Search a number
-
+
11012000102220 = 22351323613823863
BaseRepresentation
bin1010000000111110111001…
…0110101011011101001100
31102222201220012222000212210
42200033232112223131030
52420410034011232340
635230502031230420
72214406425314145
oct240175626533514
942881805860783
1011012000102220
113566187a80367
12129a248678410
1361b5725c3260
142a0dab1bcacc
151416a9e4a180
hexa03ee5ab74c

11012000102220 has 96 divisors (see below), whose sum is σ = 34649129475072. Its totient is φ = 2592791993088.

The previous prime is 11012000102209. The next prime is 11012000102221. The reversal of 11012000102220 is 2220100021011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11012000102196 and 11012000102205.

It is not an unprimeable number, because it can be changed into a prime (11012000102221) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 306893992 + ... + 306929871.

It is an arithmetic number, because the mean of its divisors is an integer number (360928432032).

Almost surely, 211012000102220 is an apocalyptic number.

11012000102220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11012000102220 is an abundant number, since it is smaller than the sum of its proper divisors (23637129372852).

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

11012000102220 is a wasteful number, since it uses less digits than its factorization.

11012000102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613823911 (or 613823909 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11012000102220 its reverse (2220100021011), we get a palindrome (13232100123231).

The spelling of 11012000102220 in words is "eleven trillion, twelve billion, one hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 23 26 30 39 46 52 60 65 69 78 92 115 130 138 156 195 230 260 276 299 345 390 460 598 690 780 897 1196 1380 1495 1794 2990 3588 4485 5980 8970 17940 613823863 1227647726 1841471589 2455295452 3069119315 3682943178 6138238630 7365886356 7979710219 9207357945 12276477260 14117948849 15959420438 18414715890 23939130657 28235897698 31918840876 36829431780 39898551095 42353846547 47878261314 56471795396 70589744245 79797102190 84707693094 95756522628 119695653285 141179488490 159594204380 169415386188 183533335037 211769232735 239391306570 282358976980 367066670074 423538465470 478782613140 550600005111 734133340148 847076930940 917666675185 1101200010222 1835333350370 2202400020444 2753000025555 3670666700740 5506000051110 11012000102220