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10225012131 = 33312394073
BaseRepresentation
bin10011000010111010…
…10100110110100011
3222101121011102202000
421201131110312203
5131420100342011
64410341255043
7511246111665
oct114135246643
928347142660
1010225012131
114377830a54
121b94404483
13c6c4c1349
146cddb6535
153eca08356
hex261754da3

10225012131 has 24 divisors (see below), whose sum is σ = 15652619280. Its totient is φ = 6596765280.

The previous prime is 10225012093. The next prime is 10225012139. The reversal of 10225012131 is 13121052201.

10225012131 is a `hidden beast` number, since 10 + 22 + 501 + 2 + 131 = 666.

10225012131 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10225012131 - 217 = 10224881059 is a prime.

It is a super-2 number, since 2×102250121312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10225012139) 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 23 ways as a sum of consecutive naturals, for example, 171090 + ... + 222983.

It is an arithmetic number, because the mean of its divisors is an integer number (652192470).

Almost surely, 210225012131 is an apocalyptic number.

10225012131 is a deficient number, since it is larger than the sum of its proper divisors (5427607149).

10225012131 is an equidigital number, since it uses as much as digits as its factorization.

10225012131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394144 (or 394107 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 10225012131 its reverse (13121052201), we get a palindrome (23346064332).

The spelling of 10225012131 in words is "ten billion, two hundred twenty-five million, twelve thousand, one hundred thirty-one".

Divisors: 1 3 9 27 31 93 279 837 961 2883 8649 25947 394073 1182219 3546657 10639971 12216263 36648789 109946367 329839101 378704153 1136112459 3408337377 10225012131