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102211113130 = 2571976850461
BaseRepresentation
bin101111100110001000…
…0011101000010101010
3100202211021020112020121
41133030100131002222
53133312021110010
6114542150513454
710245613061320
oct1371420350252
9322737215217
10102211113130
113a390566125
121798636588a
13983b9324c9
144d38991d10
1529d33ee3da
hex17cc41d0aa

102211113130 has 32 divisors (see below), whose sum is σ = 221329330560. Its totient is φ = 33199398720.

The previous prime is 102211113061. The next prime is 102211113197. The reversal of 102211113130 is 31311112201.

It is a happy number.

102211113130 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1022111131302 (a number of 23 digits) contains 22 as substring.

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, 38423901 + ... + 38426560.

It is an arithmetic number, because the mean of its divisors is an integer number (6916541580).

Almost surely, 2102211113130 is an apocalyptic number.

102211113130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102211113130 is an abundant number, since it is smaller than the sum of its proper divisors (119118217430).

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

102211113130 is a wasteful number, since it uses less digits than its factorization.

102211113130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76850494.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 102211113130 its reverse (31311112201), we get a palindrome (133522225331).

The spelling of 102211113130 in words is "one hundred two billion, two hundred eleven million, one hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 19 35 38 70 95 133 190 266 665 1330 76850461 153700922 384252305 537953227 768504610 1075906454 1460158759 2689766135 2920317518 5379532270 7300793795 10221111313 14601587590 20442222626 51105556565 102211113130