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105422014412 = 2211132356914083
BaseRepresentation
bin110001000101110100…
…1000100011111001100
3101002010001010012202022
41202023221010133030
53211401013430122
6120232531345312
710421312223461
oct1421351043714
9332101105668
10105422014412
1140788a84850
1218521752238
139c30c19bb0
1451611b7668
152b20252642
hex188ba447cc

105422014412 has 96 divisors (see below), whose sum is σ = 226578885120. Its totient is φ = 42232481280.

The previous prime is 105422014403. The next prime is 105422014429. The reversal of 105422014412 is 214410224501.

It is a super-2 number, since 2×1054220144122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 7478723 + ... + 7492805.

It is an arithmetic number, because the mean of its divisors is an integer number (2360196720).

Almost surely, 2105422014412 is an apocalyptic number.

It is an amenable number.

105422014412 is an abundant number, since it is smaller than the sum of its proper divisors (121156870708).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105422014412 is a wasteful number, since it uses less digits than its factorization.

105422014412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14703 (or 14701 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

Adding to 105422014412 its reverse (214410224501), we get a palindrome (319832238913).

The spelling of 105422014412 in words is "one hundred five billion, four hundred twenty-two million, fourteen thousand, four hundred twelve".

Divisors: 1 2 4 11 13 22 23 26 44 46 52 92 143 253 286 299 506 569 572 598 1012 1138 1196 2276 3289 6259 6578 7397 12518 13087 13156 14083 14794 25036 26174 28166 29588 52348 56332 81367 143957 154913 162734 170131 183079 287914 309826 323909 325468 340262 366158 575828 619652 647818 680524 732316 1295636 1871441 2013869 3562999 3742882 4027738 4210817 7125998 7485764 8013227 8055476 8421634 14251996 16026454 16843268 32052908 46318987 88145497 92637974 104171951 176290994 184304221 185275948 208343902 352581988 368608442 416687804 737216884 1145891461 2027346431 2291782922 2395954873 4054692862 4583565844 4791909746 8109385724 9583819492 26355503603 52711007206 105422014412