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123130101321 = 3313121347563
BaseRepresentation
bin111001010101100100…
…0000011111001001001
3102202211011000020022000
41302223020003321021
54004132301220241
6132322025221213
711616164410143
oct1625310037111
9382734006260
10123130101321
1148245806617
121ba44031809
13b7c3821526
145d60d37c93
153309b97eb6
hex1cab203e49

123130101321 has 16 divisors (see below), whose sum is σ = 182429392320. Its totient is φ = 82080241920.

The previous prime is 123130101257. The next prime is 123130101337. The reversal of 123130101321 is 123101031321.

123130101321 is a `hidden beast` number, since 1 + 231 + 301 + 0 + 132 + 1 = 666.

It is not a de Polignac number, because 123130101321 - 26 = 123130101257 is a prime.

It is a super-2 number, since 2×1231301013212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123130101294 and 123130101303.

It is not an unprimeable number, because it can be changed into a prime (123130101361) 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 15 ways as a sum of consecutive naturals, for example, 180486 + ... + 528048.

It is an arithmetic number, because the mean of its divisors is an integer number (11401837020).

Almost surely, 2123130101321 is an apocalyptic number.

It is an amenable number.

123130101321 is a deficient number, since it is larger than the sum of its proper divisors (59299290999).

123130101321 is a wasteful number, since it uses less digits than its factorization.

123130101321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360693 (or 360687 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 123130101321 its reverse (123101031321), we get a palindrome (246231132642).

The spelling of 123130101321 in words is "one hundred twenty-three billion, one hundred thirty million, one hundred one thousand, three hundred twenty-one".

Divisors: 1 3 9 27 13121 39363 118089 347563 354267 1042689 3128067 9384201 4560374123 13681122369 41043367107 123130101321