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221120002120101 = 37139261892892511
BaseRepresentation
bin110010010001101110000011…
…001011011101100110100101
31001222220212101010200022102220
4302101232003023131212211
5212440312231020320401
62102141043204022553
764401251533311060
oct6221560313354645
91058825333608386
10221120002120101
1164501514679247
1220972655391a59
13964c6b02b87b6
143c8639da238d7
151a86c8a910336
hexc91b832dd9a5

221120002120101 has 32 divisors (see below), whose sum is σ = 339381903974400. Its totient is φ = 125440429913280.

The previous prime is 221120002120079. The next prime is 221120002120159. The reversal of 221120002120101 is 101021200021122.

221120002120101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 221120002120101 - 223 = 221119993731493 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221120002122101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74999436 + ... + 77891946.

It is an arithmetic number, because the mean of its divisors is an integer number (10605684499200).

Almost surely, 2221120002120101 is an apocalyptic number.

221120002120101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

221120002120101 is a deficient number, since it is larger than the sum of its proper divisors (118261901854299).

221120002120101 is a wasteful number, since it uses less digits than its factorization.

221120002120101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2918849.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 221120002120101 its reverse (101021200021122), we get a palindrome (322141202141223).

The spelling of 221120002120101 in words is "two hundred twenty-one trillion, one hundred twenty billion, two million, one hundred twenty thousand, one hundred one".

Divisors: 1 3 7 21 139 417 973 2919 26189 78567 183323 549969 2892511 3640271 8677533 10920813 20247577 25481897 60742731 76445691 402059029 1206177087 2814413203 8443239609 75751970579 227255911737 530263794053 1590791382159 10529523910481 31588571731443 73706667373367 221120002120101