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310067996112 = 2437721391301
BaseRepresentation
bin1001000001100010111…
…11100010010111010000
31002122100011122020000000
410200301133202113100
520040004401333422
6354235425130000
731254526323600
oct4406137422720
91078304566000
10310067996112
1110a554333846
1250115189900
1323315935764
1411016324c00
1580eb4edcac
hex48317e25d0

310067996112 has 480 divisors, whose sum is σ = 1056451132800. Its totient is φ = 87885907200.

The previous prime is 310067996111. The next prime is 310067996149. The reversal of 310067996112 is 211699760013.

It is a super-2 number, since 2×3100679961122 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310067996111) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 238329862 + ... + 238331162.

It is an arithmetic number, because the mean of its divisors is an integer number (2200939860).

Almost surely, 2310067996112 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 310067996112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528225566400).

310067996112 is an abundant number, since it is smaller than the sum of its proper divisors (746383136688).

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

310067996112 is a wasteful number, since it uses less digits than its factorization.

310067996112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 310067996112 in words is "three hundred ten billion, sixty-seven million, nine hundred ninety-six thousand, one hundred twelve".