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105113505344 = 263484947129
BaseRepresentation
bin110000111100101000…
…0001100111001000000
3101001022112121022212112
41201321100030321000
53210233024132334
6120142151114452
710410545024231
oct1417120147100
9331275538775
10105113505344
114063a919381
1218456372a28
139bb2030053
14513222b088
152b031124ce
hex187940ce40

105113505344 has 28 divisors (see below), whose sum is σ = 208595023500. Its totient is φ = 52554129408.

The previous prime is 105113505337. The next prime is 105113505377. The reversal of 105113505344 is 443505311501.

It can be written as a sum of positive squares in 2 ways, for example, as 985960000 + 104127545344 = 31400^2 + 322688^2 .

It is a super-2 number, since 2×1051135053442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 105113505344.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2206772 + ... + 2253900.

Almost surely, 2105113505344 is an apocalyptic number.

It is an amenable number.

105113505344 is a deficient number, since it is larger than the sum of its proper divisors (103481518156).

105113505344 is an equidigital number, since it uses as much as digits as its factorization.

105113505344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81990 (or 81980 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

Adding to 105113505344 its reverse (443505311501), we get a palindrome (548618816845).

The spelling of 105113505344 in words is "one hundred five billion, one hundred thirteen million, five hundred five thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 34849 47129 69698 94258 139396 188516 278792 377032 557584 754064 1115168 1508128 2230336 3016256 1642398521 3284797042 6569594084 13139188168 26278376336 52556752672 105113505344