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2221121000320 = 27519182657977
BaseRepresentation
bin100000010100100101001…
…000001101001110000000
321212100002202000112001121
4200110211020031032000
5242342323434002240
64420211403242024
7316320306665335
oct40244510151600
97770082015047
102221121000320
11786a7699a152
122ba574b19314
131315b2582671
1479707aa098c
153cb9a80104a
hex2052520d380

2221121000320 has 64 divisors (see below), whose sum is σ = 5589334126800. Its totient is φ = 841687953408.

The previous prime is 2221121000311. The next prime is 2221121000321. The reversal of 2221121000320 is 230001211222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2221121000294 and 2221121000303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221121000321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91316829 + ... + 91341148.

Almost surely, 22221121000320 is an apocalyptic number.

2221121000320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2221121000320 is an abundant number, since it is smaller than the sum of its proper divisors (3368213126480).

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

2221121000320 is a wasteful number, since it uses less digits than its factorization.

2221121000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182658015 (or 182658003 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 2221121000320 its reverse (230001211222), we get a palindrome (2451122211542).

The spelling of 2221121000320 in words is "two trillion, two hundred twenty-one billion, one hundred twenty-one million, three hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 304 320 380 608 640 760 1216 1520 2432 3040 6080 12160 182657977 365315954 730631908 913289885 1461263816 1826579770 2922527632 3470501563 3653159540 5845055264 6941003126 7306319080 11690110528 13882006252 14612638160 17352507815 23380221056 27764012504 29225276320 34705015630 55528025008 58450552640 69410031260 111056050016 116901105280 138820062520 222112100032 277640125040 444224200064 555280250080 1110560500160 2221121000320