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10020505105 = 5132389127593
BaseRepresentation
bin10010101010100010…
…01100011000010001
3221212100100101211201
421111101030120101
5131010222130410
64334154111201
7503213613412
oct112521143021
927770311751
1010020505105
11428234a886
121b37a1b501
13c39019780
146b0b7d809
153d9aad83a
hex25544c611

10020505105 has 64 divisors (see below), whose sum is σ = 13795246080. Its totient is φ = 6931685376.

The previous prime is 10020505097. The next prime is 10020505147. The reversal of 10020505105 is 50150502001.

It is a cyclic number.

It is not a de Polignac number, because 10020505105 - 23 = 10020505097 is a prime.

It is a super-2 number, since 2×100205051052 (a number of 21 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 16897689 + ... + 16898281.

It is an arithmetic number, because the mean of its divisors is an integer number (215550720).

Almost surely, 210020505105 is an apocalyptic number.

It is an amenable number.

10020505105 is a deficient number, since it is larger than the sum of its proper divisors (3774740975).

10020505105 is a wasteful number, since it uses less digits than its factorization.

10020505105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850.

The product of its (nonzero) digits is 250, while the sum is 19.

The spelling of 10020505105 in words is "ten billion, twenty million, five hundred five thousand, one hundred five".

Divisors: 1 5 13 23 65 89 115 127 299 445 593 635 1157 1495 1651 2047 2921 2965 5785 7709 8255 10235 11303 13639 14605 26611 37973 38545 52777 56515 68195 75311 133055 146939 177307 189865 259969 263885 376555 686101 734695 886535 979043 1213871 1299845 1732153 3379597 3430505 4895215 6069355 6702679 8660765 15780323 16897985 22517989 33513395 78901615 87134827 112589945 154161617 435674135 770808085 2004101021 10020505105