Search a number
-
+
102050507 = 13172915923
BaseRepresentation
bin1100001010100…
…10101011001011
321010000200222102
412011102223023
5202111104012
614043144015
72346262226
oct605225313
9233020872
10102050507
1152672069
122a21500b
13181b0c20
14d7a65bd
158e5c2c2
hex6152acb

102050507 has 16 divisors (see below), whose sum is σ = 120385440. Its totient is φ = 85596672.

The previous prime is 102050497. The next prime is 102050513. The reversal of 102050507 is 705050201.

It is a cyclic number.

It is not a de Polignac number, because 102050507 - 24 = 102050491 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102050407) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1553 + ... + 14370.

It is an arithmetic number, because the mean of its divisors is an integer number (7524090).

Almost surely, 2102050507 is an apocalyptic number.

102050507 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

102050507 is a deficient number, since it is larger than the sum of its proper divisors (18334933).

102050507 is a wasteful number, since it uses less digits than its factorization.

102050507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15982.

The product of its (nonzero) digits is 350, while the sum is 20.

The square root of 102050507 is about 10102.0050979991. The cubic root of 102050507 is about 467.3099794914.

The spelling of 102050507 in words is "one hundred two million, fifty thousand, five hundred seven".

Divisors: 1 13 17 29 221 377 493 6409 15923 206999 270691 461767 3518983 6002971 7850039 102050507