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2211431313 = 37138100481
BaseRepresentation
bin1000001111001111…
…1100001110010001
312201010012100110110
42003303330032101
514012111300223
61003234351533
7105541566420
oct20363741621
95633170413
102211431313
11a35328093
1251872b5a9
13293204850
1416d9b52b7
15ce228d93
hex83cfc391

2211431313 has 16 divisors (see below), whose sum is σ = 3629015936. Its totient is φ = 1166469120.

The previous prime is 2211431297. The next prime is 2211431323. The reversal of 2211431313 is 3131341122.

2211431313 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 2211431313 - 24 = 2211431297 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 2211431313.

It is not an unprimeable number, because it can be changed into a prime (2211431323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4049968 + ... + 4050513.

It is an arithmetic number, because the mean of its divisors is an integer number (226813496).

Almost surely, 22211431313 is an apocalyptic number.

It is an amenable number.

2211431313 is a deficient number, since it is larger than the sum of its proper divisors (1417584623).

2211431313 is a wasteful number, since it uses less digits than its factorization.

2211431313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8100504.

The product of its digits is 432, while the sum is 21.

The square root of 2211431313 is about 47025.8579188089. The cubic root of 2211431313 is about 1302.8402031064.

Adding to 2211431313 its reverse (3131341122), we get a palindrome (5342772435).

The spelling of 2211431313 in words is "two billion, two hundred eleven million, four hundred thirty-one thousand, three hundred thirteen".

Divisors: 1 3 7 13 21 39 91 273 8100481 24301443 56703367 105306253 170110101 315918759 737143771 2211431313