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10422100 = 2252138017
BaseRepresentation
bin100111110000…
…011101010100
3201121111102201
4213300131110
510132001400
61011214244
7154405063
oct47603524
921544381
1010422100
115979307
1235a7384
13220ba30
1415541da
15dad06a
hex9f0754

10422100 has 36 divisors (see below), whose sum is σ = 24358684. Its totient is φ = 3847680.

The previous prime is 10422067. The next prime is 10422101. The reversal of 10422100 is 122401.

10422100 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 898704 + 9523396 = 948^2 + 3086^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10422101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2709 + ... + 5308.

Almost surely, 210422100 is an apocalyptic number.

10422100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10422100 is an abundant number, since it is smaller than the sum of its proper divisors (13936584).

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

10422100 is a wasteful number, since it uses less digits than its factorization.

10422100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8044 (or 8037 counting only the distinct ones).

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

The square root of 10422100 is about 3228.3277404873. The cubic root of 10422100 is about 218.4330812149.

Adding to 10422100 its reverse (122401), we get a palindrome (10544501).

The spelling of 10422100 in words is "ten million, four hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 8017 16034 32068 40085 80170 104221 160340 200425 208442 400850 416884 521105 801700 1042210 2084420 2605525 5211050 10422100