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1005050105060 = 22550252505253
BaseRepresentation
bin11101010000000011010…
…01111000110011100100
310120002012200002100021012
432220001221320303210
5112431320311330220
62045414051441352
7132420035636261
oct16500151706344
93502180070235
101005050105060
1135826a645641
121429512b6258
1373a1161b5a1
143690502c268
151b224cb8ac5
hexea01a78ce4

1005050105060 has 12 divisors (see below), whose sum is σ = 2110605220668. Its totient is φ = 402020042016.

The previous prime is 1005050105057. The next prime is 1005050105063. The reversal of 1005050105060 is 605010505001.

It is an interprime number because it is at equal distance from previous prime (1005050105057) and next prime (1005050105063).

It can be written as a sum of positive squares in 2 ways, for example, as 534223580836 + 470826524224 = 730906^2 + 686168^2 .

It is a super-2 number, since 2×10050501050602 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1005050105063) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25126252607 + ... + 25126252646.

It is an arithmetic number, because the mean of its divisors is an integer number (175883768389).

Almost surely, 21005050105060 is an apocalyptic number.

1005050105060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005050105060 is an abundant number, since it is smaller than the sum of its proper divisors (1105555115608).

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

1005050105060 is a wasteful number, since it uses less digits than its factorization.

1005050105060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50252505262 (or 50252505260 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 23.

The spelling of 1005050105060 in words is "one trillion, five billion, fifty million, one hundred five thousand, sixty".

Divisors: 1 2 4 5 10 20 50252505253 100505010506 201010021012 251262526265 502525052530 1005050105060