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22121112101 = 1129505113729
BaseRepresentation
bin10100100110100001…
…010110001000100101
32010002122202221001012
4110212201112020211
5330301001041401
614055020112005
71412116231124
oct244641261045
963078687035
1022121112101
119421877a30
124354395605
132116c7815a
1410dbca9abb
158970a38bb
hex526856225

22121112101 has 16 divisors (see below), whose sum is σ = 24971025600. Its totient is φ = 19411392000.

The previous prime is 22121112067. The next prime is 22121112107. The reversal of 22121112101 is 10121112122.

It is a de Polignac number, because none of the positive numbers 2k-22121112101 is a prime.

It is a super-3 number, since 3×221211121013 (a number of 32 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22121112107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1604405 + ... + 1618133.

It is an arithmetic number, because the mean of its divisors is an integer number (1560689100).

Almost surely, 222121112101 is an apocalyptic number.

It is an amenable number.

22121112101 is a deficient number, since it is larger than the sum of its proper divisors (2849913499).

22121112101 is a wasteful number, since it uses less digits than its factorization.

22121112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18820.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 22121112101 its reverse (10121112122), we get a palindrome (32242224223).

The spelling of 22121112101 in words is "twenty-two billion, one hundred twenty-one million, one hundred twelve thousand, one hundred one".

Divisors: 1 11 29 319 5051 13729 55561 146479 151019 398141 1611269 4379551 69345179 762796969 2011010191 22121112101