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100274112 = 263423292
BaseRepresentation
bin1011111101000…
…00111111000000
320222200110020000
411332200333000
5201132232422
613541120000
72325213231
oct576407700
9228613200
10100274112
1151669474
12296b9000
1317a0b4c3
14d463088
158c0acac
hex5fa0fc0

100274112 has 210 divisors, whose sum is σ = 321231768. Its totient is φ = 30868992.

The previous prime is 100274063. The next prime is 100274131. The reversal of 100274112 is 211472001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3457714 + ... + 3457742.

Almost surely, 2100274112 is an apocalyptic number.

100274112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100274112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160615884).

100274112 is an abundant number, since it is smaller than the sum of its proper divisors (220957656).

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

100274112 is an equidigital number, since it uses as much as digits as its factorization.

100274112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 100274112 is about 10013.6962206770. The cubic root of 100274112 is about 464.5826015088.

The spelling of 100274112 in words is "one hundred million, two hundred seventy-four thousand, one hundred twelve".