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105123441144 = 23317257655493
BaseRepresentation
bin110000111100111011…
…0000110100111111000
3101001100020022010020010
41201321312012213320
53210243100104034
6120143144101520
710411025335461
oct1417166064770
9331306263203
10105123441144
1140645495287
12184597648a0
139bb40cb617
145133695d68
152b03e263e9
hex1879d869f8

105123441144 has 32 divisors (see below), whose sum is σ = 278267933520. Its totient is φ = 32979902976.

The previous prime is 105123441121. The next prime is 105123441173. The reversal of 105123441144 is 441144321501.

It is a super-2 number, since 2×1051234411442 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128827339 + ... + 128828154.

Almost surely, 2105123441144 is an apocalyptic number.

It is an amenable number.

105123441144 is an abundant number, since it is smaller than the sum of its proper divisors (173144492376).

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

105123441144 is a wasteful number, since it uses less digits than its factorization.

105123441144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257655519 (or 257655515 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 105123441144 its reverse (441144321501), we get a palindrome (546267762645).

The spelling of 105123441144 in words is "one hundred five billion, one hundred twenty-three million, four hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 257655493 515310986 772966479 1030621972 1545932958 2061243944 3091865916 4380143381 6183731832 8760286762 13140430143 17520573524 26280860286 35041147048 52561720572 105123441144