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10010300213 = 17264154037
BaseRepresentation
bin10010101001010100…
…10000111100110101
3221211122010221100202
421110222100330311
5131000114101323
64333151250245
7503031101504
oct112452207465
927748127322
1010010300213
11427760a791
121b34519985
13c36b85884
146ad68483b
153d8c44d28
hex254a90f35

10010300213 has 12 divisors (see below), whose sum is σ = 10650565572. Its totient is φ = 9406586880.

The previous prime is 10010300177. The next prime is 10010300221. The reversal of 10010300213 is 31200301001.

It can be written as a sum of positive squares in 6 ways, for example, as 5252335729 + 4757964484 = 72473^2 + 68978^2 .

It is not a de Polignac number, because 10010300213 - 224 = 9993522997 is a prime.

It is a super-2 number, since 2×100103002132 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10010300194 and 10010300203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010300813) 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, 158231 + ... + 212267.

It is an arithmetic number, because the mean of its divisors is an integer number (887547131).

Almost surely, 210010300213 is an apocalyptic number.

It is an amenable number.

10010300213 is a deficient number, since it is larger than the sum of its proper divisors (640265359).

10010300213 is an equidigital number, since it uses as much as digits as its factorization.

10010300213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54712 (or 54695 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 10010300213 its reverse (31200301001), we get a palindrome (41210601214).

The spelling of 10010300213 in words is "ten billion, ten million, three hundred thousand, two hundred thirteen".

Divisors: 1 17 289 641 10897 54037 185249 918629 15616693 34637717 588841189 10010300213