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10122221112 = 233537957721
BaseRepresentation
bin10010110110101010…
…01101011000111000
3222010102202002222020
421123111031120320
5131212242033422
64352230154440
7505560313503
oct113325153070
928112662866
1010122221112
1143248035a3
121b65ab2a20
13c54111363
146c049a13a
153e39a195c
hex25b54d638

10122221112 has 32 divisors (see below), whose sum is σ = 25783019280. Its totient is φ = 3310411520.

The previous prime is 10122221089. The next prime is 10122221119. The reversal of 10122221112 is 21112222101.

10122221112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10122221091 and 10122221100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122221119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3977589 + ... + 3980132.

Almost surely, 210122221112 is an apocalyptic number.

10122221112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10122221112 is an abundant number, since it is smaller than the sum of its proper divisors (15660798168).

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

10122221112 is a wasteful number, since it uses less digits than its factorization.

10122221112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7957783 (or 7957779 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10122221112 its reverse (21112222101), we get a palindrome (31234443213).

The spelling of 10122221112 in words is "ten billion, one hundred twenty-two million, two hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 318 424 636 1272 7957721 15915442 23873163 31830884 47746326 63661768 95492652 190985304 421759213 843518426 1265277639 1687036852 2530555278 3374073704 5061110556 10122221112