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22122220111121 = 1310457162733981
BaseRepresentation
bin1010000011110101110110…
…00100100100010100010001
32220022212022120000022001002
411001322323010210110101
510344422301322023441
6115014450240151345
74442164144232354
oct501727304442421
986285276008032
1022122220111121
117059a87589319
122593526908555
13c46168985990
14566a14c4829b
152856b2ba9b9b
hex141ebb124511

22122220111121 has 8 divisors (see below), whose sum is σ = 23826207772584. Its totient is φ = 20418557938560.

The previous prime is 22122220111049. The next prime is 22122220111127. The reversal of 22122220111121 is 12111102222122.

It can be written as a sum of positive squares in 4 ways, for example, as 6241198101121 + 15881022010000 = 2498239^2 + 3985100^2 .

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 22122220111121 - 222 = 22122215916817 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22122220111093 and 22122220111102.

It is not an unprimeable number, because it can be changed into a prime (22122220111127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81231050 + ... + 81502931.

It is an arithmetic number, because the mean of its divisors is an integer number (2978275971573).

Almost surely, 222122220111121 is an apocalyptic number.

It is an amenable number.

22122220111121 is a deficient number, since it is larger than the sum of its proper divisors (1703987661463).

22122220111121 is a wasteful number, since it uses less digits than its factorization.

22122220111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162744451.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 22122220111121 its reverse (12111102222122), we get a palindrome (34233322333243).

The spelling of 22122220111121 in words is "twenty-two trillion, one hundred twenty-two billion, two hundred twenty million, one hundred eleven thousand, one hundred twenty-one".

Divisors: 1 13 10457 135941 162733981 2115541753 1701709239317 22122220111121