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122535133 = 72173509
BaseRepresentation
bin1110100110110…
…11110011011101
322112120102121021
413103123303131
5222332111013
620054204141
73015350200
oct723336335
9275512537
10122535133
1163193506
1235053651
131c503ac6
14123b9937
15ab56a8d
hex74dbcdd

122535133 has 24 divisors (see below), whose sum is σ = 151745400. Its totient is φ = 98657664.

The previous prime is 122535131. The next prime is 122535139. The reversal of 122535133 is 331535221.

It can be written as a sum of positive squares in 4 ways, for example, as 40487769 + 82047364 = 6363^2 + 9058^2 .

It is not a de Polignac number, because 122535133 - 21 = 122535131 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122535098 and 122535107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122535131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240483 + ... + 240991.

It is an arithmetic number, because the mean of its divisors is an integer number (6322725).

Almost surely, 2122535133 is an apocalyptic number.

It is an amenable number.

122535133 is a deficient number, since it is larger than the sum of its proper divisors (29210267).

122535133 is an frugal number, since it uses more digits than its factorization.

122535133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 533 counting only the distinct ones).

The product of its digits is 2700, while the sum is 25.

The square root of 122535133 is about 11069.5588439648. The cubic root of 122535133 is about 496.6916688363.

The spelling of 122535133 in words is "one hundred twenty-two million, five hundred thirty-five thousand, one hundred thirty-three".

Divisors: 1 7 17 49 119 289 509 833 2023 3563 4913 8653 14161 24941 34391 60571 147101 240737 423997 1029707 2500717 7207949 17505019 122535133