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122955105 = 35713441
BaseRepresentation
bin1110101010000…
…10010101100001
322120100202200210
413111002111201
5222434030410
620111204333
73022046460
oct725022541
9276322623
10122955105
116344aa99
12352166a9
131c620000
14124889d7
15abdb220
hex7542561

122955105 has 80 divisors (see below), whose sum is σ = 249508224. Its totient is φ = 50618880.

The previous prime is 122955073. The next prime is 122955109. The reversal of 122955105 is 501559221.

It is not a de Polignac number, because 122955105 - 25 = 122955073 is a prime.

It is a super-2 number, since 2×1229551052 = 30235915691122050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122955109) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2998885 + ... + 2998925.

Almost surely, 2122955105 is an apocalyptic number.

122955105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122955105 is an abundant number, since it is smaller than the sum of its proper divisors (126553119).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122955105 is an frugal number, since it uses more digits than its factorization.

122955105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

The square root of 122955105 is about 11088.5122987712. The cubic root of 122955105 is about 497.2584688207.

The spelling of 122955105 in words is "one hundred twenty-two million, nine hundred fifty-five thousand, one hundred five".

Divisors: 1 3 5 7 13 15 21 35 39 41 65 91 105 123 169 195 205 273 287 455 507 533 615 845 861 1183 1365 1435 1599 2197 2535 2665 3549 3731 4305 5915 6591 6929 7995 10985 11193 15379 17745 18655 20787 28561 32955 34645 46137 48503 55965 76895 85683 90077 103935 142805 145509 199927 230685 242515 270231 428415 450385 599781 630539 727545 999635 1171001 1351155 1891617 2998905 3152695 3513003 5855005 8197007 9458085 17565015 24591021 40985035 122955105