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2232020221101 = 3211191607738403
BaseRepresentation
bin100000011110101110110…
…001011011110010101101
321220101020022211022012100
4200132232301123302231
5243032134134033401
64425213111325313
7320154353562246
oct40365661336255
97811208738170
102232020221101
1179065a254030
123006b7080839
1313262b652928
147a05d419ccd
153d0d75d4b86
hex207aec5bcad

2232020221101 has 48 divisors (see below), whose sum is σ = 3704543331840. Its totient is φ = 1280743500960.

The previous prime is 2232020221073. The next prime is 2232020221141. The reversal of 2232020221101 is 1011220202322.

2232020221101 is a `hidden beast` number, since 2 + 2 + 320 + 20 + 221 + 101 = 666.

It is not a de Polignac number, because 2232020221101 - 25 = 2232020221069 is a prime.

It is a super-4 number, since 4×22320202211014 (a number of 50 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2232020221141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2653566 + ... + 3391968.

It is an arithmetic number, because the mean of its divisors is an integer number (77177986080).

Almost surely, 22232020221101 is an apocalyptic number.

It is an amenable number.

2232020221101 is a deficient number, since it is larger than the sum of its proper divisors (1472523110739).

2232020221101 is a wasteful number, since it uses less digits than its factorization.

2232020221101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740046 (or 740043 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2232020221101 its reverse (1011220202322), we get a palindrome (3243240423423).

The spelling of 2232020221101 in words is "two trillion, two hundred thirty-two billion, twenty million, two hundred twenty-one thousand, one hundred one".

Divisors: 1 3 9 11 19 33 57 99 171 209 627 1607 1881 4821 14463 17677 30533 53031 91599 159093 274797 335863 738403 1007589 2215209 3022767 6645627 8122433 14029657 24367299 42088971 73101897 126266913 154326227 462978681 1186613621 1388936043 3559840863 10679522589 13052749831 22545658799 39158249493 67636976397 117474748479 202910929191 248002246789 744006740367 2232020221101