Search a number
-
+
1002221313210 = 232513856599413
BaseRepresentation
bin11101001010110010000…
…10111001110010111010
310112210220112012211100200
432211121002321302322
5112410022124010320
62044225240543030
7132256656413565
oct16453102716272
93483815184320
101002221313210
11357048892437
121422a1a81a76
1373680550260
14367174714dc
151b10b793290
hexe9590b9cba

1002221313210 has 48 divisors (see below), whose sum is σ = 2806219680264. Its totient is φ = 246700630656.

The previous prime is 1002221313131. The next prime is 1002221313251. The reversal of 1002221313210 is 123131222001.

1002221313210 is a `hidden beast` number, since 100 + 22 + 21 + 313 + 210 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 416036610081 + 586184703129 = 645009^2 + 765627^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 428298537 + ... + 428300876.

Almost surely, 21002221313210 is an apocalyptic number.

1002221313210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1002221313210 is an abundant number, since it is smaller than the sum of its proper divisors (1803998367054).

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

1002221313210 is a wasteful number, since it uses less digits than its factorization.

1002221313210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856599439 (or 856599436 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1002221313210 its reverse (123131222001), we get a palindrome (1125352535211).

The spelling of 1002221313210 in words is "one trillion, two billion, two hundred twenty-one million, three hundred thirteen thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 856599413 1713198826 2569798239 4282997065 5139596478 7709394717 8565994130 11135792369 12848991195 15418789434 22271584738 25697982390 33407377107 38546973585 55678961845 66814754214 77093947170 100222131321 111357923690 167036885535 200444262642 334073771070 501110656605 1002221313210