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11216104402440 = 2335767199291123
BaseRepresentation
bin1010001100110111001111…
…1010110010111000001000
31110201020201121012202211110
42203031303322302320020
52432231040211334230
635504335054530320
72235223344250050
oct243156372627010
943636647182743
1011216104402440
1136347a5594013
12131190a8069a0
1363489c021a32
142aac10404560
15146b538984b0
hexa3373eb2e08

11216104402440 has 128 divisors (see below), whose sum is σ = 39029173724160. Its totient is φ = 2525417097984.

The previous prime is 11216104402367. The next prime is 11216104402471. The reversal of 11216104402440 is 4420440161211.

11216104402440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11216104402398 and 11216104402407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99589282 + ... + 99701841.

It is an arithmetic number, because the mean of its divisors is an integer number (304915419720).

Almost surely, 211216104402440 is an apocalyptic number.

11216104402440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11216104402440 is an abundant number, since it is smaller than the sum of its proper divisors (27813069321720).

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

11216104402440 is a wasteful number, since it uses less digits than its factorization.

11216104402440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199291211 (or 199291207 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 11216104402440 its reverse (4420440161211), we get a palindrome (15636544563651).

The spelling of 11216104402440 in words is "eleven trillion, two hundred sixteen billion, one hundred four million, four hundred two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 67 70 84 105 120 134 140 168 201 210 268 280 335 402 420 469 536 670 804 840 938 1005 1340 1407 1608 1876 2010 2345 2680 2814 3752 4020 4690 5628 7035 8040 9380 11256 14070 18760 28140 56280 199291123 398582246 597873369 797164492 996455615 1195746738 1395037861 1594328984 1992911230 2391493476 2790075722 2989366845 3985822460 4185113583 4782986952 5580151444 5978733690 6975189305 7971644920 8370227166 11160302888 11957467380 13352505241 13950378610 16740454332 20925567915 23914934760 26705010482 27900757220 33480908664 40057515723 41851135830 53410020964 55801514440 66762526205 80115031446 83702271660 93467536687 106820041928 133525052410 160230062892 167404543320 186935073374 200287578615 267050104820 280402610061 320460125784 373870146748 400575157230 467337683435 534100209640 560805220122 747740293496 801150314460 934675366870 1121610440244 1402013050305 1602300628920 1869350733740 2243220880488 2804026100610 3738701467480 5608052201220 11216104402440