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221021242120122 = 23232531313866451
BaseRepresentation
bin110010010000010010000100…
…100111111101011110111010
31001222120102110101022111102220
4302100102010213331132322
5212432203000440320442
62102023431254304510
764361154264206013
oct6220220447753672
91058512411274386
10221021242120122
116447364518a554
1220957492958136
1396432a16670a2
143c816b154600a
151a8440a4b2eec
hexc904849fd7ba

221021242120122 has 48 divisors (see below), whose sum is σ = 470816159875488. Its totient is φ = 69140908064800.

The previous prime is 221021242120043. The next prime is 221021242120169.

221021242120122 is nontrivially palindromic in base 10.

221021242120122 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 221021242120092 and 221021242120101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 656765004 + ... + 657101447.

It is an arithmetic number, because the mean of its divisors is an integer number (9808669997406).

Almost surely, 2221021242120122 is an apocalyptic number.

221021242120122 is an abundant number, since it is smaller than the sum of its proper divisors (249794917755366).

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

221021242120122 is a wasteful number, since it uses less digits than its factorization.

221021242120122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313866555 (or 1313866532 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The spelling of 221021242120122 in words is "two hundred twenty-one trillion, twenty-one billion, two hundred forty-two million, one hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 23 46 53 69 106 138 159 318 529 1058 1219 1587 2438 3174 3657 7314 28037 56074 84111 168222 1313866451 2627732902 3941599353 7883198706 30218928373 60437856746 69634921903 90656785119 139269843806 181313570238 208904765709 417809531418 695035352579 1390070705158 1601603203769 2085106057737 3203206407538 4170212115474 4804809611307 9609619222614 36836873686687 73673747373374 110510621060061 221021242120122