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10202013 = 321517507
BaseRepresentation
bin100110111010…
…101110011101
3201012022112100
4212322232131
510102431023
61002355313
7152500323
oct46725635
921168470
1010202013
115838a18
1234bbb39
1321627c3
1414d7d13
15d67c43
hex9bab9d

10202013 has 12 divisors (see below), whose sum is σ = 14835808. Its totient is φ = 6755400.

The previous prime is 10202009. The next prime is 10202021. The reversal of 10202013 is 31020201.

It is a happy number.

10202013 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10202013 - 22 = 10202009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10201986 and 10202004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202063) 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, 2395 + ... + 5112.

Almost surely, 210202013 is an apocalyptic number.

It is an amenable number.

10202013 is a deficient number, since it is larger than the sum of its proper divisors (4633795).

10202013 is a wasteful number, since it uses less digits than its factorization.

10202013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7664 (or 7661 counting only the distinct ones).

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

The square root of 10202013 is about 3194.0590163615. The cubic root of 10202013 is about 216.8845542497.

Adding to 10202013 its reverse (31020201), we get a palindrome (41222214).

It can be divided in two parts, 1020201 and 3, that multiplied together give a palindrome (3060603).

The spelling of 10202013 in words is "ten million, two hundred two thousand, thirteen".

Divisors: 1 3 9 151 453 1359 7507 22521 67563 1133557 3400671 10202013