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100775112 = 2334198963
BaseRepresentation
bin1100000000110…
…11010011001000
321000121220110120
412000123103020
5201244300422
613555543240
72332400664
oct600332310
9230556416
10100775112
1151980919
12298bab20
1317b55559
14d5538a4
158ca945c
hex601b4c8

100775112 has 16 divisors (see below), whose sum is σ = 251937840. Its totient is φ = 33591696.

The previous prime is 100775083. The next prime is 100775119. The reversal of 100775112 is 211577001.

It is a happy number.

It is a super-2 number, since 2×1007751122 = 20311246397225088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 4198963 = 100775112 / (1 + 0 + 0 + 7 + 7 + 5 + 1 + 1 + 2).

It is not an unprimeable number, because it can be changed into a prime (100775119) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2099458 + ... + 2099505.

It is an arithmetic number, because the mean of its divisors is an integer number (15746115).

Almost surely, 2100775112 is an apocalyptic number.

100775112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100775112 is an abundant number, since it is smaller than the sum of its proper divisors (151162728).

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

100775112 is a wasteful number, since it uses less digits than its factorization.

100775112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4198972 (or 4198968 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 24.

The square root of 100775112 is about 10038.6807898249. The cubic root of 100775112 is about 465.3550485255.

The spelling of 100775112 in words is "one hundred million, seven hundred seventy-five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 4198963 8397926 12596889 16795852 25193778 33591704 50387556 100775112