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313201210112 = 287292207821
BaseRepresentation
bin1001000111011000011…
…11110011001100000000
31002221102112022222120222
410203230033303030000
520112414002210422
6355514352522212
731425263234360
oct4435417631400
91087375288528
10313201210112
11110911a108aa
125084a550368
13236c4abc63b
14112324c69a0
158231608842
hex48ec3f3300

313201210112 has 108 divisors (see below), whose sum is σ = 739980988656. Its totient is φ = 129599877120.

The previous prime is 313201210103. The next prime is 313201210129. The reversal of 313201210112 is 211012102313.

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 11 ways as a sum of consecutive naturals, for example, 1403162 + ... + 1610982.

Almost surely, 2313201210112 is an apocalyptic number.

313201210112 is a gapful number since it is divisible by the number (32) 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 313201210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369990494328).

313201210112 is an abundant number, since it is smaller than the sum of its proper divisors (426779778544).

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

313201210112 is an equidigital number, since it uses as much as digits as its factorization.

313201210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207902 (or 207859 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 313201210112 its reverse (211012102313), we get a palindrome (524213312425).

The spelling of 313201210112 in words is "three hundred thirteen billion, two hundred one million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 203 224 232 256 406 448 464 812 841 896 928 1624 1682 1792 1856 3248 3364 3712 5887 6496 6728 7424 11774 12992 13456 23548 25984 26912 47096 51968 53824 94192 107648 188384 207821 215296 376768 415642 753536 831284 1454747 1507072 1662568 2909494 3325136 5818988 6026809 6650272 11637976 12053618 13300544 23275952 24107236 26601088 42187663 46551904 48214472 53202176 84375326 93103808 96428944 168750652 174777461 186207616 192857888 337501304 349554922 372415232 385715776 675002608 699109844 771431552 1223442227 1350005216 1398219688 1542863104 2446884454 2700010432 2796439376 4893768908 5400020864 5592878752 9787537816 10800041728 11185757504 19575075632 22371515008 39150151264 44743030016 78300302528 156600605056 313201210112