Search a number
-
+
1323322111332 = 2232132827611349
BaseRepresentation
bin10011010000011100001…
…001001111010101100100
311200111201121000110111100
4103100130021033111210
5133140130430030312
62451531545240100
7164415104232144
oct23203411172544
94614647013440
101323322111332
11470243918671
12194575a93030
1397a33b26810
1448098b64924
15246516605dc
hex1341c24f564

1323322111332 has 36 divisors (see below), whose sum is σ = 3602376859900. Its totient is φ = 407176034112.

The previous prime is 1323322111327. The next prime is 1323322111343. The reversal of 1323322111332 is 2331112233231.

1323322111332 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 322 + 1 + 1 + 1 + 332 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 601083887616 + 722238223716 = 775296^2 + 849846^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1323322111296 and 1323322111305.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1413805207 + ... + 1413806142.

Almost surely, 21323322111332 is an apocalyptic number.

1323322111332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1323322111332 is an abundant number, since it is smaller than the sum of its proper divisors (2279054748568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1323322111332 is a wasteful number, since it uses less digits than its factorization.

1323322111332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2827611372 (or 2827611367 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 1323322111332 its reverse (2331112233231), we get a palindrome (3654434344563).

The spelling of 1323322111332 in words is "one trillion, three hundred twenty-three billion, three hundred twenty-two million, one hundred eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 2827611349 5655222698 8482834047 11310445396 16965668094 25448502141 33931336188 36758947537 50897004282 73517895074 101794008564 110276842611 147035790148 220553685222 330830527833 441107370444 661661055666 1323322111332