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100003212 = 22327273821
BaseRepresentation
bin1011111010111…
…10110110001100
320222011200121200
411331132312030
5201100100322
613531225500
72323004361
oct575366614
9228150550
10100003212
11514a3991
12295a8290
13179450ca
14d3d2468
158ba58ac
hex5f5ed8c

100003212 has 36 divisors (see below), whose sum is σ = 253199856. Its totient is φ = 33279840.

The previous prime is 100003181. The next prime is 100003219. The reversal of 100003212 is 212300001.

It is a happy number.

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 = 100003194 and 100003203.

It is not an unprimeable number, because it can be changed into a prime (100003219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24262 + ... + 28082.

Almost surely, 2100003212 is an apocalyptic number.

100003212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100003212 is an abundant number, since it is smaller than the sum of its proper divisors (153196644).

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

100003212 is a wasteful number, since it uses less digits than its factorization.

100003212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4558 (or 4553 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 100003212 is about 10000.1605987104. The cubic root of 100003212 is about 464.1638529025.

Adding to 100003212 its reverse (212300001), we get a palindrome (312303213).

The spelling of 100003212 in words is "one hundred million, three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 727 1454 2181 2908 3821 4362 6543 7642 8724 11463 13086 15284 22926 26172 34389 45852 68778 137556 2777867 5555734 8333601 11111468 16667202 25000803 33334404 50001606 100003212