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221221101012 = 223293717180887
BaseRepresentation
bin1100111000000111001…
…1100001110111010100
3210011000021112022102120
43032001303201313110
512111030100213022
6245343315535540
721661031222112
oct3160163416724
9704007468376
10221221101012
11859015a950a
1236a5a5ba5b0
1317b26998892
14a9c862aab2
155b4b4e7d5c
hex3381ce1dd4

221221101012 has 48 divisors (see below), whose sum is σ = 548413944960. Its totient is φ = 69273332352.

The previous prime is 221221100987. The next prime is 221221101029. The reversal of 221221101012 is 210101122122.

221221101012 is digitally balanced in base 2, because in such base 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 = 221221100982 and 221221101000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8577568 + ... + 8603319.

It is an arithmetic number, because the mean of its divisors is an integer number (11425290520).

Almost surely, 2221221101012 is an apocalyptic number.

It is an amenable number.

221221101012 is an abundant number, since it is smaller than the sum of its proper divisors (327192843948).

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

221221101012 is a wasteful number, since it uses less digits than its factorization.

221221101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17180960 (or 17180958 counting only the distinct ones).

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

Adding to 221221101012 its reverse (210101122122), we get a palindrome (431322223134).

The spelling of 221221101012 in words is "two hundred twenty-one billion, two hundred twenty-one million, one hundred one thousand, twelve".

Divisors: 1 2 3 4 6 12 29 37 58 74 87 111 116 148 174 222 348 444 1073 2146 3219 4292 6438 12876 17180887 34361774 51542661 68723548 103085322 206170644 498245723 635692819 996491446 1271385638 1494737169 1907078457 1992982892 2542771276 2989474338 3814156914 5978948676 7628313828 18435091751 36870183502 55305275253 73740367004 110610550506 221221101012