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10122000020 = 2251159377587
BaseRepresentation
bin10010110110101000…
…10111011010010100
3222010102022212200122
421123110113122110
5131212213000040
64352221331112
7505555403066
oct113324273224
928112285618
1010122000020
114324672480
121b65a06a98
13c54064832
146c043d736
153e395b1b5
hex25b517694

10122000020 has 48 divisors (see below), whose sum is σ = 23227985088. Its totient is φ = 3674472960.

The previous prime is 10122000001. The next prime is 10122000023. The reversal of 10122000020 is 2000022101.

10122000020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10121999971 and 10122000007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122000023) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 91667 + ... + 169253.

It is an arithmetic number, because the mean of its divisors is an integer number (483916356).

Almost surely, 210122000020 is an apocalyptic number.

10122000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122000020 is an abundant number, since it is smaller than the sum of its proper divisors (13105985068).

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

10122000020 is a wasteful number, since it uses less digits than its factorization.

10122000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78200 (or 78198 counting only the distinct ones).

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

Adding to 10122000020 its reverse (2000022101), we get a palindrome (12122022121).

The spelling of 10122000020 in words is "ten billion, one hundred twenty-two million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 593 1186 2372 2965 5930 6523 11860 13046 26092 32615 65230 77587 130460 155174 310348 387935 775870 853457 1551740 1706914 3413828 4267285 8534570 17069140 46009091 92018182 184036364 230045455 460090910 506100001 920181820 1012200002 2024400004 2530500005 5061000010 10122000020