Search a number
-
+
10212002221221 = 32173137486111971
BaseRepresentation
bin1001010010011010101011…
…0000111100110010100101
31100011020221222210221121200
42110212222300330302211
52314303140032034341
633415155024233113
72102535635446023
oct224465260746245
940136858727550
1010212002221221
113287982033709
12118b1a2a6b799
13590cabc09238
14274399249713
1512a986e25db6
hex949aac3cca5

10212002221221 has 96 divisors (see below), whose sum is σ = 16562698454016. Its totient is φ = 6031501056000.

The previous prime is 10212002221217. The next prime is 10212002221231. The reversal of 10212002221221 is 12212220021201.

It is a happy number.

10212002221221 is a `hidden beast` number, since 1 + 0 + 21 + 200 + 2 + 221 + 221 = 666.

It is not a de Polignac number, because 10212002221221 - 22 = 10212002221217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10212002221194 and 10212002221203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212002221231) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 853055766 + ... + 853067736.

It is an arithmetic number, because the mean of its divisors is an integer number (172528108896).

Almost surely, 210212002221221 is an apocalyptic number.

It is an amenable number.

10212002221221 is a deficient number, since it is larger than the sum of its proper divisors (6350696232795).

10212002221221 is a wasteful number, since it uses less digits than its factorization.

10212002221221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16923 (or 16920 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10212002221221 its reverse (12212220021201), we get a palindrome (22424222242422).

The spelling of 10212002221221 in words is "ten trillion, two hundred twelve billion, two million, two hundred twenty-one thousand, two hundred twenty-one".

Divisors: 1 3 9 17 31 37 51 93 111 153 279 333 527 629 1147 1581 1887 3441 4743 4861 5661 10323 11971 14583 19499 35913 43749 58497 82637 107739 150691 175491 179857 203507 247911 371101 442927 452073 539571 610521 743733 1113303 1328781 1356219 1618713 1831563 2561747 3057569 3339909 3986343 5575567 6308717 7529759 7685241 9172707 13730737 16726701 18926151 22589277 23055723 27518121 41192211 50180103 56778453 58191031 67767831 94784639 123576633 174573093 233422529 284353917 523719279 700267587 853061751 989247527 1803921961 2100802761 2153068147 2967742581 5411765883 6459204441 8903227743 16235297649 19377613323 30666673337 36602158499 66745112557 92000020011 109806475497 200235337671 276000060033 329419426491 600706013013 1134666913469 3404000740407 10212002221221