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122162013 = 341508173
BaseRepresentation
bin1110100100000…
…00101101011101
322111212110210000
413102000231131
5222233141023
620042204513
73012234321
oct722005535
9274773700
10122162013
1162a59146
1234ab3739
131c40301c
141231d981
15aad1243
hex7480b5d

122162013 has 10 divisors (see below), whose sum is σ = 182489054. Its totient is φ = 81441288.

The previous prime is 122161997. The next prime is 122162059. The reversal of 122162013 is 310261221.

122162013 is a `hidden beast` number, since 12 + 21 + 620 + 13 = 666.

It can be written as a sum of positive squares in only one way, i.e., 120165444 + 1996569 = 10962^2 + 1413^2 .

It is not a de Polignac number, because 122162013 - 24 = 122161997 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122162213) 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 9 ways as a sum of consecutive naturals, for example, 754006 + ... + 754167.

Almost surely, 2122162013 is an apocalyptic number.

It is an amenable number.

122162013 is a deficient number, since it is larger than the sum of its proper divisors (60327041).

122162013 is an equidigital number, since it uses as much as digits as its factorization.

122162013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508185 (or 1508176 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 122162013 is about 11052.6925678768. The cubic root of 122162013 is about 496.1870135168.

The spelling of 122162013 in words is "one hundred twenty-two million, one hundred sixty-two thousand, thirteen".

Divisors: 1 3 9 27 81 1508173 4524519 13573557 40720671 122162013