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10270671131 = 74344477673
BaseRepresentation
bin10011001000010111…
…00000000100011011
3222111210002011010002
421210023200010123
5132013242434011
64415052043215
7512342156420
oct114413400433
928453064102
1010270671131
1143a0587266
121ba776350b
13c78ab98c6
146d609dd47
15401a26c3b
hex2642e011b

10270671131 has 16 divisors (see below), whose sum is σ = 12015151104. Its totient is φ = 8595647424.

The previous prime is 10270671127. The next prime is 10270671139. The reversal of 10270671131 is 13117607201.

It is not a de Polignac number, because 10270671131 - 22 = 10270671127 is a prime.

It is a super-2 number, since 2×102706711312 (a number of 21 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 = 10270671094 and 10270671103.

It is not an unprimeable number, because it can be changed into a prime (10270671139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1334711 + ... + 1342383.

It is an arithmetic number, because the mean of its divisors is an integer number (750946944).

Almost surely, 210270671131 is an apocalyptic number.

10270671131 is a deficient number, since it is larger than the sum of its proper divisors (1744479973).

10270671131 is an equidigital number, since it uses as much as digits as its factorization.

10270671131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12170.

The product of its (nonzero) digits is 1764, while the sum is 29.

The spelling of 10270671131 in words is "ten billion, two hundred seventy million, six hundred seventy-one thousand, one hundred thirty-one".

Divisors: 1 7 43 301 4447 7673 31129 53711 191221 329939 1338547 2309573 34121831 238852817 1467238733 10270671131