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413010121431 = 31427199348407
BaseRepresentation
bin1100000001010010101…
…00100101001011010111
31110111001101102000110010
412000221110211023113
523231321042341211
6513422332131303
741560530052125
oct6005124451327
91414041360403
10413010121431
1114a17a4a0176
1268064306b33
132cc3cb44c4b
1415dc0004915
15ab23b994a6
hex60295252d7

413010121431 has 16 divisors (see below), whose sum is σ = 551353953024. Its totient is φ = 275003392704.

The previous prime is 413010121411. The next prime is 413010121571. The reversal of 413010121431 is 134121010314.

It is not a de Polignac number, because 413010121431 - 210 = 413010120407 is a prime.

It is a super-2 number, since 2×4130101214312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 413010121398 and 413010121407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413010121411) 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, 8507830 + ... + 8556236.

It is an arithmetic number, because the mean of its divisors is an integer number (34459622064).

Almost surely, 2413010121431 is an apocalyptic number.

413010121431 is a deficient number, since it is larger than the sum of its proper divisors (138343831593).

413010121431 is a wasteful number, since it uses less digits than its factorization.

413010121431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51830.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 413010121431 its reverse (134121010314), we get a palindrome (547131131745).

The spelling of 413010121431 in words is "four hundred thirteen billion, ten million, one hundred twenty-one thousand, four hundred thirty-one".

Divisors: 1 3 1427 1993 4281 5979 48407 145221 2844011 8532033 69076789 96475151 207230367 289425453 137670040477 413010121431