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22114144141122 = 2311335062790017
BaseRepresentation
bin1010000011100110110011…
…01101001011111101000010
32220022002110201122111220010
411001303121231023331002
510344304231400003442
6115011033024125350
74441460051512335
oct501633155137502
986262421574803
1022114144141122
117056612942550
122591a52166856
13c4547c7938c7
1456648a44661c
1528538dba4b9c
hex141cd9b4bf42

22114144141122 has 16 divisors (see below), whose sum is σ = 48249041762592. Its totient is φ = 6701255800320.

The previous prime is 22114144141087. The next prime is 22114144141207.

It is a happy number.

22114144141122 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 22114144141122.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 167531394943 + ... + 167531395074.

It is an arithmetic number, because the mean of its divisors is an integer number (3015565110162).

Almost surely, 222114144141122 is an apocalyptic number.

22114144141122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22114144141122 is an abundant number, since it is smaller than the sum of its proper divisors (26134897621470).

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

22114144141122 is a wasteful number, since it uses less digits than its factorization.

22114144141122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335062790033.

The product of its digits is 4096, while the sum is 30.

It can be divided in two parts, 2211414 and 4141122, that added together give a palindrome (6352536).

The spelling of 22114144141122 in words is "twenty-two trillion, one hundred fourteen billion, one hundred forty-four million, one hundred forty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 335062790017 670125580034 1005188370051 2010376740102 3685690690187 7371381380374 11057072070561 22114144141122