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221201021200200 = 23352368668368667
BaseRepresentation
bin110010010010111001100000…
…010010101110011101001000
31002000012121111111101000112020
4302102321200102232131020
5212443124142411401300
62102242202444044440
764410150341161506
oct6222714022563510
91060177444330466
10221201021200200
116453290a850288
12209862a6533720
1396572225ab292
143c8a287c75676
151a88e2d5cd8a0
hexc92e604ae748

221201021200200 has 48 divisors (see below), whose sum is σ = 685723165722480. Its totient is φ = 58986938986560.

The previous prime is 221201021200199. The next prime is 221201021200267. The reversal of 221201021200200 is 2002120102122.

It is a super-3 number, since 3×2212010212002003 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 221201021200200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184334183734 + ... + 184334184933.

It is an arithmetic number, because the mean of its divisors is an integer number (14285899285885).

Almost surely, 2221201021200200 is an apocalyptic number.

221201021200200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221201021200200 is an abundant number, since it is smaller than the sum of its proper divisors (464522144522280).

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

221201021200200 is a wasteful number, since it uses less digits than its factorization.

221201021200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368668368686 (or 368668368677 counting only the distinct ones).

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

Adding to 221201021200200 its reverse (2002120102122), we get a palindrome (223203141302322).

The spelling of 221201021200200 in words is "two hundred twenty-one trillion, two hundred one billion, twenty-one million, two hundred 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 368668368667 737336737334 1106005106001 1474673474668 1843341843335 2212010212002 2949346949336 3686683686670 4424020424004 5530025530005 7373367373340 8848040848008 9216709216675 11060051060010 14746734746680 18433418433350 22120102120020 27650127650025 36866836866700 44240204240040 55300255300050 73733673733400 110600510600100 221201021200200