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311111332112 = 2477952167489
BaseRepresentation
bin1001000011011111010…
…11100011000100010000
31002202000212212011221002
410201233223203010100
520044124000111422
6354531135321132
731322425455530
oct4415753430420
91082025764832
10311111332112
1110aa3a2665a9
12503666801a8
1323450b36a39
14110b4b134c0
15815cde0692
hex486fae3110

311111332112 has 80 divisors (see below), whose sum is σ = 698958835200. Its totient is φ = 131391037440.

The previous prime is 311111332087. The next prime is 311111332117. The reversal of 311111332112 is 211233111113.

It is not an unprimeable number, because it can be changed into a prime (311111332117) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4576064 + ... + 4643552.

It is an arithmetic number, because the mean of its divisors is an integer number (8736985440).

Almost surely, 2311111332112 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 311111332112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349479417600).

311111332112 is an abundant number, since it is smaller than the sum of its proper divisors (387847503088).

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

311111332112 is a wasteful number, since it uses less digits than its factorization.

311111332112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68104 (or 68098 counting only the distinct ones).

The product of its digits is 108, while the sum is 20.

Adding to 311111332112 its reverse (211233111113), we get a palindrome (522344443225).

The spelling of 311111332112 in words is "three hundred eleven billion, one hundred eleven million, three hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 56 79 112 158 316 521 553 632 1042 1106 1264 2084 2212 3647 4168 4424 7294 8336 8848 14588 29176 41159 58352 67489 82318 134978 164636 269956 288113 329272 472423 539912 576226 658544 944846 1079824 1152452 1889692 2304904 3779384 4609808 5331631 7558768 10663262 21326524 35161769 37321417 42653048 70323538 74642834 85306096 140647076 149285668 246132383 281294152 298571336 492264766 562588304 597142672 984529532 1969059064 2777779751 3938118128 5555559502 11111119004 19444458257 22222238008 38888916514 44444476016 77777833028 155555666056 311111332112