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1022131350399 = 36726091949111
BaseRepresentation
bin11101101111110111100…
…01101010101101111111
310121201022002110111211110
432313323301222231333
5113221311111203044
62101321034053103
7133563240061335
oct16677361525577
93551262414743
101022131350399
11364535556025
1214611987a193
13755043b9b53
1437685819b55
151b8c468d6b9
hexedfbc6ab7f

1022131350399 has 16 divisors (see below), whose sum is σ = 1383713591040. Its totient is φ = 670992812160.

The previous prime is 1022131350353. The next prime is 1022131350463. The reversal of 1022131350399 is 9930531312201.

It is not a de Polignac number, because 1022131350399 - 225 = 1022097795967 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022131351399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 450147 + ... + 1498964.

It is an arithmetic number, because the mean of its divisors is an integer number (86482099440).

Almost surely, 21022131350399 is an apocalyptic number.

1022131350399 is a deficient number, since it is larger than the sum of its proper divisors (361582240641).

1022131350399 is a wasteful number, since it uses less digits than its factorization.

1022131350399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1951790.

The product of its (nonzero) digits is 43740, while the sum is 39.

The spelling of 1022131350399 in words is "one trillion, twenty-two billion, one hundred thirty-one million, three hundred fifty thousand, three hundred ninety-nine".

Divisors: 1 3 67 201 2609 7827 174803 524409 1949111 5847333 130590437 391771311 5085230599 15255691797 340710450133 1022131350399