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107100218335 = 51110319979467
BaseRepresentation
bin110001110111110101…
…0111010001111011111
3101020102222221210202011
41203233222322033133
53223320123441320
6121111241212051
710511020556335
oct1435752721737
9336388853664
10107100218335
114146a310240
121890b791027
13a13a804676
145280027b55
152bbc74d05a
hex18efaba3df

107100218335 has 32 divisors (see below), whose sum is σ = 141650975232. Its totient is φ = 77088074880.

The previous prime is 107100218311. The next prime is 107100218339. The reversal of 107100218335 is 533812001701.

It is not a de Polignac number, because 107100218335 - 29 = 107100217823 is a prime.

It is a super-4 number, since 4×1071002183354 (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 107100218297 and 107100218306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107100218339) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11308272 + ... + 11317738.

It is an arithmetic number, because the mean of its divisors is an integer number (4426592976).

Almost surely, 2107100218335 is an apocalyptic number.

107100218335 is a deficient number, since it is larger than the sum of its proper divisors (34550756897).

107100218335 is a wasteful number, since it uses less digits than its factorization.

107100218335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11583.

The product of its (nonzero) digits is 5040, while the sum is 31.

The spelling of 107100218335 in words is "one hundred seven billion, one hundred million, two hundred eighteen thousand, three hundred thirty-five".

Divisors: 1 5 11 55 103 515 1133 1997 5665 9467 9985 21967 47335 104137 109835 205691 520685 975101 1028455 2262601 4875505 10726111 11313005 18905599 53630555 94527995 207961589 1039807945 1947276697 9736383485 21420043667 107100218335