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10204030213 = 13310214549
BaseRepresentation
bin10011000000011010…
…10010010100000101
3222100010200102221221
421200031102110011
5131344212431323
64404311440341
7510602553136
oct114015222405
928303612857
1010204030213
1143669aaa23
121b893860b1
13c68056000
146cb2b3c8d
153eac6155d
hex260352505

10204030213 has 16 divisors (see below), whose sum is σ = 11067238000. Its totient is φ = 9407810880.

The previous prime is 10204030147. The next prime is 10204030223. The reversal of 10204030213 is 31203040201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5401956004 + 4802074209 = 73498^2 + 69297^2 .

It is not a de Polignac number, because 10204030213 - 29 = 10204029701 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10204030223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2240863 + ... + 2245411.

It is an arithmetic number, because the mean of its divisors is an integer number (691702375).

Almost surely, 210204030213 is an apocalyptic number.

10204030213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10204030213 is a deficient number, since it is larger than the sum of its proper divisors (863207787).

10204030213 is an equidigital number, since it uses as much as digits as its factorization.

10204030213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5609 (or 5583 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10204030213 its reverse (31203040201), we get a palindrome (41407070414).

The spelling of 10204030213 in words is "ten billion, two hundred four million, thirty thousand, two hundred thirteen".

Divisors: 1 13 169 1021 2197 4549 13273 59137 172549 768781 2243137 4644529 9994153 60378877 784925401 10204030213