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10422000100 = 2252971074433
BaseRepresentation
bin10011011010011001…
…10001100111100100
3222220022211110102201
421231030301213210
5132321013000400
64442055344244
7516160352641
oct115514614744
928808743381
1010422000100
114468a46a26
12202a382084
13ca1262685
1470c212dc8
1540ee6a06a
hex26d3319e4

10422000100 has 36 divisors (see below), whose sum is σ = 22848913444. Its totient is φ = 4125818880.

The previous prime is 10422000089. The next prime is 10422000103. The reversal of 10422000100 is 100022401.

10422000100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 179345664 + 10242654436 = 13392^2 + 101206^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10422000103) 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 11 ways as a sum of consecutive naturals, for example, 527517 + ... + 546916.

Almost surely, 210422000100 is an apocalyptic number.

10422000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10422000100 is an abundant number, since it is smaller than the sum of its proper divisors (12426913344).

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

10422000100 is a wasteful number, since it uses less digits than its factorization.

10422000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074544 (or 1074537 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10422000100 its reverse (100022401), we get a palindrome (10522022501).

The spelling of 10422000100 in words is "ten billion, four hundred twenty-two million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 97 100 194 388 485 970 1940 2425 4850 9700 1074433 2148866 4297732 5372165 10744330 21488660 26860825 53721650 104220001 107443300 208440002 416880004 521100005 1042200010 2084400020 2605500025 5211000050 10422000100