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22121111121101 = 173733734851269
BaseRepresentation
bin1010000011110011110001…
…11110000110110011001101
32220022202110021020202201122
411001321320332012303031
510344413013421333401
6115014144222450325
74442124520044326
oct501717076066315
986282407222648
1022121111121101
117059568593743
1225932774339a5
13c4601cca8075
1456694b84944d
1528564a64a21b
hex141e78f86ccd

22121111121101 has 8 divisors (see below), whose sum is σ = 23422980946680. Its totient is φ = 20819311072768.

The previous prime is 22121111121097. The next prime is 22121111121113. The reversal of 22121111121101 is 10112111112122.

It can be written as a sum of positive squares in 4 ways, for example, as 1962142585225 + 20158968535876 = 1400765^2 + 4489874^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 22121111121101 - 22 = 22121111121097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 22121111121101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22121111121001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16790906 + ... + 18060363.

It is an arithmetic number, because the mean of its divisors is an integer number (2927872618335).

Almost surely, 222121111121101 is an apocalyptic number.

It is an amenable number.

22121111121101 is a deficient number, since it is larger than the sum of its proper divisors (1301869825579).

22121111121101 is a wasteful number, since it uses less digits than its factorization.

22121111121101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34888623.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 22121111121101 its reverse (10112111112122), we get a palindrome (32233222233223).

The spelling of 22121111121101 in words is "twenty-two trillion, one hundred twenty-one billion, one hundred eleven million, one hundred twenty-one thousand, one hundred one".

Divisors: 1 17 37337 634729 34851269 592471573 1301241830653 22121111121101