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2201221330112 = 2672733957599
BaseRepresentation
bin100000000010000011000…
…000111111010011000000
321210102201220021112102002
4200002003000333103000
5242031100130030422
64403121020243132
7315014213406200
oct40020300772300
97712656245362
102201221330112
11779595067412
122b67406a04a8
1312c76090568c
147877ac54400
153c3d37a2692
hex2008303f4c0

2201221330112 has 84 divisors (see below), whose sum is σ = 5088136737600. Its totient is φ = 942092573184.

The previous prime is 2201221330073. The next prime is 2201221330157. The reversal of 2201221330112 is 2110331221022.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1819889 + ... + 2777487.

It is an arithmetic number, because the mean of its divisors is an integer number (60573056400).

Almost surely, 22201221330112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2201221330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2544068368800).

2201221330112 is an abundant number, since it is smaller than the sum of its proper divisors (2886915407488).

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

2201221330112 is an equidigital number, since it uses as much as digits as its factorization.

2201221330112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958358 (or 958341 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 2201221330112 its reverse (2110331221022), we get a palindrome (4311552551134).

The spelling of 2201221330112 in words is "two trillion, two hundred one billion, two hundred twenty-one million, three hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 733 784 1466 1568 2932 3136 5131 5864 10262 11728 20524 23456 35917 41048 46912 71834 82096 143668 164192 287336 328384 574672 957599 1149344 1915198 2298688 3830396 6703193 7660792 13406386 15321584 26812772 30643168 46922351 53625544 61286336 93844702 107251088 187689404 214502176 375378808 429004352 701920067 750757616 1403840134 1501515232 2807680268 3003030464 4913440469 5615360536 9826880938 11230721072 19653761876 22461442144 34394083283 39307523752 44922884288 68788166566 78615047504 137576333132 157230095008 275152666264 314460190016 550305332528 1100610665056 2201221330112