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1311006268 = 22111312718047
BaseRepresentation
bin100111000100100…
…0101111000111100
310101100220000111201
41032021011320330
510141104200033
6334031225244
744326240465
oct11611057074
93340800451
101311006268
11613035460
12307078224
1317b7bc870
14c6187d6c
157a16647d
hex4e245e3c

1311006268 has 48 divisors (see below), whose sum is σ = 2716729344. Its totient is φ = 545711040.

The previous prime is 1311006259. The next prime is 1311006269. The reversal of 1311006268 is 8626001131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311006269) 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, 63621 + ... + 81667.

It is an arithmetic number, because the mean of its divisors is an integer number (56598528).

Almost surely, 21311006268 is an apocalyptic number.

It is an amenable number.

1311006268 is an abundant number, since it is smaller than the sum of its proper divisors (1405723076).

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

1311006268 is a wasteful number, since it uses less digits than its factorization.

1311006268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18202 (or 18200 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 1311006268 is about 36207.8205364532. The cubic root of 1311006268 is about 1094.4642731520.

Adding to 1311006268 its reverse (8626001131), we get a palindrome (9937007399).

The spelling of 1311006268 in words is "one billion, three hundred eleven million, six thousand, two hundred sixty-eight".

Divisors: 1 2 4 11 13 22 26 44 52 127 143 254 286 508 572 1397 1651 2794 3302 5588 6604 18047 18161 36094 36322 72188 72644 198517 234611 397034 469222 794068 938444 2291969 2580721 4583938 5161442 9167876 10322884 25211659 29795597 50423318 59591194 100846636 119182388 327751567 655503134 1311006268