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107002352311 = 4117324116257
BaseRepresentation
bin110001110100111010…
…1100101001010110111
3101020012011210200210121
41203221311211022313
53223120100233221
6121053423432411
710505421662551
oct1435165451267
9336164720717
10107002352311
114141a047028
12188a2a55707
13a12345a28a
1452710304d1
152bb3d6aa41
hex18e9d652b7

107002352311 has 16 divisors (see below), whose sum is σ = 110309115168. Its totient is φ = 103729484800.

The previous prime is 107002352299. The next prime is 107002352321. The reversal of 107002352311 is 113253200701.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 107002352311 - 235 = 72642613943 is a prime.

It is a super-2 number, since 2×1070023523112 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107002352321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17098095 + ... + 17104351.

It is an arithmetic number, because the mean of its divisors is an integer number (6894319698).

Almost surely, 2107002352311 is an apocalyptic number.

107002352311 is a deficient number, since it is larger than the sum of its proper divisors (3306762857).

107002352311 is a wasteful number, since it uses less digits than its factorization.

107002352311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8882.

The product of its (nonzero) digits is 1260, while the sum is 25.

The spelling of 107002352311 in words is "one hundred seven billion, two million, three hundred fifty-two thousand, three hundred eleven".

Divisors: 1 41 173 2411 6257 7093 98851 256537 417103 1082461 15085627 17101223 44380901 618510707 2609813471 107002352311