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122433100 = 22526120071
BaseRepresentation
bin1110100110000…
…10111001001100
322112101020122021
413103002321030
5222320324400
620052055524
73014443546
oct723027114
9275336567
10122433100
1163123889
12350045a4
131c49952a
1412390696
15ab3671a
hex74c2e4c

122433100 has 36 divisors (see below), whose sum is σ = 270048688. Its totient is φ = 48168000.

The previous prime is 122433097. The next prime is 122433107. The reversal of 122433100 is 1334221.

It is a happy number.

It is a super-2 number, since 2×1224331002 = 29979727951220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122433107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3936 + ... + 16135.

Almost surely, 2122433100 is an apocalyptic number.

122433100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122433100 is an abundant number, since it is smaller than the sum of its proper divisors (147615588).

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

122433100 is a wasteful number, since it uses less digits than its factorization.

122433100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20146 (or 20139 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 122433100 is about 11064.9491639139. The cubic root of 122433100 is about 496.5537682119.

Adding to 122433100 its reverse (1334221), we get a palindrome (123767321).

The spelling of 122433100 in words is "one hundred twenty-two million, four hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 610 1220 1525 3050 6100 20071 40142 80284 100355 200710 401420 501775 1003550 1224331 2007100 2448662 4897324 6121655 12243310 24486620 30608275 61216550 122433100