Search a number
-
+
2201222101221 = 32111317239342043
BaseRepresentation
bin100000000010000011000…
…011111011100011100101
321210102201221201201011200
4200002003003323203211
5242031100324214341
64403121044553113
7315014223100263
oct40020303734345
97712657651150
102201222101221
117795955437a0
122b67409b2799
1312c760b15660
147877adb5433
153c3d38a5db6
hex200830fb8e5

2201222101221 has 96 divisors (see below), whose sum is σ = 3956883944832. Its totient is φ = 1158502625280.

The previous prime is 2201222101217. The next prime is 2201222101229. The reversal of 2201222101221 is 1221012221022.

It is a happy number.

2201222101221 is a `hidden beast` number, since 220 + 1 + 2 + 221 + 0 + 1 + 221 = 666.

It is not a de Polignac number, because 2201222101221 - 22 = 2201222101217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2201222101194 and 2201222101203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201222101229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52335426 + ... + 52377468.

It is an arithmetic number, because the mean of its divisors is an integer number (41217541092).

Almost surely, 22201222101221 is an apocalyptic number.

It is an amenable number.

2201222101221 is a deficient number, since it is larger than the sum of its proper divisors (1755661843611).

2201222101221 is a wasteful number, since it uses less digits than its factorization.

2201222101221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44483 (or 44480 counting only the distinct ones).

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

Adding to 2201222101221 its reverse (1221012221022), we get a palindrome (3422234322243).

The spelling of 2201222101221 in words is "two trillion, two hundred one billion, two hundred twenty-two million, one hundred one thousand, two hundred twenty-one".

Divisors: 1 3 9 11 13 17 33 39 51 99 117 143 153 187 221 429 561 663 1287 1683 1989 2393 2431 7179 7293 21537 21879 26323 31109 40681 42043 78969 93327 122043 126129 236907 279981 342199 366129 378387 447491 462473 528853 546559 714731 1026597 1342473 1387419 1586559 1639677 2144193 3079791 4027419 4162257 4759677 4919031 5817383 6012149 6432579 7862041 9291503 17452149 18036447 23586123 27874509 52356447 54109341 70758369 83623527 100608899 102206533 301826697 306619599 905480091 919858797 1106697889 1307915687 1710351283 3320093667 3923747061 5131053849 9960281001 11771241183 14387072557 15393161547 18813864113 22234566679 43161217671 56441592339 66703700037 129483653013 169324777017 200111100111 244580233469 733740700407 2201222101221