Search a number
-
+
22122310340141 = 1197151281488633
BaseRepresentation
bin1010000011110110000000…
…11100110000111000101101
32220022212112211210101222122
411001323000130300320231
510344422442421341031
6115014503222122325
74442166321200624
oct501730034607055
986285484711878
1022122310340141
11705a023506760
122593550b803a5
13c46181587c2b
14566a22c146bb
152856baa7e47b
hex141ec0730e2d

22122310340141 has 32 divisors (see below), whose sum is σ = 24631093944576. Its totient is φ = 19701642240000.

The previous prime is 22122310340093. The next prime is 22122310340147. The reversal of 22122310340141 is 14104301322122.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22122310340141 is a prime.

It is a super-2 number, since 2×221223103401412 (a number of 27 digits) contains 22 as substring.

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 22122310340141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22122310340147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45029561 + ... + 45518193.

It is an arithmetic number, because the mean of its divisors is an integer number (769721685768).

Almost surely, 222122310340141 is an apocalyptic number.

It is an amenable number.

22122310340141 is a deficient number, since it is larger than the sum of its proper divisors (2508783604435).

22122310340141 is a wasteful number, since it uses less digits than its factorization.

22122310340141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489173.

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 22122310340141 its reverse (14104301322122), we get a palindrome (36226611662263).

The spelling of 22122310340141 in words is "twenty-two trillion, one hundred twenty-two billion, three hundred ten million, three hundred forty thousand, one hundred forty-one".

Divisors: 1 11 97 151 281 1067 1661 3091 14647 27257 42431 161117 299827 466741 488633 4115807 5374963 45273877 47397401 73783583 137305873 521371411 811619413 1510364603 7157007551 13318669681 20733186823 78727083061 146505366491 228065055053 2011119121831 22122310340141