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221120201000 = 2353659335539
BaseRepresentation
bin1100110111101111001…
…0101000000100101000
3210010202020200001122002
43031323302220010220
512110323232413000
6245325313150132
721655364461016
oct3157362500450
9703666601562
10221120201000
118585a652876
1236a3085b348
1317b0bacb52a
14a9b90838b6
155b427168d5
hex337bca8128

221120201000 has 64 divisors (see below), whose sum is σ = 518207976000. Its totient is φ = 88313601600.

The previous prime is 221120200907. The next prime is 221120201039. The reversal of 221120201000 is 102021122.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 491231 + ... + 826769.

It is an arithmetic number, because the mean of its divisors is an integer number (8096999625).

Almost surely, 2221120201000 is an apocalyptic number.

221120201000 is a gapful number since it is divisible by the number (20) 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 221120201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259103988000).

221120201000 is an abundant number, since it is smaller than the sum of its proper divisors (297087775000).

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

221120201000 is a wasteful number, since it uses less digits than its factorization.

221120201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336219 (or 336205 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 221120201000 its reverse (102021122), we get a palindrome (221222222122).

The spelling of 221120201000 in words is "two hundred twenty-one billion, one hundred twenty million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 659 1000 1318 2636 3295 5272 6590 13180 16475 26360 32950 65900 82375 131800 164750 329500 335539 659000 671078 1342156 1677695 2684312 3355390 6710780 8388475 13421560 16776950 33553900 41942375 67107800 83884750 167769500 221120201 335539000 442240402 884480804 1105601005 1768961608 2211202010 4422404020 5528005025 8844808040 11056010050 22112020100 27640025125 44224040200 55280050250 110560100500 221120201000