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13222022022231 = 3115310174849119
BaseRepresentation
bin1100000001100111110111…
…1011010000010001010111
31201211000100110002212001220
43000121331323100101113
53213112200114202411
644042040231021423
72533155013555011
oct300317573202127
951730313085056
1013222022022231
114238478809170
12159662450a873
1374baa656a279
14339d40b7b1b1
1517de06139b06
hexc067ded0457

13222022022231 has 32 divisors (see below), whose sum is σ = 19788909742080. Its totient is φ = 7784308272000.

The previous prime is 13222022022227. The next prime is 13222022022247.

13222022022231 is nontrivially palindromic in base 10.

13222022022231 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 13222022022231 - 22 = 13222022022227 is a prime.

It is a super-2 number, since 2×132220220222312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13222022027231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37247911 + ... + 37601208.

It is an arithmetic number, because the mean of its divisors is an integer number (618403429440).

Almost surely, 213222022022231 is an apocalyptic number.

13222022022231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13222022022231 is a deficient number, since it is larger than the sum of its proper divisors (6566887719849).

13222022022231 is a wasteful number, since it uses less digits than its factorization.

13222022022231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74849287.

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 1322202 and 2022231, that added together give a palindrome (3344433).

The spelling of 13222022022231 in words is "thirteen trillion, two hundred twenty-two billion, twenty-two million, twenty-two thousand, two hundred thirty-one".

Divisors: 1 3 11 33 53 101 159 303 583 1111 1749 3333 5353 16059 58883 176649 74849119 224547357 823340309 2470020927 3967003307 7559761019 11901009921 22679283057 43637036377 83157371209 130911109131 249472113627 400667334007 1202002002021 4407340674077 13222022022231