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311111424324 = 223261354140009
BaseRepresentation
bin1001000011011111010…
…11111001100101000100
31002202000220000212102100
410201233223321211010
520044124011034244
6354531141312100
731322426321421
oct4415753714504
91082026025370
10311111424324
1110aa3a319908
1250366705630
1323450b699bc
14110b4b38d48
15815ce0cb69
hex486faf9944

311111424324 has 72 divisors (see below), whose sum is σ = 799558399640. Its totient is φ = 101972390400.

The previous prime is 311111424319. The next prime is 311111424331. The reversal of 311111424324 is 423424111113.

It is a happy number.

311111424324 is a `hidden beast` number, since 3 + 111 + 114 + 2 + 432 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 53471937600 + 257639486724 = 231240^2 + 507582^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7756032 + ... + 7796040.

Almost surely, 2311111424324 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 311111424324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399779199820).

311111424324 is an abundant number, since it is smaller than the sum of its proper divisors (488446975316).

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

311111424324 is a wasteful number, since it uses less digits than its factorization.

311111424324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43621 (or 43616 counting only the distinct ones).

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

Adding to 311111424324 its reverse (423424111113), we get a palindrome (734535535437).

The spelling of 311111424324 in words is "three hundred eleven billion, one hundred eleven million, four hundred twenty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1098 2196 3541 7082 10623 14164 21246 31869 40009 42492 63738 80018 120027 127476 160036 216001 240054 360081 432002 480108 648003 720162 864004 1296006 1440324 1944009 2440549 2592012 3888018 4881098 7321647 7776036 9762196 14643294 21964941 29286588 43929882 87859764 141671869 283343738 425015607 566687476 850031214 1275046821 1700062428 2550093642 5100187284 8641984009 17283968018 25925952027 34567936036 51851904054 77777856081 103703808108 155555712162 311111424324