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123013330321 = 73391991513
BaseRepresentation
bin111001010010000101…
…0100111010110010001
3102202112000021122121011
41302210022213112101
54003412403032241
6132302254330521
711613246025000
oct1624412472621
9382460248534
10123013330321
11481958aa862
121ba10ab9a41
13b7a558826b
145d4d61cc37
1532ee7ce281
hex1ca42a7591

123013330321 has 16 divisors (see below), whose sum is σ = 143493952000. Its totient is φ = 105411940704.

The previous prime is 123013330291. The next prime is 123013330381. The reversal of 123013330321 is 123033310321.

It is not a de Polignac number, because 123013330321 - 215 = 123013297553 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123013330292 and 123013330301.

It is not an unprimeable number, because it can be changed into a prime (123013330381) 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, 1298461 + ... + 1389973.

It is an arithmetic number, because the mean of its divisors is an integer number (8968372000).

Almost surely, 2123013330321 is an apocalyptic number.

It is an amenable number.

123013330321 is a deficient number, since it is larger than the sum of its proper divisors (20480621679).

123013330321 is an frugal number, since it uses more digits than its factorization.

123013330321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95453 (or 95439 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 123013330321 its reverse (123033310321), we get a palindrome (246046640642).

The spelling of 123013330321 in words is "one hundred twenty-three billion, thirteen million, three hundred thirty thousand, three hundred twenty-one".

Divisors: 1 7 49 343 3919 27433 91513 192031 640591 1344217 4484137 31388959 358639447 2510476129 17573332903 123013330321