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12314112411000 = 233534104704137
BaseRepresentation
bin1011001100110001101001…
…0010111100010101111000
31121121012212122222220000110
42303030122102330111320
53103223300234123000
642105005233104320
72410444120316301
oct263143222742570
947535778886013
1012314112411000
113a18427478394
12146a6833b80a0
136b42a61c7c3a
143080130d97a8
151654b9519850
hexb331a4bc578

12314112411000 has 64 divisors (see below), whose sum is σ = 38420030731680. Its totient is φ = 3283763308800.

The previous prime is 12314112410947. The next prime is 12314112411001. The reversal of 12314112411000 is 11421141321.

12314112411000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12314112411001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2052349069 + ... + 2052355068.

Almost surely, 212314112411000 is an apocalyptic number.

12314112411000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12314112411000 is an abundant number, since it is smaller than the sum of its proper divisors (26105918320680).

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

12314112411000 is a wasteful number, since it uses less digits than its factorization.

12314112411000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4104704161 (or 4104704147 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 12314112411000 its reverse (11421141321), we get a palindrome (12325533552321).

The spelling of 12314112411000 in words is "twelve trillion, three hundred fourteen billion, one hundred twelve million, four hundred eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 4104704137 8209408274 12314112411 16418816548 20523520685 24628224822 32837633096 41047041370 49256449644 61570562055 82094082740 98512899288 102617603425 123141124110 164188165480 205235206850 246282248220 307852810275 410470413700 492564496440 513088017125 615705620550 820940827400 1026176034250 1231411241100 1539264051375 2052352068500 2462822482200 3078528102750 4104704137000 6157056205500 12314112411000