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122431431 = 3315359421
BaseRepresentation
bin1110100110000…
…10011111000111
322112101011100110
413103002133013
5222320301211
620052044103
73014435643
oct723023707
9275334313
10122431431
1163122601
1235003633
131c498845
141238dc23
15ab35ea6
hex74c27c7

122431431 has 32 divisors (see below), whose sum is σ = 175011840. Its totient is φ = 76003200.

The previous prime is 122431427. The next prime is 122431447. The reversal of 122431431 is 134134221.

It is not a de Polignac number, because 122431431 - 22 = 122431427 is a prime.

It is a super-2 number, since 2×1224314312 = 29978910593415522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122431398 and 122431407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122431031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 290601 + ... + 291021.

It is an arithmetic number, because the mean of its divisors is an integer number (5469120).

Almost surely, 2122431431 is an apocalyptic number.

122431431 is a deficient number, since it is larger than the sum of its proper divisors (52580409).

122431431 is a wasteful number, since it uses less digits than its factorization.

122431431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567.

The product of its digits is 576, while the sum is 21.

The square root of 122431431 is about 11064.8737453258. The cubic root of 122431431 is about 496.5515118721.

Adding to 122431431 its reverse (134134221), we get a palindrome (256565652).

The spelling of 122431431 in words is "one hundred twenty-two million, four hundred thirty-one thousand, four hundred thirty-one".

Divisors: 1 3 31 53 59 93 159 177 421 1263 1643 1829 3127 4929 5487 9381 13051 22313 24839 39153 66939 74517 96937 290811 691703 770009 1316467 2075109 2310027 3949401 40810477 122431431