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123402132031 = 1761229519647
BaseRepresentation
bin111001011101101010…
…1110001101000111111
3102210112002212211021111
41302323111301220333
54010211421211111
6132405023542451
711626006546453
oct1627325615077
9383462784244
10123402132031
1148375317292
121babb15aa27
13b837ca8749
145d8910a663
1533239cea21
hex1cbb571a3f

123402132031 has 16 divisors (see below), whose sum is σ = 133383248640. Its totient is φ = 113740116480.

The previous prime is 123402132023. The next prime is 123402132149. The reversal of 123402132031 is 130231204321.

It is a cyclic number.

It is not a de Polignac number, because 123402132031 - 23 = 123402132023 is a prime.

It is a super-2 number, since 2×1234021320312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 123402131993 and 123402132011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123402132331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22351 + ... + 497296.

It is an arithmetic number, because the mean of its divisors is an integer number (8336453040).

Almost surely, 2123402132031 is an apocalyptic number.

123402132031 is a deficient number, since it is larger than the sum of its proper divisors (9981116609).

123402132031 is a wasteful number, since it uses less digits than its factorization.

123402132031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519954.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 123402132031 its reverse (130231204321), we get a palindrome (253633336352).

The spelling of 123402132031 in words is "one hundred twenty-three billion, four hundred two million, one hundred thirty-two thousand, thirty-one".

Divisors: 1 17 61 229 1037 3893 13969 237473 519647 8833999 31698467 118999163 538873939 2022985771 7258948943 123402132031