Search a number
-
+
311112404211114 = 232113794145843717
BaseRepresentation
bin100011010111101001000000…
…0010101101001010110101010
31111210120001111100221211011200
41012233102000111221112222
5311234231200434223424
63021403022044105030
7122350062254666622
oct10657220025512652
91453501440854150
10311112404211114
1190148036547980
122aa87802835176
1310479a0a15739c
1456b7cc65c9882
1525e7b332198c9
hex11af4805695aa

311112404211114 has 48 divisors (see below), whose sum is σ = 737296846809120. Its totient is φ = 94027735478880.

The previous prime is 311112404211107. The next prime is 311112404211157. The reversal of 311112404211114 is 411112404211113.

311112404211114 is a `hidden beast` number, since 3 + 1 + 1 + 1 + 124 + 0 + 421 + 1 + 114 = 666.

It is a super-2 number, since 2×3111124042111142 (a number of 30 digits) contains 22 as substring.

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, 2072846817 + ... + 2072996900.

It is an arithmetic number, because the mean of its divisors is an integer number (15360350975190).

Almost surely, 2311112404211114 is an apocalyptic number.

311112404211114 is an abundant number, since it is smaller than the sum of its proper divisors (426184442598006).

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

311112404211114 is a wasteful number, since it uses less digits than its factorization.

311112404211114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4145844115 (or 4145844112 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

Adding to 311112404211114 its reverse (411112404211113), we get a palindrome (722224808422227).

Subtracting 311112404211114 from its reverse (411112404211113), we obtain a palindrome (99999999999999).

The spelling of 311112404211114 in words is "three hundred eleven trillion, one hundred twelve billion, four hundred four million, two hundred eleven thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 379 758 1137 2274 3411 4169 6822 8338 12507 25014 37521 75042 4145843717 8291687434 12437531151 24875062302 37312593453 45604280887 74625186906 91208561774 136812842661 273625685322 410438527983 820877055966 1571274768743 3142549537486 4713824306229 9427648612458 14141472918687 17284022456173 28282945837374 34568044912346 51852067368519 103704134737038 155556202105557 311112404211114