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12315345340 = 2254375718917
BaseRepresentation
bin10110111100000110…
…10100000110111100
31011210021111100211111
423132003110012330
5200210212022330
65354012331404
7614120464624
oct133603240674
934707440744
1012315345340
11524a767261
122478473b64
1312135a61bc
1484b867884
154c12b132a
hex2de0d41bc

12315345340 has 48 divisors (see below), whose sum is σ = 26500031712. Its totient is φ = 4804966656.

The previous prime is 12315345323. The next prime is 12315345359. The reversal of 12315345340 is 4354351321.

12315345340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 641562 + ... + 660478.

It is an arithmetic number, because the mean of its divisors is an integer number (552083994).

Almost surely, 212315345340 is an apocalyptic number.

12315345340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12315345340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13250015856).

12315345340 is an abundant number, since it is smaller than the sum of its proper divisors (14184686372).

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

12315345340 is a wasteful number, since it uses less digits than its factorization.

12315345340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19726 (or 19724 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

Adding to 12315345340 its reverse (4354351321), we get a palindrome (16669696661).

The spelling of 12315345340 in words is "twelve billion, three hundred fifteen million, three hundred forty-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 757 860 1514 3028 3785 7570 15140 18917 32551 37834 65102 75668 94585 130204 162755 189170 325510 378340 651020 813431 1626862 3253724 4067155 8134310 14320169 16268620 28640338 57280676 71600845 143201690 286403380 615767267 1231534534 2463069068 3078836335 6157672670 12315345340