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10314344131 = 7213292811987
BaseRepresentation
bin10011001101100100…
…00110011011000011
3222121211020222012121
421212302012123003
5132110433003011
64423252105111
7513412323100
oct114662063303
928554228177
1010314344131
1144131a6453
121bba305197
13c84b6b210
146dbbcbaa7
154057a1e71
hex266c866c3

10314344131 has 48 divisors (see below), whose sum is σ = 13421147040. Its totient is φ = 7847400960.

The previous prime is 10314344111. The next prime is 10314344137. The reversal of 10314344131 is 13144341301.

It is a happy number.

It is not a de Polignac number, because 10314344131 - 27 = 10314344003 is a prime.

It is a super-2 number, since 2×103143441312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10314344096 and 10314344105.

It is not an unprimeable number, because it can be changed into a prime (10314344137) 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, 5189920 + ... + 5191906.

It is an arithmetic number, because the mean of its divisors is an integer number (279607230).

Almost surely, 210314344131 is an apocalyptic number.

10314344131 is a deficient number, since it is larger than the sum of its proper divisors (3106802909).

10314344131 is a wasteful number, since it uses less digits than its factorization.

10314344131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2324 (or 2317 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 10314344131 its reverse (13144341301), we get a palindrome (23458685432).

The spelling of 10314344131 in words is "ten billion, three hundred fourteen million, three hundred forty-four thousand, one hundred thirty-one".

Divisors: 1 7 13 29 49 91 203 281 377 637 1421 1967 1987 2639 3653 8149 13769 13909 18473 25571 25831 57043 57623 97363 105937 178997 180817 399301 403361 558347 741559 749099 1265719 2823527 3908429 5190913 5243693 7258511 16192063 27359003 36705851 50809577 113344441 210496819 355667039 793411087 1473477733 10314344131