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10122002112 = 263223236407
BaseRepresentation
bin10010110110101000…
…10111111011000000
3222010102022222120010
421123110113323000
5131212213031422
64352221344520
7505555412145
oct113324277300
928112288503
1010122002112
114324674002
121b65a08140
13c54065781
146c04403cc
153e395bb0c
hex25b517ec0

10122002112 has 56 divisors (see below), whose sum is σ = 26901339136. Its totient is φ = 3358856448.

The previous prime is 10122002087. The next prime is 10122002161. The reversal of 10122002112 is 21120022101.

10122002112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 75388 + ... + 161019.

It is an arithmetic number, because the mean of its divisors is an integer number (480381056).

Almost surely, 210122002112 is an apocalyptic number.

10122002112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10122002112 is an abundant number, since it is smaller than the sum of its proper divisors (16779337024).

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

10122002112 is a wasteful number, since it uses less digits than its factorization.

10122002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236645 (or 236635 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10122002112 its reverse (21120022101), we get a palindrome (31242024213).

The spelling of 10122002112 in words is "ten billion, one hundred twenty-two million, two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 223 446 669 892 1338 1784 2676 3568 5352 7136 10704 14272 21408 42816 236407 472814 709221 945628 1418442 1891256 2836884 3782512 5673768 7565024 11347536 15130048 22695072 45390144 52718761 105437522 158156283 210875044 316312566 421750088 632625132 843500176 1265250264 1687000352 2530500528 3374000704 5061001056 10122002112