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2000113310 = 251327179211
BaseRepresentation
bin111011100110111…
…0100111010011110
312011101120021122202
41313031310322132
513044012111220
6530245211502
7100364453066
oct16715647236
95141507582
102000113310
11937014808
12479a00b92
1325b4b6b00
1414d8c83a6
15ba8d6275
hex77374e9e

2000113310 has 96 divisors (see below), whose sum is σ = 4022369280. Its totient is φ = 715478400.

The previous prime is 2000113301. The next prime is 2000113319. The reversal of 2000113310 is 133110002.

It is an interprime number because it is at equal distance from previous prime (2000113301) and next prime (2000113319).

It is a super-3 number, since 3×20001133103 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2000113291 and 2000113300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000113319) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9479105 + ... + 9479315.

It is an arithmetic number, because the mean of its divisors is an integer number (41899680).

Almost surely, 22000113310 is an apocalyptic number.

2000113310 is an abundant number, since it is smaller than the sum of its proper divisors (2022255970).

2000113310 is a wasteful number, since it uses less digits than its factorization.

2000113310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 2000113310 is about 44722.6263763657. The cubic root of 2000113310 is about 1259.9448430546.

Adding to 2000113310 its reverse (133110002), we get a palindrome (2133223312).

The spelling of 2000113310 in words is "two billion, one hundred thirteen thousand, three hundred ten".

Divisors: 1 2 5 10 13 26 65 71 79 130 142 158 169 211 338 355 395 422 710 790 845 923 1027 1055 1690 1846 2054 2110 2743 4615 5135 5486 5609 9230 10270 11218 11999 13351 13715 14981 16669 23998 26702 27430 28045 29962 33338 35659 56090 59995 66755 71318 72917 74905 83345 119990 133510 145834 149810 166690 178295 194753 216697 356590 364585 389506 433394 729170 947921 973765 1083485 1183499 1895842 1947530 2166970 2366998 2531789 2817061 4739605 5063578 5634122 5917495 9479210 11834990 12658945 14085305 15385487 25317890 28170610 30770974 76927435 153854870 200011331 400022662 1000056655 2000113310