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122536113 = 3721038093
BaseRepresentation
bin1110100110111…
…00000010110001
322112120110221120
413103130002301
5222332123423
620054212453
73015353100
oct723340261
9275513846
10122536113
1163194217
1235054129
131c50439b
14123ba037
15ab56ee3
hex74dc0b1

122536113 has 24 divisors (see below), whose sum is σ = 191924928. Its totient is φ = 69332256.

The previous prime is 122536109. The next prime is 122536133. The reversal of 122536113 is 311635221.

It is not a de Polignac number, because 122536113 - 22 = 122536109 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122536133) 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 23 ways as a sum of consecutive naturals, for example, 11095 + ... + 19187.

It is an arithmetic number, because the mean of its divisors is an integer number (7996872).

Almost surely, 2122536113 is an apocalyptic number.

It is an amenable number.

122536113 is a deficient number, since it is larger than the sum of its proper divisors (69388815).

122536113 is a wasteful number, since it uses less digits than its factorization.

122536113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8213 (or 8206 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 122536113 is about 11069.6031094163. The cubic root of 122536113 is about 496.6929929641.

The spelling of 122536113 in words is "one hundred twenty-two million, five hundred thirty-six thousand, one hundred thirteen".

Divisors: 1 3 7 21 49 103 147 309 721 2163 5047 8093 15141 24279 56651 169953 396557 833579 1189671 2500737 5835053 17505159 40845371 122536113