Search a number
-
+
2113133412 = 22313219173317
BaseRepresentation
bin111110111110011…
…1101101101100100
312110021020022002110
41331330331231210
513311430232122
6545403441020
7103236223545
oct17574755544
95407208073
102113133412
11994899455
124ab826170
13278a38a00
141609084cc
15c57ad90c
hex7df3db64

2113133412 has 144 divisors (see below), whose sum is σ = 5670423360. Its totient is φ = 610481664.

The previous prime is 2113133357. The next prime is 2113133443. The reversal of 2113133412 is 2143313112.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6665878 + ... + 6666194.

It is an arithmetic number, because the mean of its divisors is an integer number (39377940).

Almost surely, 22113133412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2113133412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2835211680).

2113133412 is an abundant number, since it is smaller than the sum of its proper divisors (3557289948).

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

2113133412 is a wasteful number, since it uses less digits than its factorization.

2113133412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 527 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 2113133412 is about 45968.8308748439. The cubic root of 2113133412 is about 1283.2432021856.

Adding to 2113133412 its reverse (2143313112), we get a palindrome (4256446524).

The spelling of 2113133412 in words is "two billion, one hundred thirteen million, one hundred thirty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 169 173 228 247 317 338 346 494 507 519 634 676 692 741 951 988 1014 1038 1268 1482 1902 2028 2076 2249 2964 3211 3287 3804 4121 4498 6023 6422 6574 6747 8242 8996 9633 9861 12046 12363 12844 13148 13494 16484 18069 19266 19722 24092 24726 26988 29237 36138 38532 39444 42731 49452 53573 54841 58474 72276 78299 85462 87711 107146 109682 116948 128193 156598 160719 164523 170924 175422 214292 219364 234897 256386 313196 321438 329046 350844 469794 512772 555503 642876 658092 712933 939588 1017887 1041979 1111006 1425866 1666509 2035774 2083958 2138799 2222012 2851732 3053661 3125937 3333018 4071548 4167916 4277598 6107322 6251874 6666036 8555196 9268129 12214644 12503748 13545727 18536258 27091454 27804387 37072516 40637181 54182908 55608774 81274362 111217548 162548724 176094451 352188902 528283353 704377804 1056566706 2113133412