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232120202234130 = 23357242594119509
BaseRepresentation
bin110100110001110010110010…
…001100110000100100010010
31010102212110210222212211121000
4310301302302030300210102
5220411024133232443010
62141402314312442430
766615062666445300
oct6461626214604422
91112773728784530
10232120202234130
1167a62696888851
122204a54a0a9416
139c69ac2006a02
14414696b9ab270
151bc7ea49477c0
hexd31cb2330912

232120202234130 has 192 divisors, whose sum is σ = 720215581104000. Its totient is φ = 53043575953536.

The previous prime is 232120202234119. The next prime is 232120202234149. The reversal of 232120202234130 is 31432202021232.

232120202234130 is a `hidden beast` number, since 2 + 3 + 2 + 1 + 2 + 0 + 20 + 223 + 413 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 232120202234094 and 232120202234103.

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, 54286816 + ... + 58406324.

It is an arithmetic number, because the mean of its divisors is an integer number (3751122818250).

Almost surely, 2232120202234130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232120202234130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360107790552000).

232120202234130 is an abundant number, since it is smaller than the sum of its proper divisors (488095378869870).

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

232120202234130 is a wasteful number, since it uses less digits than its factorization.

232120202234130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4123798 (or 4123785 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 232120202234130 its reverse (31432202021232), we get a palindrome (263552404255362).

The spelling of 232120202234130 in words is "two hundred thirty-two trillion, one hundred twenty billion, two hundred two million, two hundred thirty-four thousand, one hundred thirty".