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123226131 = 3722932861
BaseRepresentation
bin1110101100001…
…00100000010011
322120212112110210
413112010200103
5223021214011
620121055203
73024255600
oct726044023
9276775423
10123226131
1163615686
1235327503
131c6b6492
14125196a7
15ac416a6
hex7584813

123226131 has 24 divisors (see below), whose sum is σ = 191845584. Its totient is φ = 70150080.

The previous prime is 123226123. The next prime is 123226189. The reversal of 123226131 is 131622321.

It is not a de Polignac number, because 123226131 - 23 = 123226123 is a prime.

It is a super-2 number, since 2×1232261312 = 30369358722458322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 123226098 and 123226107.

It is not an unprimeable number, because it can be changed into a prime (123226121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41641 + ... + 44501.

It is an arithmetic number, because the mean of its divisors is an integer number (7993566).

Almost surely, 2123226131 is an apocalyptic number.

123226131 is a deficient number, since it is larger than the sum of its proper divisors (68619453).

123226131 is a wasteful number, since it uses less digits than its factorization.

123226131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3171 (or 3164 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 123226131 is about 11100.7265978403. The cubic root of 123226131 is about 497.6235643348.

Adding to 123226131 its reverse (131622321), we get a palindrome (254848452).

The spelling of 123226131 in words is "one hundred twenty-three million, two hundred twenty-six thousand, one hundred thirty-one".

Divisors: 1 3 7 21 49 147 293 879 2051 2861 6153 8583 14357 20027 43071 60081 140189 420567 838273 2514819 5867911 17603733 41075377 123226131