Search a number
-
+
12313342012240 = 2453133115000173
BaseRepresentation
bin1011001100101110110001…
…1000000110101101010000
31121121010212222100120121001
42303023230120012231100
53103220211023342430
642104400552511344
72410416044120623
oct263135430065520
947533788316531
1012313342012240
113a180716153a5
12146a4a93ab554
136b41b270a699
14307d7ca77dba
15165471a8d3ca
hexb32ec606b50

12313342012240 has 80 divisors (see below), whose sum is σ = 29641303835136. Its totient is φ = 4752054489600.

The previous prime is 12313342012219. The next prime is 12313342012261. The reversal of 12313342012240 is 4221024331321.

It is an interprime number because it is at equal distance from previous prime (12313342012219) and next prime (12313342012261).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×123133420122402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12313342012199 and 12313342012208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6679207 + ... + 8320966.

Almost surely, 212313342012240 is an apocalyptic number.

12313342012240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12313342012240 is an abundant number, since it is smaller than the sum of its proper divisors (17327961822896).

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

12313342012240 is a wasteful number, since it uses less digits than its factorization.

12313342012240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15000548 (or 15000542 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 12313342012240 its reverse (4221024331321), we get a palindrome (16534366343561).

The spelling of 12313342012240 in words is "twelve trillion, three hundred thirteen billion, three hundred forty-two million, twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 331 496 620 662 1240 1324 1655 2480 2648 3310 5296 6620 10261 13240 20522 26480 41044 51305 82088 102610 164176 205220 410440 820880 15000173 30000346 60000692 75000865 120001384 150001730 240002768 300003460 465005363 600006920 930010726 1200013840 1860021452 2325026815 3720042904 4650053630 4965057263 7440085808 9300107260 9930114526 18600214520 19860229052 24825286315 37200429040 39720458104 49650572630 79440916208 99301145260 153916775153 198602290520 307833550306 397204581040 615667100612 769583875765 1231334201224 1539167751530 2462668402448 3078335503060 6156671006120 12313342012240