Search a number
-
+
20131021312213 = 722945613106073
BaseRepresentation
bin1001001001111000111100…
…10111111101000011010101
32122021111200111011210020211
410210330132113331003111
510114311312423442323
6110452021415325421
74145263321552600
oct444743627750325
978244614153224
1020131021312213
116461577797149
12231163a380871
13b30468948206
144d84bd221337
1524d9c26da70d
hex124f1e5fd0d5

20131021312213 has 24 divisors (see below), whose sum is σ = 24230545395480. Its totient is φ = 16656497464320.

The previous prime is 20131021312141. The next prime is 20131021312217. The reversal of 20131021312213 is 31221312013102.

It can be written as a sum of positive squares in 4 ways, for example, as 2809384958884 + 17321636353329 = 1676122^2 + 4161927^2 .

It is not a de Polignac number, because 20131021312213 - 221 = 20131019215061 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20131021312217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4928145 + ... + 8034217.

It is an arithmetic number, because the mean of its divisors is an integer number (1009606058145).

Almost surely, 220131021312213 is an apocalyptic number.

It is an amenable number.

20131021312213 is a deficient number, since it is larger than the sum of its proper divisors (4099524083267).

20131021312213 is a wasteful number, since it uses less digits than its factorization.

20131021312213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3110677 (or 3110670 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 20131021312213 its reverse (31221312013102), we get a palindrome (51352333325315).

The spelling of 20131021312213 in words is "twenty trillion, one hundred thirty-one billion, twenty-one million, three hundred twelve thousand, two hundred thirteen".

Divisors: 1 7 29 49 203 1421 4561 31927 132269 223489 925883 3106073 6481181 21742511 90076117 152197577 630532819 4413729733 14166798953 99167592671 410837169637 694173148697 2875860187459 20131021312213