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123420100 = 22522335297
BaseRepresentation
bin1110101101100…
…11110111000100
322121020101112211
413112303313010
5223043420400
620125153204
73026024236
oct726636704
9277211484
10123420100
1163738391
12353bb804
131c75385b
141256a256
15ac7ddba
hex75b3dc4

123420100 has 36 divisors (see below), whose sum is σ = 269021844. Its totient is φ = 49146880.

The previous prime is 123420071. The next prime is 123420137. The reversal of 123420100 is 1024321.

It can be written as a sum of positive squares in 6 ways, for example, as 2067844 + 121352256 = 1438^2 + 11016^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20652 + ... + 25948.

It is an arithmetic number, because the mean of its divisors is an integer number (7472829).

Almost surely, 2123420100 is an apocalyptic number.

123420100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123420100 is an abundant number, since it is smaller than the sum of its proper divisors (145601744).

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

123420100 is a wasteful number, since it uses less digits than its factorization.

123420100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5544 (or 5537 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 123420100 is about 11109.4599328680. The cubic root of 123420100 is about 497.8845288532.

Adding to 123420100 its reverse (1024321), we get a palindrome (124444421).

The spelling of 123420100 in words is "one hundred twenty-three million, four hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 233 466 932 1165 2330 4660 5297 5825 10594 11650 21188 23300 26485 52970 105940 132425 264850 529700 1234201 2468402 4936804 6171005 12342010 24684020 30855025 61710050 123420100