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105357226130 = 25131747672953
BaseRepresentation
bin110001000011111000…
…1111011000010010010
3101001221112012121221022
41202013301323002102
53211232422214010
6120222254555442
710416564434402
oct1420761730222
9331845177838
10105357226130
1140755453412
1218503b08b82
139c20684630
145156750802
152b19705d55
hex1887c7b092

105357226130 has 32 divisors (see below), whose sum is σ = 216244519344. Its totient is φ = 36612827136.

The previous prime is 105357226127. The next prime is 105357226151. The reversal of 105357226130 is 31622753501.

It can be written as a sum of positive squares in 8 ways, for example, as 65623581241 + 39733644889 = 256171^2 + 199333^2 .

It is a super-2 number, since 2×1053572261302 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23834267 + ... + 23838686.

Almost surely, 2105357226130 is an apocalyptic number.

105357226130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105357226130 is an abundant number, since it is smaller than the sum of its proper divisors (110887293214).

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

105357226130 is a wasteful number, since it uses less digits than its factorization.

105357226130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47672990.

The product of its (nonzero) digits is 37800, while the sum is 35.

Adding to 105357226130 its reverse (31622753501), we get a palindrome (136979979631).

The spelling of 105357226130 in words is "one hundred five billion, three hundred fifty-seven million, two hundred twenty-six thousand, one hundred thirty".

Divisors: 1 2 5 10 13 17 26 34 65 85 130 170 221 442 1105 2210 47672953 95345906 238364765 476729530 619748389 810440201 1239496778 1620880402 3098741945 4052201005 6197483890 8104402010 10535722613 21071445226 52678613065 105357226130