Search a number
-
+
12114233313 = 3713192122921
BaseRepresentation
bin10110100100001000…
…01000011111100001
31011021021001210222220
423102010020133201
5144302220431223
65322030021253
7606126166320
oct132204103741
934237053886
1012114233313
115157194876
122421047829
1311b0a1c9c0
1482cc760b7
154ad7d76e3
hex2d21087e1

12114233313 has 48 divisors (see below), whose sum is σ = 20981310336. Its totient is φ = 6053564160.

The previous prime is 12114233297. The next prime is 12114233317. The reversal of 12114233313 is 31333241121.

It is not a de Polignac number, because 12114233313 - 24 = 12114233297 is a prime.

It is a super-3 number, since 3×121142333133 (a number of 31 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12114233317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37093 + ... + 160013.

It is an arithmetic number, because the mean of its divisors is an integer number (437110632).

Almost surely, 212114233313 is an apocalyptic number.

12114233313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12114233313 is a deficient number, since it is larger than the sum of its proper divisors (8867077023).

12114233313 is a wasteful number, since it uses less digits than its factorization.

12114233313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122982 (or 122963 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

Adding to 12114233313 its reverse (31333241121), we get a palindrome (43447474434).

The spelling of 12114233313 in words is "twelve billion, one hundred fourteen million, two hundred thirty-three thousand, three hundred thirteen".

Divisors: 1 3 7 13 19 21 39 57 91 133 247 273 361 399 741 1083 1729 2527 4693 5187 7581 14079 32851 98553 122921 368763 860447 1597973 2335499 2581341 4793919 7006497 11185811 16348493 30361487 33557433 44374481 49045479 91084461 133123443 212530409 310621367 576868253 637591227 931864101 1730604759 4038077771 12114233313