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11314401322120 = 2351386092527409
BaseRepresentation
bin1010010010100101011011…
…0111110010010010001000
31111001122110002012200002021
42210221112313302102020
52440333343214301440
640021433023014224
72245303261263601
oct244512667622210
944048402180067
1011314401322120
113672457642716
12132898213a374
13640c35a46b30
142b18971bada8
151494a832184a
hexa4a56df2488

11314401322120 has 64 divisors (see below), whose sum is σ = 27418860126000. Its totient is φ = 4177138188288.

The previous prime is 11314401322093. The next prime is 11314401322241. The reversal of 11314401322120 is 2122310441311.

It can be written as a sum of positive squares in 8 ways, for example, as 3170443769476 + 8143957552644 = 1780574^2 + 2853762^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3212976 + ... + 5740384.

Almost surely, 211314401322120 is an apocalyptic number.

11314401322120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11314401322120 is an abundant number, since it is smaller than the sum of its proper divisors (16104458803880).

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

11314401322120 is a wasteful number, since it uses less digits than its factorization.

11314401322120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2536042 (or 2536038 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 11314401322120 its reverse (2122310441311), we get a palindrome (13436711763431).

The spelling of 11314401322120 in words is "eleven trillion, three hundred fourteen billion, four hundred one million, three hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 8609 17218 34436 43045 68872 86090 111917 172180 223834 344360 447668 559585 895336 1119170 2238340 2527409 4476680 5054818 10109636 12637045 20219272 25274090 32856317 50548180 65712634 101096360 131425268 164281585 262850536 328563170 657126340 1314252680 21758464081 43516928162 87033856324 108792320405 174067712648 217584640810 282860033053 435169281620 565720066106 870338563240 1131440132212 1414300165265 2262880264424 2828600330530 5657200661060 11314401322120