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11122010200 = 2352724326393
BaseRepresentation
bin10100101101110110…
…00110100001011000
31001201010000122202201
422112323012201120
5140234213311300
65035343135544
7542420345500
oct122673064130
931633018681
1011122010200
1147980a2974
1221a48a45b4
1310832a6532
14777190a00
1545164066a
hex296ec6858

11122010200 has 144 divisors (see below), whose sum is σ = 30781210680. Its totient is φ = 3724439040.

The previous prime is 11122010189. The next prime is 11122010231. The reversal of 11122010200 is 201022111.

It is a super-2 number, since 2×111220102002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 408204 + ... + 434596.

Almost surely, 211122010200 is an apocalyptic number.

11122010200 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 11122010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15390605340).

11122010200 is an abundant number, since it is smaller than the sum of its proper divisors (19659200480).

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

11122010200 is a wasteful number, since it uses less digits than its factorization.

11122010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26466 (or 26450 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11122010200 its reverse (201022111), we get a palindrome (11323032311).

The spelling of 11122010200 in words is "eleven billion, one hundred twenty-two million, ten thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 43 49 50 56 70 86 98 100 140 172 175 196 200 215 245 280 301 344 350 392 430 490 602 700 860 980 1075 1204 1225 1400 1505 1720 1960 2107 2150 2408 2450 3010 4214 4300 4900 6020 7525 8428 8600 9800 10535 12040 15050 16856 21070 26393 30100 42140 52675 52786 60200 84280 105350 105572 131965 184751 210700 211144 263930 369502 421400 527860 659825 739004 923755 1055720 1134899 1293257 1319650 1478008 1847510 2269798 2586514 2639300 3695020 4539596 4618775 5173028 5278600 5674495 6466285 7390040 7944293 9079192 9237550 10346056 11348990 12932570 15888586 18475100 22697980 25865140 28372475 31777172 32331425 36950200 39721465 45395960 51730280 55610051 56744950 63554344 64662850 79442930 111220102 113489900 129325700 158885860 198607325 222440204 226979800 258651400 278050255 317771720 397214650 444880408 556100510 794429300 1112201020 1390251275 1588858600 2224402040 2780502550 5561005100 11122010200