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213220013331 = 31337147761617
BaseRepresentation
bin1100011010010011100…
…1110011010100010011
3202101100200001221111210
43012210321303110103
511443133310411311
6241541340511203
721255535131633
oct3064471632423
9671320057453
10213220013331
1182476158956
12353a6b4b503
1317150164680
14a469b5c6c3
15582dd853a6
hex31a4e73513

213220013331 has 16 divisors (see below), whose sum is σ = 314436723104. Its totient is φ = 127666036224.

The previous prime is 213220013311. The next prime is 213220013339. The reversal of 213220013331 is 133310022312.

213220013331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213220013331 - 215 = 213219980563 is a prime.

It is a super-2 number, since 2×2132200133312 (a number of 23 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 = 213220013298 and 213220013307.

It is not an unprimeable number, because it can be changed into a prime (213220013339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73879366 + ... + 73882251.

It is an arithmetic number, because the mean of its divisors is an integer number (19652295194).

Almost surely, 2213220013331 is an apocalyptic number.

213220013331 is a deficient number, since it is larger than the sum of its proper divisors (101216709773).

213220013331 is a wasteful number, since it uses less digits than its factorization.

213220013331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147761670.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 213220013331 its reverse (133310022312), we get a palindrome (346530035643).

The spelling of 213220013331 in words is "two hundred thirteen billion, two hundred twenty million, thirteen thousand, three hundred thirty-one".

Divisors: 1 3 13 37 39 111 481 1443 147761617 443284851 1920901021 5467179829 5762703063 16401539487 71073337777 213220013331