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10011022000110 = 2325111233577779
BaseRepresentation
bin1001000110101101111101…
…1010001111111111101110
31022110001012100001212112200
42101223133122033333232
52303010033113000420
633143000000442330
72052162312656355
oct221533732177756
938401170055480
1010011022000110
11320a717a2891a
1211582530193a6
1357805c7b6791
14268770cc899c
151256228cab90
hex91adf68ffee

10011022000110 has 24 divisors (see below), whose sum is σ = 26028657200520. Its totient is φ = 2669605866672.

The previous prime is 10011022000099. The next prime is 10011022000157. The reversal of 10011022000110 is 1100022011001.

It is a happy number.

It is a super-2 number, since 2×100110220001102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10011022000092 and 10011022000101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55616788800 + ... + 55616788979.

It is an arithmetic number, because the mean of its divisors is an integer number (1084527383355).

Almost surely, 210011022000110 is an apocalyptic number.

10011022000110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10011022000110 is an abundant number, since it is smaller than the sum of its proper divisors (16017635200410).

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

10011022000110 is a wasteful number, since it uses less digits than its factorization.

10011022000110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111233577792 (or 111233577789 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10011022000110 its reverse (1100022011001), we get a palindrome (11111044011111).

The spelling of 10011022000110 in words is "ten trillion, eleven billion, twenty-two million, one hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 111233577779 222467155558 333700733337 556167888895 667401466674 1001102200011 1112335777790 1668503666685 2002204400022 3337007333370 5005511000055 10011022000110