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1312303012200 = 233252729057229
BaseRepresentation
bin10011000110001011010…
…110101101100101101000
311122110021122122020011200
4103012023112231211220
5133000044032342300
62442510315524200
7163545043361535
oct23061326554550
94573248566150
101312303012200
114665a9925374
121923bb759660
1396998c72b0b
1447731521d8c
152420909c200
hex1318b5ad968

1312303012200 has 72 divisors (see below), whose sum is σ = 4407150955350. Its totient is φ = 349947469440.

The previous prime is 1312303012157. The next prime is 1312303012213. The reversal of 1312303012200 is 22103032131.

1312303012200 is a `hidden beast` number, since 1 + 312 + 30 + 301 + 2 + 20 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 589575194244 + 722727817956 = 767838^2 + 850134^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 364526815 + ... + 364530414.

Almost surely, 21312303012200 is an apocalyptic number.

1312303012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1312303012200 is an abundant number, since it is smaller than the sum of its proper divisors (3094847943150).

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

1312303012200 is a wasteful number, since it uses less digits than its factorization.

1312303012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729057251 (or 729057239 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1312303012200 its reverse (22103032131), we get a palindrome (1334406044331).

The spelling of 1312303012200 in words is "one trillion, three hundred twelve billion, three hundred three million, twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 729057229 1458114458 2187171687 2916228916 3645286145 4374343374 5832457832 6561515061 7290572290 8748686748 10935858435 13123030122 14581144580 17497373496 18226430725 21871716870 26246060244 29162289160 32807575305 36452861450 43743433740 52492120488 54679292175 65615150610 72905722900 87486867480 109358584350 131230301220 145811445800 164037876525 218717168700 262460602440 328075753050 437434337400 656151506100 1312303012200