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201324140220340 = 22593371078098641
BaseRepresentation
bin101101110001101001101101…
…110111001100111110110100
3222101211101210111001202122101
4231301221231313030332310
5202341443314344022330
61552103011101511444
760256121605425304
oct5561515567147664
9871741714052571
10201324140220340
115916a0a7710365
121a6b5b73272584
138844a28739067
1437a01d72a9604
151841d824524ca
hexb71a6ddccfb4

201324140220340 has 24 divisors (see below), whose sum is σ = 422825974997832. Its totient is φ = 80521031224320.

The previous prime is 201324140220293. The next prime is 201324140220347. The reversal of 201324140220340 is 43022041423102.

It can be written as a sum of positive squares in 4 ways, for example, as 22345871488164 + 178978268732176 = 4727142^2 + 13378276^2 .

It is a junction number, because it is equal to n+sod(n) for n = 201324140220299 and 201324140220308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201324140220347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 538862581 + ... + 539236060.

It is an arithmetic number, because the mean of its divisors is an integer number (17617748958243).

Almost surely, 2201324140220340 is an apocalyptic number.

201324140220340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201324140220340 is an abundant number, since it is smaller than the sum of its proper divisors (221501834777492).

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

201324140220340 is a wasteful number, since it uses less digits than its factorization.

201324140220340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078107987 (or 1078107985 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 201324140220340 its reverse (43022041423102), we get a palindrome (244346181643442).

The spelling of 201324140220340 in words is "two hundred one trillion, three hundred twenty-four billion, one hundred forty million, two hundred twenty thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 9337 18674 37348 46685 93370 186740 1078098641 2156197282 4312394564 5390493205 10780986410 21561972820 10066207011017 20132414022034 40264828044068 50331035055085 100662070110170 201324140220340