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1011323013 = 3171931131257
BaseRepresentation
bin111100010001111…
…001000010000101
32121110222112100220
4330101321002011
54032344314023
6244204054553
734030050411
oct7421710205
92543875326
101011323013
11479957a48
12242834459
131316a2cac
1498457d41
155dbbb3e3
hex3c479085

1011323013 has 64 divisors (see below), whose sum is σ = 1569300480. Its totient is φ = 575078400.

The previous prime is 1011323009. The next prime is 1011323023. The reversal of 1011323013 is 3103231101.

It is not a de Polignac number, because 1011323013 - 22 = 1011323009 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1011322983 and 1011323001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011323023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3934981 + ... + 3935237.

It is an arithmetic number, because the mean of its divisors is an integer number (24520320).

Almost surely, 21011323013 is an apocalyptic number.

It is an amenable number.

1011323013 is a deficient number, since it is larger than the sum of its proper divisors (557977467).

1011323013 is a wasteful number, since it uses less digits than its factorization.

1011323013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 1011323013 is about 31801.3052090634. The cubic root of 1011323013 is about 1003.7601809840.

Adding to 1011323013 its reverse (3103231101), we get a palindrome (4114554114).

The spelling of 1011323013 in words is "one billion, eleven million, three hundred twenty-three thousand, thirteen".

Divisors: 1 3 17 19 31 51 57 93 131 257 323 393 527 589 771 969 1581 1767 2227 2489 4061 4369 4883 6681 7467 7967 10013 12183 13107 14649 23901 30039 33667 42313 69037 77159 83011 101001 126939 135439 151373 207111 231477 249033 406317 454119 572339 639673 1043677 1311703 1717017 1919019 2573341 3131031 3935109 7720023 10874441 17742509 19829863 32623323 53227527 59489589 337107671 1011323013