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10005100053 = 3133159140263
BaseRepresentation
bin10010101000101100…
…11011011000010101
3221211021100202002020
421110112123120111
5130442301200203
64332444003353
7502635642624
oct112426333025
927737322066
1010005100053
114274688833
121b32830559
13c35a84960
146acacd6bb
153d8569153
hex25459b615

10005100053 has 32 divisors (see below), whose sum is σ = 15081185280. Its totient is φ = 5857341120.

The previous prime is 10005100037. The next prime is 10005100141. The reversal of 10005100053 is 35000150001.

It is not a de Polignac number, because 10005100053 - 24 = 10005100037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005100003) 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, 1200 + ... + 141462.

It is an arithmetic number, because the mean of its divisors is an integer number (471287040).

Almost surely, 210005100053 is an apocalyptic number.

10005100053 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10005100053 is a deficient number, since it is larger than the sum of its proper divisors (5076085227).

10005100053 is a wasteful number, since it uses less digits than its factorization.

10005100053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140369.

The product of its (nonzero) digits is 75, while the sum is 15.

Adding to 10005100053 its reverse (35000150001), we get a palindrome (45005250054).

The spelling of 10005100053 in words is "ten billion, five million, one hundred thousand, fifty-three".

Divisors: 1 3 13 31 39 59 93 177 403 767 1209 1829 2301 5487 23777 71331 140263 420789 1823419 4348153 5470257 8275517 13044459 24826551 56525989 107581721 169577967 256541027 322745163 769623081 3335033351 10005100053