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11002112200 = 2352412714951
BaseRepresentation
bin10100011111100011…
…01110100011001000
31001101202102012122001
422033301232203020
5140013020042300
65015421240344
7536433260602
oct121761564310
931352365561
1011002112200
114736450812
1221707030b4
1310644b6b81
147652a0172
15445d5a16a
hex28fc6e8c8

11002112200 has 96 divisors (see below), whose sum is σ = 26305816320. Its totient is φ = 4276800000.

The previous prime is 11002112167. The next prime is 11002112263. The reversal of 11002112200 is 221120011.

11002112200 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 2×110021122002 (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 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 23 ways as a sum of consecutive naturals, for example, 2219725 + ... + 2224675.

It is an arithmetic number, because the mean of its divisors is an integer number (274018920).

Almost surely, 211002112200 is an apocalyptic number.

11002112200 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 11002112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13152908160).

11002112200 is an abundant number, since it is smaller than the sum of its proper divisors (15303704120).

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

11002112200 is a wasteful number, since it uses less digits than its factorization.

11002112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5279 (or 5270 counting only the distinct ones).

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

Adding to 11002112200 its reverse (221120011), we get a palindrome (11223232211).

It can be divided in two parts, 110021 and 12200, that added together give a palindrome (122221).

The spelling of 11002112200 in words is "eleven billion, two million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 271 328 410 542 820 1025 1084 1355 1640 2050 2168 2710 4100 4951 5420 6775 8200 9902 10840 11111 13550 19804 22222 24755 27100 39608 44444 49510 54200 55555 88888 99020 111110 123775 198040 202991 222220 247550 277775 405982 444440 495100 555550 811964 990200 1014955 1111100 1341721 1623928 2029910 2222200 2683442 4059820 5074775 5366884 6708605 8119640 10149550 10733768 13417210 20299100 26834420 33543025 40598200 53668840 55010561 67086050 110021122 134172100 220042244 268344200 275052805 440084488 550105610 1100211220 1375264025 2200422440 2750528050 5501056100 11002112200