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123541431 = 31317297113
BaseRepresentation
bin1110101110100…
…01011110110111
322121110112222120
413113101132313
5223111311211
620131531023
73030041046
oct727213667
9277415876
10123541431
1163810562
1235459a73
131c796b50
141259c55d
15aca4d06
hex75d17b7

123541431 has 48 divisors (see below), whose sum is σ = 192069024. Its totient is φ = 70189056.

The previous prime is 123541403. The next prime is 123541459. The reversal of 123541431 is 134145321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (123541403) and next prime (123541459).

It is not a de Polignac number, because 123541431 - 210 = 123540407 is a prime.

It is a super-2 number, since 2×1235414312 = 30524970347055522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123541031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1093231 + ... + 1093343.

It is an arithmetic number, because the mean of its divisors is an integer number (4001438).

Almost surely, 2123541431 is an apocalyptic number.

123541431 is a deficient number, since it is larger than the sum of its proper divisors (68527593).

123541431 is a wasteful number, since it uses less digits than its factorization.

123541431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 243 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 123541431 is about 11114.9192979526. The cubic root of 123541431 is about 498.0476277411.

Adding to 123541431 its reverse (134145321), we get a palindrome (257686752).

The spelling of 123541431 in words is "one hundred twenty-three million, five hundred forty-one thousand, four hundred thirty-one".

Divisors: 1 3 13 17 39 51 97 113 221 289 291 339 663 867 1261 1469 1649 1921 3757 3783 4407 4947 5763 10961 11271 21437 24973 28033 32657 32883 64311 74919 84099 97971 142493 186337 364429 424541 427479 559011 1093287 1273623 2422381 3167729 7267143 9503187 41180477 123541431