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11122010220 = 22351912414027
BaseRepresentation
bin10100101101110110…
…00110100001101100
31001201010000122210110
422112323012201230
5140234213311340
65035343140020
7542420345526
oct122673064154
931633018713
1011122010220
1147980a2992
1221a48a4610
1310832a6549
14777190a16
15451640680
hex296ec686c

11122010220 has 96 divisors (see below), whose sum is σ = 31442374656. Its totient is φ = 2937369600.

The previous prime is 11122010189. The next prime is 11122010231. The reversal of 11122010220 is 2201022111.

11122010220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×111220102202 (a number of 21 digits) contains 22 as substring.

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 = 11122010196 and 11122010205.

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 31 ways as a sum of consecutive naturals, for example, 2759847 + ... + 2763873.

It is an arithmetic number, because the mean of its divisors is an integer number (327524736).

Almost surely, 211122010220 is an apocalyptic number.

11122010220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11122010220 is an abundant number, since it is smaller than the sum of its proper divisors (20320364436).

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

11122010220 is a wasteful number, since it uses less digits than its factorization.

11122010220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4471 (or 4469 counting only the distinct ones).

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

Adding to 11122010220 its reverse (2201022111), we get a palindrome (13323032331).

The spelling of 11122010220 in words is "eleven billion, one hundred twenty-two million, ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 191 241 382 482 573 723 764 955 964 1146 1205 1446 1910 2292 2410 2865 2892 3615 3820 4027 4820 5730 7230 8054 11460 12081 14460 16108 20135 24162 40270 46031 48324 60405 80540 92062 120810 138093 184124 230155 241620 276186 460310 552372 690465 769157 920620 970507 1380930 1538314 1941014 2307471 2761860 2911521 3076628 3845785 3882028 4614942 4852535 5823042 7691570 9229884 9705070 11537355 11646084 14557605 15383140 19410140 23074710 29115210 46149420 58230420 185366837 370733674 556100511 741467348 926834185 1112201022 1853668370 2224402044 2780502555 3707336740 5561005110 11122010220