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2116303365335 = 517229594791787
BaseRepresentation
bin11110110010111101100…
…000101010010011010111
321111022112211010222000112
4132302331200222103113
5234133142130142320
64300114421433235
7305616653540645
oct36627540522327
97438484128015
102116303365335
11746579094635
122a21a186b81b
13124749935843
1474602c90195
153a0b3683ec5
hex1ecbd82a4d7

2116303365335 has 96 divisors (see below), whose sum is σ = 2845580544000. Its totient is φ = 1508426909696.

The previous prime is 2116303365317. The next prime is 2116303365349. The reversal of 2116303365335 is 5335633036112.

It is not a de Polignac number, because 2116303365335 - 210 = 2116303364311 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2116303365292 and 2116303365301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1184276312 + ... + 1184278098.

It is an arithmetic number, because the mean of its divisors is an integer number (29641464000).

Almost surely, 22116303365335 is an apocalyptic number.

2116303365335 is a deficient number, since it is larger than the sum of its proper divisors (729277178665).

2116303365335 is a wasteful number, since it uses less digits than its factorization.

2116303365335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2393 (or 2376 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 41.

The spelling of 2116303365335 in words is "two trillion, one hundred sixteen billion, three hundred three million, three hundred sixty-five thousand, three hundred thirty-five".

Divisors: 1 5 17 29 59 85 145 289 295 479 493 1003 1445 1711 1787 2395 2465 5015 8143 8381 8555 8935 13891 17051 28261 29087 30379 40715 41905 51823 69455 85255 105433 138431 141305 145435 151895 236147 259115 480437 494479 516443 527165 692155 819569 855973 880991 1180735 1792361 2402185 2472395 2582215 3057557 4014499 4097845 4279865 4404955 8167429 8961805 13932673 14551541 14976847 15287785 20072495 24823217 30470137 40837145 50502407 51978469 69663365 72757705 74884235 124116085 152350685 236855441 247376197 252512035 259892345 421994689 858540919 883633973 1184277205 1236880985 1464569803 2109973445 4292704595 4418169865 7173909713 7322849015 14595195623 24897686651 35869548565 72975978115 124488433255 423260673067 2116303365335