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10033012314 = 2321342876121
BaseRepresentation
bin10010101100000001…
…11001111001011010
3221220012212211111200
421112000321321122
5131021422343224
64335322135030
7503425124523
oct112600717132
927805784450
1010033012314
114289412716
121b40051476
13c3b7a85a0
146b26b784a
153dac2e5c9
hex256039e5a

10033012314 has 24 divisors (see below), whose sum is σ = 23410362612. Its totient is φ = 3087080640.

The previous prime is 10033012313. The next prime is 10033012333. The reversal of 10033012314 is 41321033001.

10033012314 is a `hidden beast` number, since 10 + 0 + 330 + 12 + 314 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9218880225 + 814132089 = 96015^2 + 28533^2 .

It is a super-2 number, since 2×100330123142 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10033012313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21437827 + ... + 21438294.

Almost surely, 210033012314 is an apocalyptic number.

10033012314 is an abundant number, since it is smaller than the sum of its proper divisors (13377350298).

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

10033012314 is a wasteful number, since it uses less digits than its factorization.

10033012314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42876142 (or 42876139 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10033012314 its reverse (41321033001), we get a palindrome (51354045315).

The spelling of 10033012314 in words is "ten billion, thirty-three million, twelve thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 42876121 85752242 128628363 257256726 385885089 557389573 771770178 1114779146 1672168719 3344337438 5016506157 10033012314