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10005110050 = 2521315392477
BaseRepresentation
bin10010101000101100…
…11101110100100010
3221211021101020210111
421110112131310202
5130442302010200
64332444121534
7502636014025
oct112426356442
927737336714
1010005110050
1142746952a1
121b328362aa
13c35a89380
146acad31bc
153d856c0ba
hex25459dd22

10005110050 has 24 divisors (see below), whose sum is σ = 20041006356. Its totient is φ = 3694194240.

The previous prime is 10005110021. The next prime is 10005110111. The reversal of 10005110050 is 5001150001.

It can be written as a sum of positive squares in 6 ways, for example, as 1808885961 + 8196224089 = 42531^2 + 90533^2 .

It is a super-2 number, since 2×100051100502 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 10005110050.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7695589 + ... + 7696888.

Almost surely, 210005110050 is an apocalyptic number.

10005110050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10005110050 is an abundant number, since it is smaller than the sum of its proper divisors (10035896306).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10005110050 is a wasteful number, since it uses less digits than its factorization.

10005110050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15392502 (or 15392497 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 13.

Adding to 10005110050 its reverse (5001150001), we get a palindrome (15006260051).

The spelling of 10005110050 in words is "ten billion, five million, one hundred ten thousand, fifty".

Divisors: 1 2 5 10 13 25 26 50 65 130 325 650 15392477 30784954 76962385 153924770 200102201 384811925 400204402 769623850 1000511005 2001022010 5002555025 10005110050