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22121011110019 = 317989691007099
BaseRepresentation
bin1010000011110011100110…
…00000100110000010000011
32220022202012022001200022111
411001321303000212002003
510344412312321010034
6115014130251120151
74442122164004663
oct501716300460203
986282168050274
1022121011110019
117059517094958
122593249a43057
13c4600535c503
1456693c4541a3
15285641992364
hex141e73026083

22121011110019 has 16 divisors (see below), whose sum is σ = 23126238720000. Its totient is φ = 21134072381760.

The previous prime is 22121011109987. The next prime is 22121011110041. The reversal of 22121011110019 is 91001111012122.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 22121011110019 - 25 = 22121011109987 is a prime.

It is a super-3 number, since 3×221210111100193 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22121011116019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21461532 + ... + 22468630.

It is an arithmetic number, because the mean of its divisors is an integer number (1445389920000).

Almost surely, 222121011110019 is an apocalyptic number.

22121011110019 is a deficient number, since it is larger than the sum of its proper divisors (1005227609981).

22121011110019 is a wasteful number, since it uses less digits than its factorization.

22121011110019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016178.

The product of its (nonzero) digits is 72, while the sum is 22.

The spelling of 22121011110019 in words is "twenty-two trillion, one hundred twenty-one billion, eleven million, one hundred ten thousand, nineteen".

Divisors: 1 31 79 2449 8969 278039 708551 1007099 21965081 31220069 79560821 2466385451 9032670931 280012798861 713581003549 22121011110019