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310045434012 = 223269112463637
BaseRepresentation
bin1001000001100000010…
…01011110000010011100
31002122021121011221121200
410200300021132002130
520034433112342022
6354233301355500
731254133464066
oct4406011360234
91078247157550
10310045434012
1110a542623586
1250109708b90
13233110660c2
1411013330736
1580e9543bac
hex483025e09c

310045434012 has 36 divisors (see below), whose sum is σ = 784860212136. Its totient is φ = 103198906080.

The previous prime is 310045433953. The next prime is 310045434043. The reversal of 310045434012 is 210434540013.

It is a happy number.

310045434012 is a `hidden beast` number, since 3 + 100 + 4 + 543 + 4 + 0 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×3100454340123 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6206943 + ... + 6256694.

Almost surely, 2310045434012 is an apocalyptic number.

It is an amenable number.

310045434012 is an abundant number, since it is smaller than the sum of its proper divisors (474814778124).

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

310045434012 is a wasteful number, since it uses less digits than its factorization.

310045434012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12464338 (or 12464333 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 310045434012 its reverse (210434540013), we get a palindrome (520479974025).

The spelling of 310045434012 in words is "three hundred ten billion, forty-five million, four hundred thirty-four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 691 1382 2073 2764 4146 6219 8292 12438 24876 12463637 24927274 37390911 49854548 74781822 112172733 149563644 224345466 448690932 8612373167 17224746334 25837119501 34449492668 51674239002 77511358503 103348478004 155022717006 310045434012