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230120301132 = 22362319717417
BaseRepresentation
bin1101011001010000111…
…1010010001001001100
3210222222110221112000000
43112110033102021030
512232241244114012
6253414340404300
722424411200011
oct3262417221114
9728873845000
10230120301132
1189658a02257
12387229a6690
13189145b5277
14b1d04c3708
155ebc912ddc
hex35943d224c

230120301132 has 168 divisors, whose sum is σ = 633275840736. Its totient is φ = 72995053824.

The previous prime is 230120301119. The next prime is 230120301139. The reversal of 230120301132 is 231103021032.

230120301132 is a `hidden beast` number, since 230 + 1 + 2 + 0 + 301 + 132 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (230120301139) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 13203688 + ... + 13221104.

It is an arithmetic number, because the mean of its divisors is an integer number (3769499052).

Almost surely, 2230120301132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230120301132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316637920368).

230120301132 is an abundant number, since it is smaller than the sum of its proper divisors (403155539604).

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

230120301132 is a wasteful number, since it uses less digits than its factorization.

230120301132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17659 (or 17642 counting only the distinct ones).

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

Adding to 230120301132 its reverse (231103021032), we get a palindrome (461223322164).

The spelling of 230120301132 in words is "two hundred thirty billion, one hundred twenty million, three hundred one thousand, one hundred thirty-two".