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123031000033 = 1729594229759
BaseRepresentation
bin111001010010100111…
…0000001001111100001
3102202120020112100212221
41302211032001033201
54003431414000113
6132304125151041
711613552150124
oct1624516011741
9382506470787
10123031000033
11481a4879327
121ba169bb481
13b7a9133b06
145d51adc3bb
15330111e98d
hex1ca53813e1

123031000033 has 16 divisors (see below), whose sum is σ = 137044224000. Its totient is φ = 109906031872.

The previous prime is 123031000007. The next prime is 123031000063. The reversal of 123031000033 is 330000130321.

It is not a de Polignac number, because 123031000033 - 29 = 123030999521 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 123030999980 and 123031000016.

It is not an unprimeable number, because it can be changed into a prime (123031000063) 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, 2085793 + ... + 2143966.

It is an arithmetic number, because the mean of its divisors is an integer number (8565264000).

Almost surely, 2123031000033 is an apocalyptic number.

It is an amenable number.

123031000033 is a deficient number, since it is larger than the sum of its proper divisors (14013223967).

123031000033 is a wasteful number, since it uses less digits than its factorization.

123031000033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4229864.

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 123031000033 its reverse (330000130321), we get a palindrome (453031130354).

The spelling of 123031000033 in words is "one hundred twenty-three billion, thirty-one million, thirty-three", and thus it is an aban number.

Divisors: 1 17 29 59 493 1003 1711 29087 4229759 71905903 122663011 249555781 2085271187 4242448277 7237117649 123031000033