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10140311103431 = 471811228996997
BaseRepresentation
bin1001001110001111100110…
…1001000010011111000111
31022220101220201022211020212
42103203321221002133013
52312114324120302211
633322221122550035
72064420235136555
oct223437151023707
938811821284225
1010140311103431
11325a533295833
12117931580831b
135872c5305192
14270b17bc0bd5
15128b8d11838b
hex938f9a427c7

10140311103431 has 16 divisors (see below), whose sum is σ = 10414232949120. Its totient is φ = 9868823101440.

The previous prime is 10140311103427. The next prime is 10140311103457. The reversal of 10140311103431 is 13430111304101.

It is a cyclic number.

It is not a de Polignac number, because 10140311103431 - 22 = 10140311103427 is a prime.

It is a super-2 number, since 2×101403111034312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10140311103397 and 10140311103406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10140310103431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104494025 + ... + 104591021.

It is an arithmetic number, because the mean of its divisors is an integer number (650889559320).

Almost surely, 210140311103431 is an apocalyptic number.

10140311103431 is a deficient number, since it is larger than the sum of its proper divisors (273921845689).

10140311103431 is a wasteful number, since it uses less digits than its factorization.

10140311103431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109514.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 10140311103431 its reverse (13430111304101), we get a palindrome (23570422407532).

The spelling of 10140311103431 in words is "ten trillion, one hundred forty billion, three hundred eleven million, one hundred three thousand, four hundred thirty-one".

Divisors: 1 47 181 8507 12289 96997 577583 2224309 4558859 17556457 104542523 825153479 1191996133 56023818251 215751300073 10140311103431