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123123102021 = 3217804726157
BaseRepresentation
bin111001010101010110…
…1010111000101000101
3102202210122211122001200
41302222231113011011
54004124003231041
6132321215213113
711616051046053
oct1625255270505
9382718748050
10123123102021
1148241865977
121ba41817199
13b7c224072a
145d600351d3
1533092641b6
hex1caab57145

123123102021 has 12 divisors (see below), whose sum is σ = 188305920972. Its totient is φ = 77253710976.

The previous prime is 123123102007. The next prime is 123123102029. The reversal of 123123102021 is 120201321321.

123123102021 is a `hidden beast` number, since 1 + 2 + 312 + 310 + 20 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 96279884100 + 26843217921 = 310290^2 + 163839^2 .

It is a de Polignac number, because none of the positive numbers 2k-123123102021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123123101985 and 123123102003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123123102029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 402362926 + ... + 402363231.

It is an arithmetic number, because the mean of its divisors is an integer number (15692160081).

Almost surely, 2123123102021 is an apocalyptic number.

It is an amenable number.

123123102021 is a deficient number, since it is larger than the sum of its proper divisors (65182818951).

123123102021 is a wasteful number, since it uses less digits than its factorization.

123123102021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804726180 (or 804726177 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 123123102021 its reverse (120201321321), we get a palindrome (243324423342).

The spelling of 123123102021 in words is "one hundred twenty-three billion, one hundred twenty-three million, one hundred two thousand, twenty-one".

Divisors: 1 3 9 17 51 153 804726157 2414178471 7242535413 13680344669 41041034007 123123102021