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3022211313 = 3211212892153
BaseRepresentation
bin1011010000100011…
…0100100011110001
321210121211020112100
42310020310203301
522142141230223
61215520251013
7134615241462
oct26410644361
97717736470
103022211313
111310a61100
12704170a69
13392190324
14209548d69
1512a4d0043
hexb42348f1

3022211313 has 36 divisors (see below), whose sum is σ = 4804303140. Its totient is φ = 1829372160.

The previous prime is 3022211303. The next prime is 3022211317. The reversal of 3022211313 is 3131122203.

It can be written as a sum of positive squares in 2 ways, for example, as 1249127649 + 1773083664 = 35343^2 + 42108^2 .

It is not a de Polignac number, because 3022211313 - 212 = 3022207217 is a prime.

It is a super-2 number, since 2×30222113132 = 18267522440850367938, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3022211317) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1402645 + ... + 1404797.

It is an arithmetic number, because the mean of its divisors is an integer number (133452865).

Almost surely, 23022211313 is an apocalyptic number.

3022211313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3022211313 is a deficient number, since it is larger than the sum of its proper divisors (1782091827).

3022211313 is a wasteful number, since it uses less digits than its factorization.

3022211313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3470 (or 3456 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3022211313 is about 54974.6424544990. The cubic root of 3022211313 is about 1445.8001838759.

Adding to 3022211313 its reverse (3131122203), we get a palindrome (6153333516).

The spelling of 3022211313 in words is "three billion, twenty-two million, two hundred eleven thousand, three hundred thirteen".

Divisors: 1 3 9 11 33 99 121 363 1089 1289 2153 3867 6459 11601 14179 19377 23683 42537 71049 127611 155969 213147 260513 467907 781539 1403721 2344617 2775217 8325651 24976953 30527387 91582161 274746483 335801257 1007403771 3022211313