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103355112 = 2337287887
BaseRepresentation
bin1100010100100…
…01001011101000
321012110222120010
412022101023220
5202424330422
614131131520
72363334600
oct612211350
9235428503
10103355112
1153383253
122a743ba0
1318549993
14da25c00
159118b0c
hex62912e8

103355112 has 48 divisors (see below), whose sum is σ = 300576960. Its totient is φ = 29529696.

The previous prime is 103355099. The next prime is 103355183. The reversal of 103355112 is 211553301.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42768 + ... + 45119.

It is an arithmetic number, because the mean of its divisors is an integer number (6262020).

Almost surely, 2103355112 is an apocalyptic number.

103355112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103355112 is an abundant number, since it is smaller than the sum of its proper divisors (197221848).

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

103355112 is a wasteful number, since it uses less digits than its factorization.

103355112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87910 (or 87899 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 103355112 is about 10166.3716241341. The cubic root of 103355112 is about 469.2929038399.

The spelling of 103355112 in words is "one hundred three million, three hundred fifty-five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 87887 175774 263661 351548 527322 615209 703096 1054644 1230418 1845627 2109288 2460836 3691254 4306463 4921672 7382508 8612926 12919389 14765016 17225852 25838778 34451704 51677556 103355112