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123201040431 = 3729510139659
BaseRepresentation
bin111001010111101011…
…0101011000000101111
3102210000002111022110110
41302233112223000233
54004303431243211
6132333041511103
711621015364540
oct1625726530057
9383002438413
10123201040431
1148281859187
121ba63942493
13b80542b631
145d6a5224c7
15331100bea6
hex1caf5ab02f

123201040431 has 32 divisors (see below), whose sum is σ = 194251507200. Its totient is φ = 67957948800.

The previous prime is 123201040429. The next prime is 123201040481. The reversal of 123201040431 is 134040102321.

It is not a de Polignac number, because 123201040431 - 21 = 123201040429 is a prime.

It is a super-2 number, since 2×1232010404312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 123201040398 and 123201040407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123201040411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3086680 + ... + 3126338.

It is an arithmetic number, because the mean of its divisors is an integer number (6070359600).

Almost surely, 2123201040431 is an apocalyptic number.

123201040431 is a deficient number, since it is larger than the sum of its proper divisors (71050466769).

123201040431 is a wasteful number, since it uses less digits than its factorization.

123201040431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44799.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 123201040431 its reverse (134040102321), we get a palindrome (257241142752).

The spelling of 123201040431 in words is "one hundred twenty-three billion, two hundred one million, forty thousand, four hundred thirty-one".

Divisors: 1 3 7 21 29 87 203 609 5101 15303 35707 39659 107121 118977 147929 277613 443787 832839 1035503 1150111 3106509 3450333 8050777 24152331 202300559 606901677 1416103913 4248311739 5866716211 17600148633 41067013477 123201040431