Search a number
-
+
11212000001120 = 255177743394249
BaseRepresentation
bin1010001100100111111101…
…0001101111110001100000
31110200212010120001120200202
42203021333101233301200
52432144134000013440
635502415515204332
72235016545360332
oct243117721576140
943625116046622
1011212000001120
113632a89782606
121310b641466a8
136343968a83b9
142aa941275452
151469b339e615
hexa327f46fc60

11212000001120 has 48 divisors (see below), whose sum is σ = 26488566216000. Its totient is φ = 4484763393024.

The previous prime is 11212000001117. The next prime is 11212000001159. The reversal of 11212000001120 is 2110000021211.

It is a super-2 number, since 2×112120000011202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28241756 + ... + 28636004.

It is an arithmetic number, because the mean of its divisors is an integer number (551845129500).

Almost surely, 211212000001120 is an apocalyptic number.

11212000001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11212000001120 is an abundant number, since it is smaller than the sum of its proper divisors (15276566214880).

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

11212000001120 is a wasteful number, since it uses less digits than its factorization.

11212000001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572007 (or 571999 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11212000001120 its reverse (2110000021211), we get a palindrome (13322000022331).

The spelling of 11212000001120 in words is "eleven trillion, two hundred twelve billion, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 177743 355486 394249 710972 788498 888715 1421944 1576996 1777430 1971245 2843888 3153992 3554860 3942490 5687776 6307984 7109720 7884980 12615968 14219440 15769960 28438880 31539920 63079840 70075000007 140150000014 280300000028 350375000035 560600000056 700750000070 1121200000112 1401500000140 2242400000224 2803000000280 5606000000560 11212000001120