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221121010210120 = 23540042913805257
BaseRepresentation
bin110010010001101110111111…
…010001000001010101001000
31001222220221222101120120222021
4302101232333101001111020
5212440321312103210440
62102141331214534224
764401315524035036
oct6221567721012510
91058827871516867
10221121010210120
1164501991718199
1220972896b07374
13964c8110c9077
143c86457879556
151a86ce918d84a
hexc91bbf441548

221121010210120 has 32 divisors (see below), whose sum is σ = 497523551484600. Its totient is φ = 88448176793088.

The previous prime is 221121010210081. The next prime is 221121010210127. The reversal of 221121010210120 is 21012010121122.

It can be written as a sum of positive squares in 4 ways, for example, as 125738949102244 + 95382061107876 = 11213338^2 + 9766374^2 .

It is a junction number, because it is equal to n+sod(n) for n = 221121010210094 and 221121010210103.

It is not an unprimeable number, because it can be changed into a prime (221121010210127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9114532 + ... + 22919788.

Almost surely, 2221121010210120 is an apocalyptic number.

221121010210120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221121010210120 is an abundant number, since it is smaller than the sum of its proper divisors (276402541274480).

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

221121010210120 is a wasteful number, since it uses less digits than its factorization.

221121010210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14205697 (or 14205693 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 221121010210120 its reverse (21012010121122), we get a palindrome (242133020331242).

The spelling of 221121010210120 in words is "two hundred twenty-one trillion, one hundred twenty-one billion, ten million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 400429 800858 1601716 2002145 3203432 4004290 8008580 13805257 16017160 27610514 55221028 69026285 110442056 138052570 276105140 552210280 5528025255253 11056050510506 22112101021012 27640126276265 44224202042024 55280252552530 110560505105060 221121010210120