208098 (or 208088 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 232113122010 its reverse (10221311232), we get a palindrome (242334433242).

The spelling of 232113122010 in words is "two hundred thirty-two billion, one hundred thirteen million, one hundred twenty-two thousand, ten".