Search a number
-
+
1013322020221 = 72100920495581
BaseRepresentation
bin11101011111011101011…
…00101111010101111101
310120212120011011011122101
432233232230233111331
5113100240414121341
62053302543345101
7133132031025100
oct16575654572575
93525504134571
101013322020221
11360824954965
1214447b5b2191
137472c2a8144
143708b878737
151b55b0c6831
hexebeeb2f57d

1013322020221 has 12 divisors (see below), whose sum is σ = 1179930655740. Its totient is φ = 867700874880.

The previous prime is 1013322020177. The next prime is 1013322020231. The reversal of 1013322020221 is 1220202233101.

It can be written as a sum of positive squares in 2 ways, for example, as 357406687225 + 655915332996 = 597835^2 + 809886^2 .

It is not a de Polignac number, because 1013322020221 - 27 = 1013322020093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013322020231) 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, 10198350 + ... + 10297231.

It is an arithmetic number, because the mean of its divisors is an integer number (98327554645).

Almost surely, 21013322020221 is an apocalyptic number.

It is an amenable number.

1013322020221 is a deficient number, since it is larger than the sum of its proper divisors (166608635519).

1013322020221 is a wasteful number, since it uses less digits than its factorization.

1013322020221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20496604 (or 20496597 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 1013322020221 its reverse (1220202233101), we get a palindrome (2233524253322).

The spelling of 1013322020221 in words is "one trillion, thirteen billion, three hundred twenty-two million, twenty thousand, two hundred twenty-one".

Divisors: 1 7 49 1009 7063 49441 20495581 143469067 1004283469 20680041229 144760288603 1013322020221