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122102631 = 3274574241
BaseRepresentation
bin1110100011100…
…10001101100111
322111202110022200
413101302031213
5222224241011
620041025543
73011566230
oct721621547
9274673280
10122102631
1162a18572
1234a852b3
131c3b1ca1
1412306087
15aabd856
hex7472367

122102631 has 24 divisors (see below), whose sum is σ = 202054944. Its totient is φ = 69603840.

The previous prime is 122102623. The next prime is 122102639. The reversal of 122102631 is 136201221.

122102631 is a `hidden beast` number, since 1 + 22 + 10 + 2 + 631 = 666.

It is an interprime number because it is at equal distance from previous prime (122102623) and next prime (122102639).

It is not a de Polignac number, because 122102631 - 23 = 122102623 is a prime.

It is a super-2 number, since 2×1221026312 = 29818104994244322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122102639) 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, 26671 + ... + 30911.

It is an arithmetic number, because the mean of its divisors is an integer number (8418956).

Almost surely, 2122102631 is an apocalyptic number.

122102631 is a deficient number, since it is larger than the sum of its proper divisors (79952313).

122102631 is a wasteful number, since it uses less digits than its factorization.

122102631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4711 (or 4708 counting only the distinct ones).

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

The square root of 122102631 is about 11050.0059276002. The cubic root of 122102631 is about 496.1066029430.

Adding to 122102631 its reverse (136201221), we get a palindrome (258303852).

It can be divided in two parts, 12210 and 2631, that added together give a palindrome (14841).

The spelling of 122102631 in words is "one hundred twenty-two million, one hundred two thousand, six hundred thirty-one".

Divisors: 1 3 7 9 21 63 457 1371 3199 4113 4241 9597 12723 28791 29687 38169 89061 267183 1938137 5814411 13566959 17443233 40700877 122102631