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2212031313 = 321756925409
BaseRepresentation
bin1000001111011000…
…1110101101010001
312201011022211111200
42003312032231101
514012240000223
61003255301413
7105546645612
oct20366165521
95634284450
102212031313
11a356a7958
1251897a869
1329338498b
1416dacdc09
15ce2e6a43
hex83d8eb51

2212031313 has 24 divisors (see below), whose sum is σ = 3389185800. Its totient is φ = 1385447424.

The previous prime is 2212031299. The next prime is 2212031323. The reversal of 2212031313 is 3131302122.

2212031313 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 27123264 + 2184908049 = 5208^2 + 46743^2 .

It is not a de Polignac number, because 2212031313 - 212 = 2212027217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2212031323) 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, 74353 + ... + 99761.

It is an arithmetic number, because the mean of its divisors is an integer number (141216075).

Almost surely, 22212031313 is an apocalyptic number.

It is an amenable number.

2212031313 is a deficient number, since it is larger than the sum of its proper divisors (1177154487).

2212031313 is a wasteful number, since it uses less digits than its factorization.

2212031313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26001 (or 25998 counting only the distinct ones).

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

The square root of 2212031313 is about 47032.2369550928. The cubic root of 2212031313 is about 1302.9580202310.

Adding to 2212031313 its reverse (3131302122), we get a palindrome (5343333435).

The spelling of 2212031313 in words is "two billion, two hundred twelve million, thirty-one thousand, three hundred thirteen".

Divisors: 1 3 9 17 51 153 569 1707 5121 9673 25409 29019 76227 87057 228681 431953 1295859 3887577 14457721 43373163 130119489 245781257 737343771 2212031313