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10122000111 = 331289290837
BaseRepresentation
bin10010110110101000…
…10111011011101111
3222010102022212211000
421123110113123233
5131212213000421
64352221331343
7505555403256
oct113324273357
928112285730
1010122000111
114324672553
121b65a06b53
13c540648a2
146c043d79d
153e395b226
hex25b5176ef

10122000111 has 16 divisors (see below), whose sum is σ = 15007240800. Its totient is φ = 6742741824.

The previous prime is 10122000059. The next prime is 10122000113. The reversal of 10122000111 is 11100022101.

It is a happy number.

It is not a de Polignac number, because 10122000111 - 219 = 10121475823 is a prime.

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 = 10122000093 and 10122000102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122000113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110616 + ... + 180221.

It is an arithmetic number, because the mean of its divisors is an integer number (937952550).

Almost surely, 210122000111 is an apocalyptic number.

10122000111 is a deficient number, since it is larger than the sum of its proper divisors (4885240689).

10122000111 is a wasteful number, since it uses less digits than its factorization.

10122000111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292135 (or 292129 counting only the distinct ones).

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

Adding to 10122000111 its reverse (11100022101), we get a palindrome (21222022212).

The spelling of 10122000111 in words is "ten billion, one hundred twenty-two million, one hundred eleven", and thus it is an aban number.

Divisors: 1 3 9 27 1289 3867 11601 34803 290837 872511 2617533 7852599 374888893 1124666679 3374000037 10122000111