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232320012100 = 2252112291574217
BaseRepresentation
bin1101100001011101011…
…0100000111101000100
3211012122210002102011121
43120113112200331010
512301242410341400
6254420520043324
722533051343351
oct3302726407504
9735583072147
10232320012100
118a587654700
1239037603544
1318ba52451a7
14b35c6c7628
15609aac421a
hex36175a0f44

232320012100 has 216 divisors, whose sum is σ = 577027208520. Its totient is φ = 81028147200.

The previous prime is 232320012073. The next prime is 232320012103. The reversal of 232320012100 is 1210023232.

It can be written as a sum of positive squares in 12 ways, for example, as 36331409664 + 195988602436 = 190608^2 + 442706^2 .

It is not an unprimeable number, because it can be changed into a prime (232320012103) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 55089192 + ... + 55093408.

Almost surely, 2232320012100 is an apocalyptic number.

232320012100 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 232320012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288513604260).

232320012100 is an abundant number, since it is smaller than the sum of its proper divisors (344707196420).

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

232320012100 is a wasteful number, since it uses less digits than its factorization.

232320012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4439 (or 4421 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 232320012100 its reverse (1210023232), we get a palindrome (233530035332).

The spelling of 232320012100 in words is "two hundred thirty-two billion, three hundred twenty million, twelve thousand, one hundred".