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100122012 = 22326194493
BaseRepresentation
bin1011111011110…
…11110110011100
320222101201120200
411331323312130
5201112401022
613533543500
72324010624
oct575736634
9228351520
10100122012
1151575171
1229644b90
13179871c3
14d423884
158bcabac
hex5f7bd9c

100122012 has 36 divisors (see below), whose sum is σ = 253551480. Its totient is φ = 33312672.

The previous prime is 100121981. The next prime is 100122023. The reversal of 100122012 is 210221001.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100121985 and 100122003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20038 + ... + 24530.

Almost surely, 2100122012 is an apocalyptic number.

100122012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100122012 is an abundant number, since it is smaller than the sum of its proper divisors (153429468).

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

100122012 is a wasteful number, since it uses less digits than its factorization.

100122012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5122 (or 5117 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 100122012 is about 10006.0987402684. The cubic root of 100122012 is about 464.3475831489.

Adding to 100122012 its reverse (210221001), we get a palindrome (310343013).

The spelling of 100122012 in words is "one hundred million, one hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 619 1238 1857 2476 3714 4493 5571 7428 8986 11142 13479 17972 22284 26958 40437 53916 80874 161748 2781167 5562334 8343501 11124668 16687002 25030503 33374004 50061006 100122012