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107004226228627 = 71313136312472077
BaseRepresentation
bin11000010101000111011100…
…111001001101000110010011
3112000212111121111200011110011
4120111013130321031012103
5103011124123403304002
61015325021331015351
731352541322563640
oct3025073471150623
9460774544604404
10107004226228627
1131105268125652
1210002176a3a557
1347925bc201770
141c5d06444adc7
15c5865b02e8d7
hex6151dce4d193

107004226228627 has 32 divisors (see below), whose sum is σ = 132739434584064. Its totient is φ = 83993231836800.

The previous prime is 107004226228591. The next prime is 107004226228643. The reversal of 107004226228627 is 726822622400701.

It is not a de Polignac number, because 107004226228627 - 215 = 107004226195859 is a prime.

It is a super-2 number, since 2×1070042262286272 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107004226228657) 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 31 ways as a sum of consecutive naturals, for example, 42049113 + ... + 44521189.

It is an arithmetic number, because the mean of its divisors is an integer number (4148107330752).

Almost surely, 2107004226228627 is an apocalyptic number.

107004226228627 is a deficient number, since it is larger than the sum of its proper divisors (25735208355437).

107004226228627 is a wasteful number, since it uses less digits than its factorization.

107004226228627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2475859.

The product of its (nonzero) digits is 1806336, while the sum is 49.

The spelling of 107004226228627 in words is "one hundred seven trillion, four billion, two hundred twenty-six million, two hundred twenty-eight thousand, six hundred twenty-seven".

Divisors: 1 7 13 91 131 917 1703 3631 11921 25417 47203 330421 475661 2472077 3329627 6183593 17304539 32137001 43285151 224959007 323842087 2266894609 4209947131 8976111587 29469629917 62832781109 116689450631 816826154417 1175870617897 8231094325279 15286318032661 107004226228627