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22013301619441 = 1152312487306431
BaseRepresentation
bin1010000000101010111110…
…00001011111101011110001
32212221110011211122122011201
411000111133001133223301
510341131220203310231
6114452434323011201
74431260064310366
oct500253701375361
985843154578151
1022013301619441
117017874973440
1225763aa209b01
13c38acb563a32
1456164154c46d
1528293a9e4161
hex14055f05faf1

22013301619441 has 16 divisors (see below), whose sum is σ = 24062433067008. Its totient is φ = 19972163595600.

The previous prime is 22013301619411. The next prime is 22013301619447. The reversal of 22013301619441 is 14491610331022.

It is a cyclic number.

It is not a de Polignac number, because 22013301619441 - 29 = 22013301618929 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 22013301619441.

It is not an unprimeable number, because it can be changed into a prime (22013301619447) 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 15 ways as a sum of consecutive naturals, for example, 71684496 + ... + 71990926.

It is an arithmetic number, because the mean of its divisors is an integer number (1503902066688).

Almost surely, 222013301619441 is an apocalyptic number.

It is an amenable number.

22013301619441 is a deficient number, since it is larger than the sum of its proper divisors (2049131447567).

22013301619441 is a wasteful number, since it uses less digits than its factorization.

22013301619441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319452.

The product of its (nonzero) digits is 31104, while the sum is 37.

The spelling of 22013301619441 in words is "twenty-two trillion, thirteen billion, three hundred one million, six hundred nineteen thousand, four hundred forty-one".

Divisors: 1 11 523 5753 12487 137357 306431 3370741 6530701 71837711 160263413 1762897543 3826403897 42090442867 2001209238131 22013301619441