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105120004132 = 221113577318503
BaseRepresentation
bin110000111100110100…
…0111111100000100100
3101001022222211111112101
41201321220333200210
53210241210113012
6120142542301444
710410654202153
oct1417150774044
9331288744471
10105120004132
1140643557a80
1218458587884
139bb34970a0
14513303d59a
152b03997d57
hex1879a3f824

105120004132 has 48 divisors (see below), whose sum is σ = 216496086912. Its totient is φ = 44029716480.

The previous prime is 105120004127. The next prime is 105120004133. The reversal of 105120004132 is 231400021501.

It is a super-2 number, since 2×1051200041322 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105120004133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170793 + ... + 489295.

It is an arithmetic number, because the mean of its divisors is an integer number (4510335144).

Almost surely, 2105120004132 is an apocalyptic number.

It is an amenable number.

105120004132 is an abundant number, since it is smaller than the sum of its proper divisors (111376082780).

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

105120004132 is a wasteful number, since it uses less digits than its factorization.

105120004132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319108 (or 319106 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 105120004132 its reverse (231400021501), we get a palindrome (336520025633).

The spelling of 105120004132 in words is "one hundred five billion, one hundred twenty million, four thousand, one hundred thirty-two".

Divisors: 1 2 4 11 13 22 26 44 52 143 286 572 577 1154 2308 6347 7501 12694 15002 25388 30004 82511 165022 318503 330044 637006 1274012 3503533 4140539 7007066 8281078 14014132 16562156 45545929 91091858 182183716 183776231 367552462 735104924 2021538541 2389091003 4043077082 4778182006 8086154164 9556364012 26280001033 52560002066 105120004132