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11212277340 = 22351119247059
BaseRepresentation
bin10100111000100110…
…11100011001011100
31001221101212201000010
422130103130121130
5140430320333330
65052330003220
7544564533135
oct123423343134
931841781003
1011212277340
114834046a10
12220ab76510
131098bbcc44
1478516ac8c
154595213b0
hex29c4dc65c

11212277340 has 144 divisors (see below), whose sum is σ = 36146597760. Its totient is φ = 2575013760.

The previous prime is 11212277311. The next prime is 11212277353. The reversal of 11212277340 is 4377221211.

11212277340 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 = 11212277298 and 11212277307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 214731 + ... + 261789.

It is an arithmetic number, because the mean of its divisors is an integer number (251018040).

Almost surely, 211212277340 is an apocalyptic number.

11212277340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11212277340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18073298880).

11212277340 is an abundant number, since it is smaller than the sum of its proper divisors (24934320420).

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

11212277340 is a wasteful number, since it uses less digits than its factorization.

11212277340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47120 (or 47099 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

Adding to 11212277340 its reverse (4377221211), we get a palindrome (15589498551).

The spelling of 11212277340 in words is "eleven billion, two hundred twelve million, two hundred seventy-seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 60 66 76 95 110 114 132 165 190 209 220 228 285 330 361 380 418 570 627 660 722 836 1045 1083 1140 1254 1444 1805 2090 2166 2508 3135 3610 3971 4180 4332 5415 6270 7220 7942 10830 11913 12540 15884 19855 21660 23826 39710 47059 47652 59565 79420 94118 119130 141177 188236 235295 238260 282354 470590 517649 564708 705885 894121 941180 1035298 1411770 1552947 1788242 2070596 2588245 2682363 2823540 3105894 3576484 4470605 5176490 5364726 6211788 7764735 8941210 9835331 10352980 10729452 13411815 15529470 16988299 17882420 19670662 26823630 29505993 31058940 33976598 39341324 49176655 50964897 53647260 59011986 67953196 84941495 98353310 101929794 118023972 147529965 169882990 186871289 196706620 203859588 254824485 295059930 339765980 373742578 509648970 560613867 590119860 747485156 934356445 1019297940 1121227734 1868712890 2242455468 2803069335 3737425780 5606138670 11212277340