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900103012 = 221741322849
BaseRepresentation
bin110101101001100…
…111101101100100
32022201200222012121
4311221213231210
53320411244022
6225152155324
731206515014
oct6551475544
92281628177
10900103012
114220a2796
12211538b44
13114631543
1487785c44
155404c2c7
hex35a67b64

900103012 has 24 divisors (see below), whose sum is σ = 1708522200. Its totient is φ = 413245440.

The previous prime is 900103003. The next prime is 900103019. The reversal of 900103012 is 210301009.

It can be written as a sum of positive squares in 4 ways, for example, as 307862116 + 592240896 = 17546^2 + 24336^2 .

It is a super-2 number, since 2×9001030122 = 1620370864422944288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (900103019) 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 7 ways as a sum of consecutive naturals, for example, 158637 + ... + 164212.

It is an arithmetic number, because the mean of its divisors is an integer number (71188425).

Almost surely, 2900103012 is an apocalyptic number.

It is an amenable number.

900103012 is a deficient number, since it is larger than the sum of its proper divisors (808419188).

900103012 is a wasteful number, since it uses less digits than its factorization.

900103012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322911 (or 322909 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 900103012 is about 30001.7168175423. The cubic root of 900103012 is about 965.5262191235.

The spelling of 900103012 in words is "nine hundred million, one hundred three thousand, twelve".

Divisors: 1 2 4 17 34 41 68 82 164 697 1394 2788 322849 645698 1291396 5488433 10976866 13236809 21953732 26473618 52947236 225025753 450051506 900103012