Search a number
-
+
22122302233131 = 332953533080369
BaseRepresentation
bin1010000011110101111111…
…11101110101101000101011
32220022212112021112112021000
411001322333331311220223
510344422433332430011
6115014502332250043
74442166162244212
oct501727775655053
986285467475230
1022122302233131
11705a019979851
12259354a310923
13c4617c9a9b99
14566a21b04079
152856b9ecc356
hex141ebff75a2b

22122302233131 has 32 divisors (see below), whose sum is σ = 34543607976000. Its totient is φ = 13970970284544.

The previous prime is 22122302233099. The next prime is 22122302233219. The reversal of 22122302233131 is 13133220322122.

22122302233131 is a `hidden beast` number, since 2 + 2 + 1 + 22 + 302 + 2 + 331 + 3 + 1 = 666.

It is not a de Polignac number, because 22122302233131 - 25 = 22122302233099 is a prime.

It is a super-2 number, since 2×221223022331312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 22122302233095 and 22122302233104.

It is not an unprimeable number, because it can be changed into a prime (22122302033131) 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, 266498686 + ... + 266581683.

It is an arithmetic number, because the mean of its divisors is an integer number (1079487749250).

Almost surely, 222122302233131 is an apocalyptic number.

22122302233131 is a deficient number, since it is larger than the sum of its proper divisors (12421305742869).

22122302233131 is a wasteful number, since it uses less digits than its factorization.

22122302233131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533080460 (or 533080454 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 22122302233131 its reverse (13133220322122), we get a palindrome (35255522555253).

The spelling of 22122302233131 in words is "twenty-two trillion, one hundred twenty-two billion, three hundred two million, two hundred thirty-three thousand, one hundred thirty-one".

Divisors: 1 3 9 27 29 53 87 159 261 477 783 1431 1537 4611 13833 41499 533080369 1599241107 4797723321 14393169963 15459330701 28253259557 46377992103 84759778671 139133976309 254279336013 417401928927 762838008039 819344527153 2458033581459 7374100744377 22122302233131