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201313013312 = 2643229319439
BaseRepresentation
bin1011101101111100110…
…0001100111001000000
3201020121211221200011002
42323133030030321000
511244242112411222
6232252032311132
720354503244105
oct2733714147100
9636554850132
10201313013312
1178415a47574
12330233a24a8
1315ca3362428
149a5a62caac
155383885392
hex2edf30ce40

201313013312 has 56 divisors (see below), whose sum is σ = 410557065600. Its totient is φ = 97886025216.

The previous prime is 201313013207. The next prime is 201313013323. The reversal of 201313013312 is 213310313102.

201313013312 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 470489 + ... + 789927.

Almost surely, 2201313013312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201313013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205278532800).

201313013312 is an abundant number, since it is smaller than the sum of its proper divisors (209244052288).

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

201313013312 is a wasteful number, since it uses less digits than its factorization.

201313013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319723 (or 319713 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 201313013312 its reverse (213310313102), we get a palindrome (414623326414).

The spelling of 201313013312 in words is "two hundred one billion, three hundred thirteen million, thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 43 64 86 172 229 344 458 688 916 1376 1832 2752 3664 7328 9847 14656 19694 39388 78776 157552 315104 319439 630208 638878 1277756 2555512 5111024 10222048 13735877 20444096 27471754 54943508 73151531 109887016 146303062 219774032 292606124 439548064 585212248 879096128 1170424496 2340848992 3145515833 4681697984 6291031666 12582063332 25164126664 50328253328 100656506656 201313013312