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70310102016 = 21037111312269
BaseRepresentation
bin100000101111011001…
…1110000010000000000
320201111000212020212110
41001132303300100000
52122443341231031
652144445255320
75036231002110
oct1013663602000
9221430766773
1070310102016
1127900246330
1211762864540
13682677157b
14358dc99040
151c67967c46
hex105ecf0400

70310102016 has 352 divisors, whose sum is σ = 235531422720. Its totient is φ = 18114969600.

The previous prime is 70310101957. The next prime is 70310102021. The reversal of 70310102016 is 61020101307.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-3 number, since 3×703101020163 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 70310101983 and 70310102001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30986130 + ... + 30988398.

It is an arithmetic number, because the mean of its divisors is an integer number (669123360).

Almost surely, 270310102016 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 70310102016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117765711360).

70310102016 is an abundant number, since it is smaller than the sum of its proper divisors (165221320704).

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

70310102016 is a wasteful number, since it uses less digits than its factorization.

70310102016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2441 (or 2423 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The spelling of 70310102016 in words is "seventy billion, three hundred ten million, one hundred two thousand, sixteen".