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122005161 = 3219337013
BaseRepresentation
bin1110100010110…
…10011010101001
322111120111121200
413101122122221
5222213131121
620034554413
73011012115
oct721323251
9274514550
10122005161
1162961313
1234a38a09
131c379805
14122bc745
15aa9ea26
hex745a6a9

122005161 has 12 divisors (see below), whose sum is σ = 176345988. Its totient is φ = 81283104.

The previous prime is 122005157. The next prime is 122005183. The reversal of 122005161 is 161500221.

It can be written as a sum of positive squares in 2 ways, for example, as 93489561 + 28515600 = 9669^2 + 5340^2 .

It is not a de Polignac number, because 122005161 - 22 = 122005157 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122005361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13891 + ... + 20903.

It is an arithmetic number, because the mean of its divisors is an integer number (14695499).

Almost surely, 2122005161 is an apocalyptic number.

It is an amenable number.

122005161 is a deficient number, since it is larger than the sum of its proper divisors (54340827).

122005161 is a wasteful number, since it uses less digits than its factorization.

122005161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8952 (or 8949 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 122005161 is about 11045.5946422092. The cubic root of 122005161 is about 495.9745599703.

Adding to 122005161 its reverse (161500221), we get a palindrome (283505382).

The spelling of 122005161 in words is "one hundred twenty-two million, five thousand, one hundred sixty-one".

Divisors: 1 3 9 1933 5799 7013 17397 21039 63117 13556129 40668387 122005161