Search a number
-
+
213112323222331 = 13347307071538503
BaseRepresentation
bin110000011101001100010100…
…010100101010101100111011
31000221120100011020002111010111
4300131030110110222230323
5210413113014221103311
62033130241050325151
762613600015610501
oct6035142424525473
91027510136074114
10213112323222331
11619a44796a5505
121ba9a719a297b7
1391bb53785a360
143a8a9975c4671
15199881977ad21
hexc1d31452ab3b

213112323222331 has 16 divisors (see below), whose sum is σ = 230174623413504. Its totient is φ = 196145638494624.

The previous prime is 213112323222311. The next prime is 213112323222347. The reversal of 213112323222331 is 133222323211312.

It is not a de Polignac number, because 213112323222331 - 217 = 213112323091259 is a prime.

It is a super-2 number, since 2×2131123232223312 (a number of 29 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 = 213112323222293 and 213112323222302.

It is not an unprimeable number, because it can be changed into a prime (213112323222311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137750026 + ... + 139288528.

It is an arithmetic number, because the mean of its divisors is an integer number (14385913963344).

Almost surely, 2213112323222331 is an apocalyptic number.

213112323222331 is a deficient number, since it is larger than the sum of its proper divisors (17062300191173).

213112323222331 is a wasteful number, since it uses less digits than its factorization.

213112323222331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569570.

The product of its digits is 15552, while the sum is 31.

Adding to 213112323222331 its reverse (133222323211312), we get a palindrome (346334646433643).

The spelling of 213112323222331 in words is "two hundred thirteen trillion, one hundred twelve billion, three hundred twenty-three million, two hundred twenty-two thousand, three hundred thirty-one".

Divisors: 1 13 347 4511 30707 399191 1538503 10655329 20000539 138519277 533860541 6940187033 47242811621 614156551073 16393255632487 213112323222331