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221131120200 = 23352368551867
BaseRepresentation
bin1100110111110001110…
…0010001111001001000
3210010210000012210221220
43031330130101321020
512110334031321300
6245330343202040
721655556336304
oct3157434217110
9703700183856
10221131120200
1185865830601
1236a34446320
1317b111525b3
14a9ba6c6d04
155b43671da0
hex337c711e48

221131120200 has 48 divisors (see below), whose sum is σ = 685506474480. Its totient is φ = 58968298560.

The previous prime is 221131120193. The next prime is 221131120279. The reversal of 221131120200 is 2021131122.

221131120200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 221131120200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184275334 + ... + 184276533.

It is an arithmetic number, because the mean of its divisors is an integer number (14281384885).

Almost surely, 2221131120200 is an apocalyptic number.

221131120200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221131120200 is an abundant number, since it is smaller than the sum of its proper divisors (464375354280).

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

221131120200 is a wasteful number, since it uses less digits than its factorization.

221131120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368551886 (or 368551877 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 221131120200 its reverse (2021131122), we get a palindrome (223152251322).

The spelling of 221131120200 in words is "two hundred twenty-one billion, one hundred thirty-one million, one hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 368551867 737103734 1105655601 1474207468 1842759335 2211311202 2948414936 3685518670 4422622404 5528278005 7371037340 8845244808 9213796675 11056556010 14742074680 18427593350 22113112020 27641390025 36855186700 44226224040 55282780050 73710373400 110565560100 221131120200