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263013831 = 3379123307
BaseRepresentation
bin11111010110101…
…00010111000111
3200022220111011000
433223110113013
51014312420311
642033144343
76342403113
oct1753242707
9608814130
10263013831
11125512203
12740bb0b3
134264acb2
1426d06743
1518155056
hexfad45c7

263013831 has 16 divisors (see below), whose sum is σ = 394585600. Its totient is φ = 173121624.

The previous prime is 263013791. The next prime is 263013841. The reversal of 263013831 is 138310362.

It is a happy number.

It is not a de Polignac number, because 263013831 - 215 = 262981063 is a prime.

It is a super-2 number, since 2×2630138312 = 138352550594593122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 263013795 and 263013804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263013841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59521 + ... + 63786.

It is an arithmetic number, because the mean of its divisors is an integer number (24661600).

Almost surely, 2263013831 is an apocalyptic number.

263013831 is a deficient number, since it is larger than the sum of its proper divisors (131571769).

263013831 is a wasteful number, since it uses less digits than its factorization.

263013831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123395 (or 123389 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 263013831 is about 16217.7011626186. The cubic root of 263013831 is about 640.7070887820.

It can be divided in two parts, 2630 and 13831, that added together give a palindrome (16461).

The spelling of 263013831 in words is "two hundred sixty-three million, thirteen thousand, eight hundred thirty-one".

Divisors: 1 3 9 27 79 237 711 2133 123307 369921 1109763 3329289 9741253 29223759 87671277 263013831