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82631311334 = 211131918478233
BaseRepresentation
bin100110011110100110…
…1011011111111100110
321220021201101112120022
41030331031123333212
52323212103430314
6101543231435142
75653452362135
oct1147515337746
9256251345508
1082631311334
1132053248250
1214021085ab2
137a3b31b880
143ddc40b91c
1522394d678e
hex133d35bfe6

82631311334 has 64 divisors (see below), whose sum is σ = 153381634560. Its totient is φ = 32823947520.

The previous prime is 82631311303. The next prime is 82631311337. The reversal of 82631311334 is 43311313628.

It is a super-2 number, since 2×826313113342 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 82631311294 and 82631311303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82631311337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10032482 + ... + 10040714.

It is an arithmetic number, because the mean of its divisors is an integer number (2396588040).

Almost surely, 282631311334 is an apocalyptic number.

82631311334 is a deficient number, since it is larger than the sum of its proper divisors (70750323226).

82631311334 is a wasteful number, since it uses less digits than its factorization.

82631311334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10125.

The product of its digits is 31104, while the sum is 35.

The spelling of 82631311334 in words is "eighty-two billion, six hundred thirty-one million, three hundred eleven thousand, three hundred thirty-four".

Divisors: 1 2 11 13 19 22 26 38 143 209 247 286 418 494 1847 2717 3694 5434 8233 16466 20317 24011 35093 40634 48022 70186 90563 107029 156427 181126 214058 264121 312854 386023 456209 528242 772046 912418 1177319 1720697 2033551 2354638 3441394 4067102 5018299 10036598 15206351 22369061 30412702 44738122 167269861 197682563 288920669 334539722 395365126 577841338 2174508193 3178127359 3755968697 4349016386 6356254718 7511937394 41315655667 82631311334