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105130623304 = 23717412693447
BaseRepresentation
bin110000111101001000…
…1100000000101001000
3101001100201211000022001
41201322101200011020
53210301414421204
6120144002040344
710411143360640
oct1417221400510
9331321730261
10105130623304
1140649550353
12184600490b4
139bb5744715
145134605520
152b048944a4
hex187a460148

105130623304 has 64 divisors (see below), whose sum is σ = 244349602560. Its totient is φ = 41371330560.

The previous prime is 105130623277. The next prime is 105130623343. The reversal of 105130623304 is 403326031501.

It is a super-2 number, since 2×1051306233042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1307692 + ... + 1385755.

It is an arithmetic number, because the mean of its divisors is an integer number (3817962540).

Almost surely, 2105130623304 is an apocalyptic number.

105130623304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105130623304 is an abundant number, since it is smaller than the sum of its proper divisors (139218979256).

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

105130623304 is a wasteful number, since it uses less digits than its factorization.

105130623304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2693518 (or 2693514 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

Adding to 105130623304 its reverse (403326031501), we get a palindrome (508456654805).

The spelling of 105130623304 in words is "one hundred five billion, one hundred thirty million, six hundred twenty-three thousand, three hundred four".

Divisors: 1 2 4 7 8 14 17 28 34 41 56 68 82 119 136 164 238 287 328 476 574 697 952 1148 1394 2296 2788 4879 5576 9758 19516 39032 2693447 5386894 10773788 18854129 21547576 37708258 45788599 75416516 91577198 110431327 150833032 183154396 220862654 320520193 366308792 441725308 641040386 773019289 883450616 1282080772 1546038578 1877332559 2564161544 3092077156 3754665118 6184154312 7509330236 13141327913 15018660472 26282655826 52565311652 105130623304