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1334255013 = 3271317611571
BaseRepresentation
bin100111110000111…
…0001110110100101
310102222122011210100
41033201301312211
510213032130023
6340221414313
745030660210
oct11741616645
93388564710
101334255013
116251745a3
12312a0a399
1318356c910
14c92ba777
157c209c43
hex4f871da5

1334255013 has 96 divisors (see below), whose sum is σ = 2554336512. Its totient is φ = 651110400.

The previous prime is 1334255009. The next prime is 1334255029. The reversal of 1334255013 is 3105524331.

1334255013 is a `hidden beast` number, since 133 + 4 + 25 + 501 + 3 = 666.

It is not a de Polignac number, because 1334255013 - 22 = 1334255009 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1334255003) 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 95 ways as a sum of consecutive naturals, for example, 848518 + ... + 850088.

It is an arithmetic number, because the mean of its divisors is an integer number (26607672).

Almost surely, 21334255013 is an apocalyptic number.

1334255013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1334255013 is a deficient number, since it is larger than the sum of its proper divisors (1220081499).

1334255013 is a wasteful number, since it uses less digits than its factorization.

1334255013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1675 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 1334255013 is about 36527.4556053388. The cubic root of 1334255013 is about 1100.8959678177.

Adding to 1334255013 its reverse (3105524331), we get a palindrome (4439779344).

The spelling of 1334255013 in words is "one billion, three hundred thirty-four million, two hundred fifty-five thousand, thirteen".

Divisors: 1 3 7 9 13 17 21 39 51 61 63 91 117 119 153 183 221 273 357 427 549 663 793 819 1037 1071 1281 1547 1571 1989 2379 3111 3843 4641 4713 5551 7137 7259 9333 10997 13481 13923 14139 16653 20423 21777 26707 32991 40443 49959 61269 65331 80121 94367 95831 98973 121329 142961 183807 186949 240363 283101 287493 347191 428883 560847 670817 849303 862479 1041573 1245803 1286649 1629127 1682541 2012451 2430337 3124719 3737409 4887381 6037353 7291011 8720621 11212227 11403889 14662143 21178651 21873033 26161863 34211667 63535953 78485589 102635001 148250557 190607859 444751671 1334255013