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221003242300122 = 23372819293813499
BaseRepresentation
bin110010010000000001010011…
…110000000110001011011010
31001222111200222221110220022220
4302100001103300012023122
5212431404120012100442
62102011253215524510
764356646240233462
oct6220012360061332
91058450887426286
10221003242300122
1164466a48810357
1220953aaa829736
13964169349a719
143c80884b64ba2
151a83c05142eec
hexc90053c062da

221003242300122 has 64 divisors (see below), whose sum is σ = 456058600560000. Its totient is φ = 71344751063040.

The previous prime is 221003242300111. The next prime is 221003242300123.

221003242300122 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2210032423001222 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221003242300092 and 221003242300101.

It is not an unprimeable number, because it can be changed into a prime (221003242300123) 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, 56046129 + ... + 59859627.

It is an arithmetic number, because the mean of its divisors is an integer number (7125915633750).

Almost surely, 2221003242300122 is an apocalyptic number.

221003242300122 is an abundant number, since it is smaller than the sum of its proper divisors (235055358259878).

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

221003242300122 is a wasteful number, since it uses less digits than its factorization.

221003242300122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3814751.

The product of its (nonzero) digits is 2304, while the sum is 24.

The spelling of 221003242300122 in words is "two hundred twenty-one trillion, three billion, two hundred forty-two million, three hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 37 74 111 222 281 562 843 929 1686 1858 2787 5574 10397 20794 31191 34373 62382 68746 103119 206238 261049 522098 783147 1566294 3813499 7626998 9658813 11440497 19317626 22880994 28976439 57952878 141099463 282198926 423298389 846596778 1071593219 2143186438 3214779657 3542740571 6429559314 7085481142 10628221713 21256443426 39648949103 79297898206 118946847309 131081401127 237893694618 262162802254 393244203381 786488406762 995510100451 1991020200902 2986530301353 5973060602706 36833873716687 73667747433374 110501621150061 221003242300122