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11200111002220 = 2257269355983563
BaseRepresentation
bin1010001011111011101010…
…1000110100001001101100
31110122201102222210212020011
42202332322220310021230
52432000311404032340
635453132052503004
72234116122505060
oct242767250641154
943581388725204
1011200111002220
113628a38746788
12130a7a661aa64
136332207397ca
142aa1342adaa0
151465197580ea
hexa2fbaa3426c

11200111002220 has 96 divisors (see below), whose sum is σ = 26988096844800. Its totient is φ = 3824642098944.

The previous prime is 11200111002193. The next prime is 11200111002253. The reversal of 11200111002220 is 2220011100211.

11200111002220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11200111002220.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133990159 + ... + 134073721.

It is an arithmetic number, because the mean of its divisors is an integer number (281126008800).

Almost surely, 211200111002220 is an apocalyptic number.

11200111002220 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 11200111002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13494048422400).

11200111002220 is an abundant number, since it is smaller than the sum of its proper divisors (15787985842580).

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

11200111002220 is a wasteful number, since it uses less digits than its factorization.

11200111002220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87407 (or 87405 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11200111002220 its reverse (2220011100211), we get a palindrome (13420122102431).

The spelling of 11200111002220 in words is "eleven trillion, two hundred billion, one hundred eleven million, two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 269 538 1076 1345 1883 2690 3559 3766 5380 7118 7532 9415 14236 17795 18830 24913 35590 37660 49826 71180 83563 99652 124565 167126 249130 334252 417815 498260 584941 835630 957371 1169882 1671260 1914742 2339764 2924705 3829484 4786855 5849410 6701597 9573710 11698820 13403194 19147420 22478447 26806388 33507985 44956894 67015970 89913788 112392235 134031940 157349129 224784470 297400717 314698258 449568940 594801434 629396516 786745645 1189602868 1487003585 1573491290 2081805019 2974007170 3146982580 4163610038 5948014340 8327220076 10409025095 20818050190 41636100380 80000792873 160001585746 320003171492 400003964365 560005550111 800007928730 1120011100222 1600015857460 2240022200444 2800027750555 5600055501110 11200111002220