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10225861131 = 3176712592377
BaseRepresentation
bin10011000011000001…
…00100001000001011
3222101122202120100110
421201200210020023
5131420310024011
64410411405403
7511256246133
oct114140441013
928348676313
1010225861131
114378260902
121b94753863
13c6c72a905
146d0157ac3
153ecb24ba6
hex26182420b

10225861131 has 32 divisors (see below), whose sum is σ = 14669786880. Its totient is φ = 6312784896.

The previous prime is 10225861117. The next prime is 10225861141. The reversal of 10225861131 is 13116852201.

It is not a de Polignac number, because 10225861131 - 213 = 10225852939 is a prime.

It is a super-3 number, since 3×102258611313 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (10225861141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4300815 + ... + 4303191.

It is an arithmetic number, because the mean of its divisors is an integer number (458430840).

Almost surely, 210225861131 is an apocalyptic number.

10225861131 is a deficient number, since it is larger than the sum of its proper divisors (4443925749).

10225861131 is a wasteful number, since it uses less digits than its factorization.

10225861131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3723.

The product of its (nonzero) digits is 2880, while the sum is 30.

The spelling of 10225861131 in words is "ten billion, two hundred twenty-five million, eight hundred sixty-one thousand, one hundred thirty-one".

Divisors: 1 3 17 51 67 201 1139 1259 2377 3417 3777 7131 21403 40409 64209 84353 121227 159259 253059 477777 1434001 2707403 2992643 4302003 8122209 8977929 50874931 152624793 200507081 601521243 3408620377 10225861131