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105122212 = 2213191031033
BaseRepresentation
bin1100100010000…
…00100110100100
321022210202120021
412101000212210
5203402402322
614233044524
72414344516
oct621004644
9238722507
10105122212
115437a968
122b256744
1318a180c0
14dd65bb6
1593674c7
hex64409a4

105122212 has 48 divisors (see below), whose sum is σ = 210770560. Its totient is φ = 45474048.

The previous prime is 105122201. The next prime is 105122249. The reversal of 105122212 is 212221501.

It is a happy number.

It is a super-2 number, since 2×1051222122 = 22101358911545888, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101248 + ... + 102280.

Almost surely, 2105122212 is an apocalyptic number.

It is an amenable number.

105122212 is an abundant number, since it is smaller than the sum of its proper divisors (105648348).

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

105122212 is a wasteful number, since it uses less digits than its factorization.

105122212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 105122212 is about 10252.9123667376. The cubic root of 105122212 is about 471.9523616098.

Adding to 105122212 its reverse (212221501), we get a palindrome (317343713).

The spelling of 105122212 in words is "one hundred five million, one hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 4 13 19 26 38 52 76 103 206 247 412 494 988 1033 1339 1957 2066 2678 3914 4132 5356 7828 13429 19627 25441 26858 39254 50882 53716 78508 101764 106399 212798 255151 425596 510302 1020604 1383187 2021581 2766374 4043162 5532748 8086324 26280553 52561106 105122212