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1323134442231 = 3733144519319
BaseRepresentation
bin10011010000010000111…
…101010101101011110111
311200111020111212212212220
4103100100331111223313
5133134234404122411
62451501203013423
7164410335123000
oct23202075255367
94614214785786
101323134442231
11470157998038
1219452306a273
1397a03c99004
144807bc721a7
152463ee3eb06
hex13410f55af7

1323134442231 has 64 divisors (see below), whose sum is σ = 2124423168000. Its totient is φ = 731444364000.

The previous prime is 1323134442229. The next prime is 1323134442239. The reversal of 1323134442231 is 1322444313231.

It is not a de Polignac number, because 1323134442231 - 21 = 1323134442229 is a prime.

It is a super-2 number, since 2×13231344422312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1323134442192 and 1323134442201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1323134442239) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 141977790 + ... + 141987108.

It is an arithmetic number, because the mean of its divisors is an integer number (33194112000).

Almost surely, 21323134442231 is an apocalyptic number.

1323134442231 is a deficient number, since it is larger than the sum of its proper divisors (801288725769).

1323134442231 is an equidigital number, since it uses as much as digits as its factorization.

1323134442231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13825 (or 13811 counting only the distinct ones).

The product of its digits is 41472, while the sum is 33.

Adding to 1323134442231 its reverse (1322444313231), we get a palindrome (2645578755462).

The spelling of 1323134442231 in words is "one trillion, three hundred twenty-three billion, one hundred thirty-four million, four hundred forty-two thousand, two hundred thirty-one".

Divisors: 1 3 7 21 31 49 93 147 217 343 651 1029 1519 4451 4557 9319 10633 13353 27957 31157 31899 65233 93471 137981 195699 218099 288889 413943 456631 654297 866667 965867 1369893 1526693 2022223 2897601 3196417 4580079 6066669 6761069 9589251 14155561 20283207 41478869 42466683 47327483 99088927 124436607 141982449 290352083 297266781 871056249 1285844939 2032464581 3857534817 6097393743 9000914573 14227252067 27002743719 42681756201 63006402011 189019206033 441044814077 1323134442231