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105220154112 = 283197210811
BaseRepresentation
bin110000111111110011…
…1000010001100000000
3101001120222021122110220
41201333213002030000
53210442324412422
6120200521023040
710413311360463
oct1417747021400
9331528248426
10105220154112
1140695041157
1218486024a80
139bcb160c28
14514246d2da
152b0c67be5c
hex187f9c2300

105220154112 has 72 divisors (see below), whose sum is σ = 294777994560. Its totient is φ = 33227412480.

The previous prime is 105220154111. The next prime is 105220154141. The reversal of 105220154112 is 211451022501.

It is a happy number.

It is a super-2 number, since 2×1052201541122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (105220154111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3590814 + ... + 3619997.

Almost surely, 2105220154112 is an apocalyptic number.

105220154112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105220154112 is an abundant number, since it is smaller than the sum of its proper divisors (189557840448).

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

105220154112 is an equidigital number, since it uses as much as digits as its factorization.

105220154112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7210849 (or 7210835 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

Adding to 105220154112 its reverse (211451022501), we get a palindrome (316671176613).

The spelling of 105220154112 in words is "one hundred five billion, two hundred twenty million, one hundred fifty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 608 768 912 1216 1824 2432 3648 4864 7296 14592 7210811 14421622 21632433 28843244 43264866 57686488 86529732 115372976 137005409 173059464 230745952 274010818 346118928 411016227 461491904 548021636 692237856 822032454 922983808 1096043272 1384475712 1644064908 1845967616 2192086544 2768951424 3288129816 4384173088 5537902848 6576259632 8768346176 13152519264 17536692352 26305038528 35073384704 52610077056 105220154112