Search a number
-
+
21122201121999 = 3113145142940991
BaseRepresentation
bin1001100110101111001010…
…10010110111010011001111
32202210021002111212010101020
410303113211102313103033
510232031231441400444
6112531223310445223
74310012556124425
oct463274522672317
982707074763336
1021122201121999
11680396997363a
12245175a503813
13ba2a7979bb93
1453046a09b115
15269684942119
hex1335e54b74cf

21122201121999 has 16 divisors (see below), whose sum is σ = 28431746095104. Its totient is φ = 13947233552000.

The previous prime is 21122201121781. The next prime is 21122201122007. The reversal of 21122201121999 is 99912110222112.

It is a cyclic number.

It is not a de Polignac number, because 21122201121999 - 28 = 21122201121743 is a prime.

It is a super-2 number, since 2×211222011219992 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21122201121999.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21122201121199) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20978607 + ... + 21962384.

It is an arithmetic number, because the mean of its divisors is an integer number (1776984130944).

Almost surely, 221122201121999 is an apocalyptic number.

21122201121999 is a deficient number, since it is larger than the sum of its proper divisors (7309544973105).

21122201121999 is a wasteful number, since it uses less digits than its factorization.

21122201121999 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42942558.

The product of its (nonzero) digits is 23328, while the sum is 42.

The spelling of 21122201121999 in words is "twenty-one trillion, one hundred twenty-two billion, two hundred one million, one hundred twenty-one thousand, nine hundred ninety-nine".

Divisors: 1 3 113 339 1451 4353 163963 491889 42940991 128822973 4852331983 14556995949 62307377941 186922133823 7040733707333 21122201121999