Search a number
-
+
311211314244 = 22332881586243
BaseRepresentation
bin1001000011101011010…
…00111100110001000100
31002202021211222210122000
410201311220330301010
520044330044023434
6354545110305300
731325051344605
oct4416550746104
91082254883560
10311211314244
1110aa90745666
1250394058230
132346877236c
14110c40dbdac
158166a8eb99
hex4875a3cc44

311211314244 has 24 divisors (see below), whose sum is σ = 806844148320. Its totient is φ = 103737104712.

The previous prime is 311211314213. The next prime is 311211314257. The reversal of 311211314244 is 442413112113.

It is a happy number.

311211314244 is a `hidden beast` number, since 311 + 2 + 11 + 314 + 24 + 4 = 666.

It is a super-2 number, since 2×3112113142442 (a number of 24 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

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 7 ways as a sum of consecutive naturals, for example, 1440793014 + ... + 1440793229.

It is an arithmetic number, because the mean of its divisors is an integer number (33618506180).

Almost surely, 2311211314244 is an apocalyptic number.

It is an amenable number.

311211314244 is an abundant number, since it is smaller than the sum of its proper divisors (495632834076).

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

311211314244 is a wasteful number, since it uses less digits than its factorization.

311211314244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2881586256 (or 2881586248 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 311211314244 its reverse (442413112113), we get a palindrome (753624426357).

The spelling of 311211314244 in words is "three hundred eleven billion, two hundred eleven million, three hundred fourteen thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 2881586243 5763172486 8644758729 11526344972 17289517458 25934276187 34579034916 51868552374 77802828561 103737104748 155605657122 311211314244