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122414130 = 23253736761
BaseRepresentation
bin1110100101111…
…10010000110010
322112100021121200
413102332100302
5222314223010
620051432030
73014334336
oct722762062
9275307550
10122414130
1163110603
1234bb5616
131c4909c7
14123877c6
15ab30cc0
hex74be432

122414130 has 48 divisors (see below), whose sum is σ = 326887704. Its totient is φ = 31760640.

The previous prime is 122414111. The next prime is 122414147. The reversal of 122414130 is 31414221.

122414130 is a `hidden beast` number, since 12 + 241 + 413 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 83887281 + 38526849 = 9159^2 + 6207^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15051 + ... + 21710.

Almost surely, 2122414130 is an apocalyptic number.

122414130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122414130 is an abundant number, since it is smaller than the sum of its proper divisors (204473574).

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

122414130 is a wasteful number, since it uses less digits than its factorization.

122414130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36811 (or 36808 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 122414130 is about 11064.0919193579. The cubic root of 122414130 is about 496.5281212490.

Adding to 122414130 its reverse (31414221), we get a palindrome (153828351).

Subtracting from 122414130 its reverse (31414221), we obtain a palindrome (90999909).

It can be divided in two parts, 12 and 2414130, that added together give a palindrome (2414142).

The spelling of 122414130 in words is "one hundred twenty-two million, four hundred fourteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 36761 73522 110283 183805 220566 330849 367610 551415 661698 1102830 1360157 1654245 2720314 3308490 4080471 6800785 8160942 12241413 13601570 20402355 24482826 40804710 61207065 122414130