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12315134200 = 2352294434793
BaseRepresentation
bin10110111100000101…
…00000100011111000
31011210021002122012111
423132002200203320
5200210133243300
65354004022104
7614115625225
oct133602404370
934707078174
1012315134200
11524a632666
122478391934
131213531075
1484b81094c
154c126d9ba
hex2de0a08f8

12315134200 has 96 divisors (see below), whose sum is σ = 29693077200. Its totient is φ = 4744463360.

The previous prime is 12315134189. The next prime is 12315134233. The reversal of 12315134200 is 243151321.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2567004 + ... + 2571796.

Almost surely, 212315134200 is an apocalyptic number.

12315134200 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 12315134200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14846538600).

12315134200 is an abundant number, since it is smaller than the sum of its proper divisors (17377943000).

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

12315134200 is a wasteful number, since it uses less digits than its factorization.

12315134200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5281 (or 5272 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 12315134200 its reverse (243151321), we get a palindrome (12558285521).

The spelling of 12315134200 in words is "twelve billion, three hundred fifteen million, one hundred thirty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 443 580 725 886 1160 1450 1772 2215 2900 3544 4430 4793 5800 8860 9586 11075 12847 17720 19172 22150 23965 25694 38344 44300 47930 51388 64235 88600 95860 102776 119825 128470 138997 191720 239650 256940 277994 321175 479300 513880 555988 642350 694985 958600 1111976 1284700 1389970 2123299 2569400 2779940 3474925 4246598 5559880 6949850 8493196 10616495 13899700 16986392 21232990 27799400 42465980 53082475 61575671 84931960 106164950 123151342 212329900 246302684 307878355 424659800 492605368 615756710 1231513420 1539391775 2463026840 3078783550 6157567100 12315134200