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122124531 = 3313735491
BaseRepresentation
bin1110100011101…
…11100011110011
322111210120100210
413101313203303
5222230441111
620041315203
73012020124
oct721674363
9274716323
10122124531
1162a32a71
1234a95b03
131c3bbc49
141231004b
15aac50a6
hex74778f3

122124531 has 16 divisors (see below), whose sum is σ = 172633088. Its totient is φ = 76658400.

The previous prime is 122124511. The next prime is 122124551. The reversal of 122124531 is 135421221.

It is an interprime number because it is at equal distance from previous prime (122124511) and next prime (122124551).

It is not a de Polignac number, because 122124531 - 213 = 122116339 is a prime.

It is a super-2 number, since 2×1221245312 = 29828802143939922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122124498 and 122124507.

It is not an unprimeable number, because it can be changed into a prime (122124511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14305 + ... + 21186.

It is an arithmetic number, because the mean of its divisors is an integer number (10789568).

Almost surely, 2122124531 is an apocalyptic number.

122124531 is a deficient number, since it is larger than the sum of its proper divisors (50508557).

122124531 is a wasteful number, since it uses less digits than its factorization.

122124531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35562.

The product of its digits is 480, while the sum is 21.

The square root of 122124531 is about 11050.9968328654. The cubic root of 122124531 is about 496.1362612859.

Adding to 122124531 its reverse (135421221), we get a palindrome (257545752).

It can be divided in two parts, 1221 and 24531, that added together give a palindrome (25752).

The spelling of 122124531 in words is "one hundred twenty-two million, one hundred twenty-four thousand, five hundred thirty-one".

Divisors: 1 3 31 37 93 111 1147 3441 35491 106473 1100221 1313167 3300663 3939501 40708177 122124531