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232001311320 = 23345175937103
BaseRepresentation
bin1101100000010001011…
…0110001001001011000
3211011211120101201220000
43120010112301021120
512300114313430240
6254325133133000
722522131415512
oct3300426611130
9734746351800
10232001311320
118a433768029
1238b6892a160
1318b541ca44c
14b32c246bb2
15607cb1e430
hex36045b1258

232001311320 has 320 divisors, whose sum is σ = 827160491520. Its totient is φ = 58121404416.

The previous prime is 232001311309. The next prime is 232001311343. The reversal of 232001311320 is 23113100232.

232001311320 is a `hidden beast` number, since 2 + 32 + 0 + 0 + 1 + 311 + 320 = 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 = 232001311293 and 232001311302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 32658889 + ... + 32665991.

It is an arithmetic number, because the mean of its divisors is an integer number (2584876536).

Almost surely, 2232001311320 is an apocalyptic number.

232001311320 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 232001311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413580245760).

232001311320 is an abundant number, since it is smaller than the sum of its proper divisors (595159180200).

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

232001311320 is a wasteful number, since it uses less digits than its factorization.

232001311320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7736 (or 7723 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 232001311320 its reverse (23113100232), we get a palindrome (255114411552).

The spelling of 232001311320 in words is "two hundred thirty-two billion, one million, three hundred eleven thousand, three hundred twenty".