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123020323223031 = 321329265913635613
BaseRepresentation
bin11011111110001011100110…
…101010100111010111110111
3121010120121221211210000021200
4123332023212222213113313
5112111031110221114111
61113350431205343543
734624632202036323
oct3376134652472767
9533517854700250
10123020323223031
113621a698365183
121196a1b5407bb3
1353849c75a3720
142254303148983
15e350931b0256
hex6fe2e6aa75f7

123020323223031 has 48 divisors (see below), whose sum is σ = 198038203490400. Its totient is φ = 73066808699136.

The previous prime is 123020323222997. The next prime is 123020323223033. The reversal of 123020323223031 is 130322323020321.

123020323223031 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 2 + 0 + 32 + 322 + 303 + 1 = 666.

It is not a de Polignac number, because 123020323223031 - 215 = 123020323190263 is a prime.

It is a super-2 number, since 2×1230203232230312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123020323222986 and 123020323223004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123020323223033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2204181 + ... + 15839793.

It is an arithmetic number, because the mean of its divisors is an integer number (4125795906050).

Almost surely, 2123020323223031 is an apocalyptic number.

123020323223031 is a deficient number, since it is larger than the sum of its proper divisors (75017880267369).

123020323223031 is a wasteful number, since it uses less digits than its factorization.

123020323223031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13638320 (or 13638317 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 123020323223031 its reverse (130322323020321), we get a palindrome (253342646243352).

The spelling of 123020323223031 in words is "one hundred twenty-three trillion, twenty billion, three hundred twenty-three million, two hundred twenty-three thousand, thirty-one".

Divisors: 1 3 9 13 29 39 87 117 261 377 1131 2659 3393 7977 23931 34567 77111 103701 231333 311103 693999 1002443 3007329 9021987 13635613 40906839 122720517 177262969 395432777 531788907 1186298331 1595366721 3558894993 5140626101 15421878303 36257094967 46265634909 108771284901 326313854703 471342234571 1051455754043 1414026703713 3154367262129 4242080111139 9463101786387 13668924802559 41006774407677 123020323223031