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10111122021 = 3721113481001
BaseRepresentation
bin10010110101010101…
…10111101001100101
3222002122212012212210
421122222313221211
5131201421401041
64351152234033
7505364055600
oct113252675145
928078765783
1010111122021
1143195126a0
121b6223b919
13c51a26450
146bcc0b337
153e2a0d016
hex25aab7a65

10111122021 has 48 divisors (see below), whose sum is σ = 18424300608. Its totient is φ = 4848480000.

The previous prime is 10111122017. The next prime is 10111122031. The reversal of 10111122021 is 12022111101.

It is not a de Polignac number, because 10111122021 - 22 = 10111122017 is a prime.

It is a super-2 number, since 2×101111220212 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10111121988 and 10111122006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111122031) 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 47 ways as a sum of consecutive naturals, for example, 219480 + ... + 261521.

It is an arithmetic number, because the mean of its divisors is an integer number (383839596).

Almost surely, 210111122021 is an apocalyptic number.

10111122021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10111122021 is a deficient number, since it is larger than the sum of its proper divisors (8313178587).

10111122021 is a wasteful number, since it uses less digits than its factorization.

10111122021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481042 (or 481035 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10111122021 its reverse (12022111101), we get a palindrome (22133233122).

The spelling of 10111122021 in words is "ten billion, one hundred eleven million, one hundred twenty-two thousand, twenty-one".

Divisors: 1 3 7 11 13 21 33 39 49 77 91 143 147 231 273 429 539 637 1001 1617 1911 3003 7007 21021 481001 1443003 3367007 5291011 6253013 10101021 15873033 18759039 23569049 37037077 43771091 68783143 70707147 111111231 131313273 206349429 259259539 306397637 481482001 777778617 919192911 1444446003 3370374007 10111122021