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10142617245 = 3516722917681
BaseRepresentation
bin10010111001000110…
…00000111010011101
3222011212010100012120
421130203000322131
5131233002222440
64354235253153
7506225552445
oct113443007235
928155110176
1010142617245
114335274502
121b708aa1b9
13c58402b87
146c3089125
153e567edd0
hex25c8c0e9d

10142617245 has 32 divisors (see below), whose sum is σ = 16397579520. Its totient is φ = 5353221120.

The previous prime is 10142617237. The next prime is 10142617283. The reversal of 10142617245 is 54271624101.

10142617245 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10142617245 - 23 = 10142617237 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 564805 + ... + 582485.

It is an arithmetic number, because the mean of its divisors is an integer number (512424360).

Almost surely, 210142617245 is an apocalyptic number.

10142617245 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10142617245 is a deficient number, since it is larger than the sum of its proper divisors (6254962275).

10142617245 is a wasteful number, since it uses less digits than its factorization.

10142617245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18085.

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 10142617245 in words is "ten billion, one hundred forty-two million, six hundred seventeen thousand, two hundred forty-five".

Divisors: 1 3 5 15 167 229 501 687 835 1145 2505 3435 17681 38243 53043 88405 114729 191215 265215 573645 2952727 4048949 8858181 12146847 14763635 20244745 44290905 60734235 676174483 2028523449 3380872415 10142617245