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11200421220 = 2235976193109
BaseRepresentation
bin10100110111001100…
…01101110101100100
31001220120120100110120
422123212031311210
5140414301434340
65051223521540
7544362003162
oct123346156544
931816510416
1011200421220
11482838926a
122206bb92b0
1310965cb5a1
14783762232
1545847d4d0
hex29b98dd64

11200421220 has 96 divisors (see below), whose sum is σ = 31745884800. Its totient is φ = 2950262784.

The previous prime is 11200421213. The next prime is 11200421227. The reversal of 11200421220 is 2212400211.

It is an interprime number because it is at equal distance from previous prime (11200421213) and next prime (11200421227).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11200421220.

It is not an unprimeable number, because it can be changed into a prime (11200421227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3601026 + ... + 3604134.

It is an arithmetic number, because the mean of its divisors is an integer number (330686300).

Almost surely, 211200421220 is an apocalyptic number.

11200421220 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 11200421220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15872942400).

11200421220 is an abundant number, since it is smaller than the sum of its proper divisors (20545463580).

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

11200421220 is a wasteful number, since it uses less digits than its factorization.

11200421220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3837 (or 3835 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 11200421220 its reverse (2212400211), we get a palindrome (13412821431).

The spelling of 11200421220 in words is "eleven billion, two hundred million, four hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 97 194 291 388 485 582 619 970 1164 1238 1455 1857 1940 2476 2910 3095 3109 3714 5820 6190 6218 7428 9285 9327 12380 12436 15545 18570 18654 31090 37140 37308 46635 60043 62180 93270 120086 180129 186540 240172 300215 301573 360258 600430 603146 720516 900645 904719 1200860 1206292 1507865 1801290 1809438 1924471 3015730 3602580 3618876 3848942 4523595 5773413 6031460 7697884 9047190 9622355 11546826 18094380 19244710 23093652 28867065 38489420 57734130 115468260 186673687 373347374 560021061 746694748 933368435 1120042122 1866736870 2240084244 2800105305 3733473740 5600210610 11200421220