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314013201331 = 13716271408769
BaseRepresentation
bin1001001000111001010…
…01010011001110110011
31010000112010020102010211
410210130221103032303
520121044334420311
6400131120404551
731454353112614
oct4443451231663
91100463212124
10314013201331
111111992a1925
1250a36476757
13237c40b050b
14112ac293c0b
15827ca4d821
hex491ca533b3

314013201331 has 8 divisors (see below), whose sum is σ = 316499903280. Its totient is φ = 311529320448.

The previous prime is 314013201289. The next prime is 314013201347. The reversal of 314013201331 is 133102310413.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 314013201331 - 215 = 314013168563 is a prime.

It is a super-2 number, since 2×3140132013312 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (314013201391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 481486 + ... + 927283.

It is an arithmetic number, because the mean of its divisors is an integer number (39562487910).

Almost surely, 2314013201331 is an apocalyptic number.

314013201331 is a deficient number, since it is larger than the sum of its proper divisors (2486701949).

314013201331 is a wasteful number, since it uses less digits than its factorization.

314013201331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410533.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 314013201331 its reverse (133102310413), we get a palindrome (447115511744).

The spelling of 314013201331 in words is "three hundred fourteen billion, thirteen million, two hundred one thousand, three hundred thirty-one".

Divisors: 1 137 1627 222899 1408769 193001353 2292067163 314013201331