Search a number
-
+
122959274031 = 32117117493139
BaseRepresentation
bin111001010000011110…
…0011010000000101111
3102202101020120022022100
41302200330122000233
54003310033232111
6132253043550143
711612021404326
oct1624074320057
9382336508270
10122959274031
1148168339540
121b9b698b353
13b79730c7a9
145d4638b0bd
1532e9ba2756
hex1ca0f1a02f

122959274031 has 24 divisors (see below), whose sum is σ = 196482948480. Its totient is φ = 73471179600.

The previous prime is 122959274029. The next prime is 122959274033. The reversal of 122959274031 is 130472959221.

122959274031 is a `hidden beast` number, since 1 + 2 + 29 + 592 + 7 + 4 + 0 + 31 = 666.

It is an interprime number because it is at equal distance from previous prime (122959274029) and next prime (122959274033).

It is not a de Polignac number, because 122959274031 - 21 = 122959274029 is a prime.

It is a super-2 number, since 2×1229592740312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122959274033) 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 23 ways as a sum of consecutive naturals, for example, 8739541 + ... + 8753598.

It is an arithmetic number, because the mean of its divisors is an integer number (8186789520).

Almost surely, 2122959274031 is an apocalyptic number.

122959274031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122959274031 is a deficient number, since it is larger than the sum of its proper divisors (73523674449).

122959274031 is a wasteful number, since it uses less digits than its factorization.

122959274031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17493227 (or 17493224 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 122959274031 in words is "one hundred twenty-two billion, nine hundred fifty-nine million, two hundred seventy-four thousand, thirty-one".

Divisors: 1 3 9 11 33 71 99 213 639 781 2343 7029 17493139 52479417 157438251 192424529 577273587 1242012869 1731820761 3726038607 11178115821 13662141559 40986424677 122959274031