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2118884313 = 37213219672
BaseRepresentation
bin111111001001011…
…1001101111011001
312110200001110211210
41332102321233121
513314413244223
6550131013333
7103336135200
oct17622715731
95420043753
102118884313
11998067167
124b173a249
13279ca0500
141615a4237
15c6047893
hex7e4b9bd9

2118884313 has 108 divisors (see below), whose sum is σ = 3802725360. Its totient is φ = 1043025984.

The previous prime is 2118884309. The next prime is 2118884329. The reversal of 2118884313 is 3134888112.

It is not a de Polignac number, because 2118884313 - 22 = 2118884309 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (2118884113) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 31625106 + ... + 31625172.

It is an arithmetic number, because the mean of its divisors is an integer number (35210420).

Almost surely, 22118884313 is an apocalyptic number.

It is an amenable number.

2118884313 is a deficient number, since it is larger than the sum of its proper divisors (1683841047).

2118884313 is a wasteful number, since it uses less digits than its factorization.

2118884313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 109 counting only the distinct ones).

The product of its digits is 36864, while the sum is 39.

The square root of 2118884313 is about 46031.3405518458. The cubic root of 2118884313 is about 1284.4062648921.

It can be divided in two parts, 21188 and 84313, that added together give a palindrome (105501).

The spelling of 2118884313 in words is "two billion, one hundred eighteen million, eight hundred eighty-four thousand, three hundred thirteen".

Divisors: 1 3 7 13 19 21 39 49 57 67 91 133 147 169 201 247 273 399 469 507 637 741 871 931 1183 1273 1407 1729 1911 2613 2793 3211 3283 3549 3819 4489 5187 6097 8281 8911 9633 9849 11323 12103 13467 16549 18291 22477 24843 26733 31423 33969 36309 42679 49647 58357 62377 67431 79261 85291 94269 115843 128037 157339 175071 187131 215137 219961 237783 255873 347529 408499 472017 554827 597037 645411 659883 758641 810901 1108783 1225497 1505959 1664481 1791111 2275923 2432703 2859493 3326349 4179259 4517877 5310487 7761481 8578479 10541713 12537777 14414179 15931461 23284443 31625139 37173409 43242537 54330367 100899253 111520227 162991101 302697759 706294771 2118884313