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122427931 = 17371511289
BaseRepresentation
bin1110100110000…
…01101000011011
322112100222112211
413103001220123
5222320143211
620052015551
73014422513
oct723015033
9275328484
10122427931
116311aa0a
12350015b7
131c497082
141238c843
15ab34e21
hex74c1a1b

122427931 has 16 divisors (see below), whose sum is σ = 134118720. Its totient is φ = 111283200.

The previous prime is 122427917. The next prime is 122427947. The reversal of 122427931 is 139724221.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122427931 is a prime.

It is a super-2 number, since 2×1224279312 = 29977196577881522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122427893 and 122427902.

It is not an unprimeable number, because it can be changed into a prime (122427901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94335 + ... + 95623.

It is an arithmetic number, because the mean of its divisors is an integer number (8382420).

Almost surely, 2122427931 is an apocalyptic number.

122427931 is a deficient number, since it is larger than the sum of its proper divisors (11690789).

122427931 is a wasteful number, since it uses less digits than its factorization.

122427931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1494.

The product of its digits is 6048, while the sum is 31.

The square root of 122427931 is about 11064.7155860420. The cubic root of 122427931 is about 496.5467801165.

The spelling of 122427931 in words is "one hundred twenty-two million, four hundred twenty-seven thousand, nine hundred thirty-one".

Divisors: 1 17 37 151 629 1289 2567 5587 21913 47693 94979 194639 810781 3308863 7201643 122427931