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12319316200 = 2352197312673
BaseRepresentation
bin10110111100100100…
…11101100011101000
31011210112222002211101
423132102131203220
5200212221104300
65354233411144
7614166313522
oct133622354350
934715862741
1012319316200
115251a29664
122479869ab4
131214366719
1484c1bca12
154c17e7b6a
hex2de49d8e8

12319316200 has 48 divisors (see below), whose sum is σ = 28787895180. Its totient is φ = 4902696960.

The previous prime is 12319316117. The next prime is 12319316209. The reversal of 12319316200 is 261391321.

It can be written as a sum of positive squares in 6 ways, for example, as 6923238436 + 5396077764 = 83206^2 + 73458^2 .

It is not an unprimeable number, because it can be changed into a prime (12319316209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116937 + ... + 195736.

Almost surely, 212319316200 is an apocalyptic number.

12319316200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12319316200 is an abundant number, since it is smaller than the sum of its proper divisors (16468578980).

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

12319316200 is a wasteful number, since it uses less digits than its factorization.

12319316200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312886 (or 312877 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The spelling of 12319316200 in words is "twelve billion, three hundred nineteen million, three hundred sixteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 197 200 394 788 985 1576 1970 3940 4925 7880 9850 19700 39400 312673 625346 1250692 1563365 2501384 3126730 6253460 7816825 12506920 15633650 31267300 61596581 62534600 123193162 246386324 307982905 492772648 615965810 1231931620 1539914525 2463863240 3079829050 6159658100 12319316200