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10122234221 = 1161310871381
BaseRepresentation
bin10010110110101010…
…10000100101101101
3222010102202202221202
421123111100211231
5131212242443341
64352230335245
7505560366641
oct113325204555
928112682852
1010122234221
114324812430
121b65aba525
13c54117308
146c04a0c21
153e39a579b
hex25b55096d

10122234221 has 16 divisors (see below), whose sum is σ = 11078642688. Its totient is φ = 9171921600.

The previous prime is 10122234191. The next prime is 10122234233. The reversal of 10122234221 is 12243222101.

10122234221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10122234221 - 226 = 10055125357 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10122234193 and 10122234202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122234121) 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 15 ways as a sum of consecutive naturals, for example, 7328951 + ... + 7330331.

It is an arithmetic number, because the mean of its divisors is an integer number (692415168).

Almost surely, 210122234221 is an apocalyptic number.

10122234221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10122234221 is a deficient number, since it is larger than the sum of its proper divisors (956408467).

10122234221 is a wasteful number, since it uses less digits than its factorization.

10122234221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3092.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10122234221 its reverse (12243222101), we get a palindrome (22365456322).

The spelling of 10122234221 in words is "ten billion, one hundred twenty-two million, two hundred thirty-four thousand, two hundred twenty-one".

Divisors: 1 11 613 1087 1381 6743 11957 15191 666331 846553 1501147 7329641 9312083 16512617 920203111 10122234221