Search a number
-
+
22141213111242 = 2332557271159149
BaseRepresentation
bin1010000100011001001110…
…01001000111001111001010
32220101200100012200200011000
411002030213021013033022
510400230201024024432
6115031311034115430
74443435621122511
oct502144711071712
986350305620130
1022141213111242
117067043643435
12259714757bb76
13c47ba48422a4
145678d74bd678
15285e2531057c
hex1423272473ca

22141213111242 has 64 divisors (see below), whose sum is σ = 49240927008000. Its totient is φ = 7374672008640.

The previous prime is 22141213111189. The next prime is 22141213111243. The reversal of 22141213111242 is 24211131214122.

22141213111242 is a `hidden beast` number, since 2 + 2 + 1 + 412 + 1 + 3 + 1 + 1 + 1 + 242 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (22141213111243) 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, 374299884 + ... + 374359032.

It is an arithmetic number, because the mean of its divisors is an integer number (769389484500).

Almost surely, 222141213111242 is an apocalyptic number.

22141213111242 is an abundant number, since it is smaller than the sum of its proper divisors (27099713896758).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22141213111242 is a wasteful number, since it uses less digits than its factorization.

22141213111242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64428 (or 64422 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

Adding to 22141213111242 its reverse (24211131214122), we get a palindrome (46352344325364).

The spelling of 22141213111242 in words is "twenty-two trillion, one hundred forty-one billion, two hundred thirteen million, one hundred eleven thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 2557 2711 5114 5422 7671 8133 15342 16266 23013 24399 46026 48798 59149 69039 73197 118298 138078 146394 177447 354894 532341 1064682 1597023 3194046 6932027 13864054 20796081 41592162 62388243 124776486 151243993 160352939 187164729 302487986 320705878 374329458 453731979 481058817 907463958 962117634 1361195937 1443176451 2722391874 2886352902 4083587811 4329529353 8167175622 8659058706 410022465023 820044930046 1230067395069 2460134790138 3690202185207 7380404370414 11070606555621 22141213111242