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22013301619413 = 3213279353673513
BaseRepresentation
bin1010000000101010111110…
…00001011111101011010101
32212221110011211122122010200
411000111133001133223111
510341131220203310123
6114452434323011113
74431260064310326
oct500253701375325
985843154578120
1022013301619413
117017874973415
1225763aa209a99
13c38acb563a10
1456164154c44d
1528293a9e4143
hex14055f05fad5

22013301619413 has 24 divisors (see below), whose sum is σ = 34243087051992. Its totient is φ = 13546578544128.

The previous prime is 22013301619411. The next prime is 22013301619447. The reversal of 22013301619413 is 31491610331022.

22013301619413 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 3 + 30 + 1 + 619 + 4 + 1 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4193902601604 + 17819399017809 = 2047902^2 + 4221303^2 .

It is not a de Polignac number, because 22013301619413 - 21 = 22013301619411 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22013301619411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32347545 + ... + 33021057.

It is an arithmetic number, because the mean of its divisors is an integer number (1426795293833).

Almost surely, 222013301619413 is an apocalyptic number.

It is an amenable number.

22013301619413 is a deficient number, since it is larger than the sum of its proper divisors (12229785432579).

22013301619413 is a wasteful number, since it uses less digits than its factorization.

22013301619413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952885 (or 952882 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 22013301619413 in words is "twenty-two trillion, thirteen billion, three hundred one million, six hundred nineteen thousand, four hundred thirteen".

Divisors: 1 3 9 13 39 117 279353 673513 838059 2020539 2514177 3631589 6061617 8755669 10894767 26267007 32684301 78801021 188147877089 564443631267 1693330893801 2445922402157 7337767206471 22013301619413