Search a number
-
+
313033241034 = 235644101319
BaseRepresentation
bin1001000111000100011…
…11000011000111001010
31002220222211021021100000
410203202033003013022
520112043002203114
6355445552423430
731421153434533
oct4434217030712
91086884237300
10313033241034
11110836116188
1250802247b76
132369906b857
141121808168a
1582219c9e09
hex48e23c31ca

313033241034 has 24 divisors (see below), whose sum is σ = 703358641440. Its totient is φ = 104344413516.

The previous prime is 313033241021. The next prime is 313033241047. The reversal of 313033241034 is 430142330313.

313033241034 is a `hidden beast` number, since 3 + 1 + 303 + 324 + 1 + 0 + 34 = 666.

It is an interprime number because it is at equal distance from previous prime (313033241021) and next prime (313033241047).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 313033240989 and 313033241007.

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, 322050174 + ... + 322051145.

It is an arithmetic number, because the mean of its divisors is an integer number (29306610060).

Almost surely, 2313033241034 is an apocalyptic number.

313033241034 is an abundant number, since it is smaller than the sum of its proper divisors (390325400406).

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

313033241034 is an equidigital number, since it uses as much as digits as its factorization.

313033241034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644101336 (or 644101324 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 313033241034 its reverse (430142330313), we get a palindrome (743175571347).

The spelling of 313033241034 in words is "three hundred thirteen billion, thirty-three million, two hundred forty-one thousand, thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 644101319 1288202638 1932303957 3864607914 5796911871 11593823742 17390735613 34781471226 52172206839 104344413678 156516620517 313033241034