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1005312052030 = 251113703015421
BaseRepresentation
bin11101010000100010100…
…01001000101100111110
310120002212220222121221211
432220101101020230332
5112432334341131110
62045500050115034
7132426366310126
oct16502121105476
93502786877854
101005312052030
11358394499240
12142a04b7ba7a
1373a53984ab0
143692bb37c86
151b23ccac98a
hexea11448b3e

1005312052030 has 32 divisors (see below), whose sum is σ = 2125918636128. Its totient is φ = 337447401600.

The previous prime is 1005312052009. The next prime is 1005312052051. The reversal of 1005312052030 is 302502135001.

It is an interprime number because it is at equal distance from previous prime (1005312052009) and next prime (1005312052051).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1005312051992 and 1005312052010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 351506281 + ... + 351509140.

It is an arithmetic number, because the mean of its divisors is an integer number (66434957379).

Almost surely, 21005312052030 is an apocalyptic number.

1005312052030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1005312052030 is an abundant number, since it is smaller than the sum of its proper divisors (1120606584098).

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

1005312052030 is a wasteful number, since it uses less digits than its factorization.

1005312052030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703015452.

The product of its (nonzero) digits is 900, while the sum is 22.

Adding to 1005312052030 its reverse (302502135001), we get a palindrome (1307814187031).

The spelling of 1005312052030 in words is "one trillion, five billion, three hundred twelve million, fifty-two thousand, thirty".

Divisors: 1 2 5 10 11 13 22 26 55 65 110 130 143 286 715 1430 703015421 1406030842 3515077105 7030154210 7733169631 9139200473 15466339262 18278400946 38665848155 45696002365 77331696310 91392004730 100531205203 201062410406 502656026015 1005312052030