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10122000112 = 247194756579
BaseRepresentation
bin10010110110101000…
…10111011011110000
3222010102022212211001
421123110113123300
5131212213000422
64352221331344
7505555403260
oct113324273360
928112285731
1010122000112
114324672554
121b65a06b54
13c540648a3
146c043d7a0
153e395b227
hex25b5176f0

10122000112 has 40 divisors (see below), whose sum is σ = 23592636800. Its totient is φ = 4109683392.

The previous prime is 10122000059. The next prime is 10122000113. The reversal of 10122000112 is 21100022101.

It is a super-3 number, since 3×101220001123 (a number of 31 digits) contains 333 as substring.

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 7 ways as a sum of consecutive naturals, for example, 2376162 + ... + 2380417.

It is an arithmetic number, because the mean of its divisors is an integer number (589815920).

Almost surely, 210122000112 is an apocalyptic number.

It is an amenable number.

10122000112 is an abundant number, since it is smaller than the sum of its proper divisors (13470636688).

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

10122000112 is a wasteful number, since it uses less digits than its factorization.

10122000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4756613 (or 4756607 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10122000112 its reverse (21100022101), we get a palindrome (31222022213).

The spelling of 10122000112 in words is "ten billion, one hundred twenty-two million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 532 1064 2128 4756579 9513158 19026316 33296053 38052632 66592106 76105264 90375001 133184212 180750002 266368424 361500004 532736848 632625007 723000008 1265250014 1446000016 2530500028 5061000056 10122000112