Search a number
-
+
22431034131 = 31161107223467
BaseRepresentation
bin10100111000111111…
…100110101100010011
32010220020221121010220
4110320333212230103
5331414321043011
614145450524123
71422601433652
oct247077465423
963806847126
1022431034131
119570808a40
124420136643
13216623b17c
14112b103199
158b43c2506
hex538fe6b13

22431034131 has 64 divisors (see below), whose sum is σ = 33693843456. Its totient is φ = 13159094400.

The previous prime is 22431034123. The next prime is 22431034163. The reversal of 22431034131 is 13143013422.

It is a happy number.

It is not a de Polignac number, because 22431034131 - 23 = 22431034123 is a prime.

It is a super-2 number, since 2×224310341312 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22431034181) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48031960 + ... + 48032426.

It is an arithmetic number, because the mean of its divisors is an integer number (526466304).

Almost surely, 222431034131 is an apocalyptic number.

22431034131 is a deficient number, since it is larger than the sum of its proper divisors (11262809325).

22431034131 is a wasteful number, since it uses less digits than its factorization.

22431034131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 22431034131 its reverse (13143013422), we get a palindrome (35574047553).

The spelling of 22431034131 in words is "twenty-two billion, four hundred thirty-one million, thirty-four thousand, one hundred thirty-one".

Divisors: 1 3 11 33 61 107 183 223 321 467 669 671 1177 1401 2013 2453 3531 5137 6527 7359 13603 15411 19581 23861 28487 40809 49969 71583 71797 85461 104141 149633 149907 215391 262471 312423 313357 448899 549659 787413 940071 1145551 1455521 1648977 3048109 3436653 4366563 6352601 9144327 11143087 16010731 19057803 33429261 33529199 48032193 69878611 100587597 122573957 209635833 367721871 679728307 2039184921 7477011377 22431034131