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1322133013220 = 22573905570557
BaseRepresentation
bin10011001111010101010…
…001001100001011100100
311200101122201112000112112
4103033111101030023210
5133130212022410340
62451213550540152
7164343455120615
oct23172521141344
94611581460475
101322133013220
1146a793688658
121942a3807658
13978a467b576
1447dc4c71c0c
15245d207a065
hex133d544c2e4

1322133013220 has 24 divisors (see below), whose sum is σ = 2814513294264. Its totient is φ = 521608640256.

The previous prime is 1322133013189. The next prime is 1322133013231. The reversal of 1322133013220 is 223103312231.

It can be written as a sum of positive squares in 4 ways, for example, as 102128819776 + 1220004193444 = 319576^2 + 1104538^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 452783819 + ... + 452786738.

It is an arithmetic number, because the mean of its divisors is an integer number (117271387261).

Almost surely, 21322133013220 is an apocalyptic number.

1322133013220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1322133013220 is an abundant number, since it is smaller than the sum of its proper divisors (1492380281044).

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

1322133013220 is a wasteful number, since it uses less digits than its factorization.

1322133013220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905570639 (or 905570637 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 1322133013220 its reverse (223103312231), we get a palindrome (1545236325451).

The spelling of 1322133013220 in words is "one trillion, three hundred twenty-two billion, one hundred thirty-three million, thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 73 146 292 365 730 1460 905570557 1811141114 3622282228 4527852785 9055705570 18111411140 66106650661 132213301322 264426602644 330533253305 661066506610 1322133013220