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21122322112 = 261721192009
BaseRepresentation
bin10011101010111111…
…010000111011000000
32000112001101010202101
4103222333100323000
5321224303301422
613411540400144
71345300530013
oct235277207300
960461333671
1021122322112
118a5a000261
1241159a6054
131cb8072968
14104539537a
15839560c27
hex4eafd0ec0

21122322112 has 56 divisors (see below), whose sum is σ = 44590990320. Its totient is φ = 9892700160.

The previous prime is 21122322107. The next prime is 21122322121.

21122322112 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 21122322112.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 183564 + ... + 275572.

Almost surely, 221122322112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21122322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22295495160).

21122322112 is an abundant number, since it is smaller than the sum of its proper divisors (23468668208).

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

21122322112 is a wasteful number, since it uses less digits than its factorization.

21122322112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92249 (or 92239 counting only the distinct ones).

The product of its digits is 192, while the sum is 19.

Multiplying 21122322112 by its product of digits (192), we get a palindrome (4055485845504).

The spelling of 21122322112 in words is "twenty-one billion, one hundred twenty-two million, three hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 211 272 422 544 844 1088 1688 3376 3587 6752 7174 13504 14348 28696 57392 92009 114784 184018 229568 368036 736072 1472144 1564153 2944288 3128306 5888576 6256612 12513224 19413899 25026448 38827798 50052896 77655596 100105792 155311192 310622384 330036283 621244768 660072566 1242489536 1320145132 2640290264 5280580528 10561161056 21122322112