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152310234120 = 2335111011398219
BaseRepresentation
bin1000110111011001100…
…1011011110000001000
3112120010202120120022020
42031312121123300020
54443412404442440
6153545332524440
714001250425462
oct2156631336010
9476122516266
10152310234120
115965a17a250
1225628480720
13114940988b5
14752c525132
153e668233d0
hex237665bc08

152310234120 has 256 divisors, whose sum is σ = 507088512000. Its totient is φ = 36290688000.

The previous prime is 152310234077. The next prime is 152310234127. The reversal of 152310234120 is 21432013251.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (152310234127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18527371 + ... + 18535589.

It is an arithmetic number, because the mean of its divisors is an integer number (1980814500).

Almost surely, 2152310234120 is an apocalyptic number.

152310234120 is a gapful number since it is divisible by the number (10) 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 152310234120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253544256000).

152310234120 is an abundant number, since it is smaller than the sum of its proper divisors (354778277880).

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

152310234120 is a wasteful number, since it uses less digits than its factorization.

152310234120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8484 (or 8480 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 152310234120 its reverse (21432013251), we get a palindrome (173742247371).

The spelling of 152310234120 in words is "one hundred fifty-two billion, three hundred ten million, two hundred thirty-four thousand, one hundred twenty".