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11220012222100 = 2252114724617479
BaseRepresentation
bin1010001101000101110011…
…0101111100011010010100
31110201121210221110120121221
42203101130311330122110
52432312041112101400
635510222533020124
72235422235210223
oct243213465743224
943647727416557
1011220012222100
113636420437840
12131261b484644
13635072809c66
142ab0a1400cba
15146cd19b0c1a
hexa345cd7c694

11220012222100 has 108 divisors (see below), whose sum is σ = 27137982745440. Its totient is φ = 3993194974400.

The previous prime is 11220012222079. The next prime is 11220012222113. The reversal of 11220012222100 is 122221002211.

It is a happy number.

11220012222100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 121161 + ... + 4738639.

Almost surely, 211220012222100 is an apocalyptic number.

11220012222100 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 11220012222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13568991372720).

11220012222100 is an abundant number, since it is smaller than the sum of its proper divisors (15917970523340).

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

11220012222100 is a wasteful number, since it uses less digits than its factorization.

11220012222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4617598 (or 4617544 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11220012222100 its reverse (122221002211), we get a palindrome (11342233224311).

The spelling of 11220012222100 in words is "eleven trillion, two hundred twenty billion, twelve million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 47 50 55 94 100 110 188 220 235 275 470 517 550 940 1034 1100 1175 2068 2209 2350 2585 4418 4700 5170 8836 10340 11045 12925 22090 24299 25850 44180 48598 51700 55225 97196 110450 121495 220900 242990 485980 607475 1214950 2429900 4617479 9234958 18469916 23087395 46174790 50792269 92349580 101584538 115436975 203169076 217021513 230873950 253961345 434043026 461747900 507922690 868086052 1015845380 1085107565 1269806725 2170215130 2387236643 2539613450 4340430260 4774473286 5079226900 5425537825 9548946572 10200011111 10851075650 11936183215 20400022222 21702151300 23872366430 40800044444 47744732860 51000055555 59680916075 102000111110 112200122221 119361832150 204000222220 224400244442 238723664300 255000277775 448800488884 510000555550 561000611105 1020001111100 1122001222210 2244002444420 2805003055525 5610006111050 11220012222100