Search a number
-
+
2113416630 = 2335133119423
BaseRepresentation
bin111110111111000…
…0010110110110110
312110021202200121000
41331332002312312
513312013313010
6545413504130
7103241513343
oct17576026666
95407680530
102113416630
11994a72216
124ab942046
13278b078b0
1416097d7ca
15c58177c0
hex7df82db6

2113416630 has 128 divisors (see below), whose sum is σ = 6265405440. Its totient is φ = 503418240.

The previous prime is 2113416623. The next prime is 2113416631. The reversal of 2113416630 is 366143112.

2113416630 is a `hidden beast` number, since 2 + 1 + 13 + 4 + 16 + 630 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2113416594 and 2113416603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113416631) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 99099 + ... + 118521.

It is an arithmetic number, because the mean of its divisors is an integer number (48948480).

Almost surely, 22113416630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2113416630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3132702720).

2113416630 is an abundant number, since it is smaller than the sum of its proper divisors (4151988810).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2113416630 is a wasteful number, since it uses less digits than its factorization.

2113416630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19483 (or 19477 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2113416630 is about 45971.9113154979. The cubic root of 2113416630 is about 1283.3005295863.

Adding to 2113416630 its reverse (366143112), we get a palindrome (2479559742).

The spelling of 2113416630 in words is "two billion, one hundred thirteen million, four hundred sixteen thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 31 39 45 54 62 65 78 90 93 117 130 135 155 186 195 234 270 279 310 351 390 403 465 558 585 702 806 837 930 1170 1209 1395 1674 1755 2015 2418 2790 3510 3627 4030 4185 6045 7254 8370 10881 12090 18135 19423 21762 36270 38846 54405 58269 97115 108810 116538 174807 194230 252499 291345 349614 504998 524421 582690 602113 757497 874035 1048842 1204226 1262495 1514994 1748070 1806339 2272491 2524990 2622105 3010565 3612678 3787485 4544982 5244210 5419017 6021130 6817473 7574970 7827469 9031695 10838034 11362455 13634946 15654938 16257051 18063390 22724910 23482407 27095085 32514102 34087365 39137345 46964814 54190170 68174730 70447221 78274690 81285255 117412035 140894442 162570510 211341663 234824070 352236105 422683326 704472210 1056708315 2113416630