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12331313340 = 2235415012729
BaseRepresentation
bin10110111110000000…
…01110100010111100
31011211101112121210220
423133000032202330
5200223304011330
65355342501340
7614403301563
oct133700164274
934741477726
1012331313340
115258783255
122481894850
1312169a7318
1484da22bda
154c28b7710
hex2df00e8bc

12331313340 has 48 divisors (see below), whose sum is σ = 35369822880. Its totient is φ = 3208145920.

The previous prime is 12331313321. The next prime is 12331313359. The reversal of 12331313340 is 4331313321.

It is a happy number.

12331313340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12331313321) and next prime (12331313359).

It is a super-2 number, since 2×123313133402 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12331313340.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2503905 + ... + 2508824.

It is an arithmetic number, because the mean of its divisors is an integer number (736871310).

Almost surely, 212331313340 is an apocalyptic number.

12331313340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12331313340 is an abundant number, since it is smaller than the sum of its proper divisors (23038509540).

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

12331313340 is a wasteful number, since it uses less digits than its factorization.

12331313340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5012782 (or 5012780 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 12331313340 its reverse (4331313321), we get a palindrome (16662626661).

The spelling of 12331313340 in words is "twelve billion, three hundred thirty-one million, three hundred thirteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1230 2460 5012729 10025458 15038187 20050916 25063645 30076374 50127290 60152748 75190935 100254580 150381870 205521889 300763740 411043778 616565667 822087556 1027609445 1233131334 2055218890 2466262668 3082828335 4110437780 6165656670 12331313340