Search a number
-
+
22101013222321 = 1117317657756687
BaseRepresentation
bin1010000011001110010110…
…00010101101001110110001
32220020211120121111201121011
411001213023002231032301
510344100333341103241
6115001022035030521
74440513465526255
oct501471302551661
986224517451534
1022101013222321
117050a94878940
12258b3a873b441
13c44169244177
145659a255c265
15284d70ee2281
hex1419cb0ad3b1

22101013222321 has 32 divisors (see below), whose sum is σ = 25613319992832. Its totient is φ = 18847106396160.

The previous prime is 22101013222217. The next prime is 22101013222331. The reversal of 22101013222321 is 12322231010122.

It is a cyclic number.

It is not a de Polignac number, because 22101013222321 - 215 = 22101013189553 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22101013222292 and 22101013222301.

It is not an unprimeable number, because it can be changed into a prime (22101013222331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 389849640 + ... + 389906326.

It is an arithmetic number, because the mean of its divisors is an integer number (800416249776).

Almost surely, 222101013222321 is an apocalyptic number.

It is an amenable number.

22101013222321 is a deficient number, since it is larger than the sum of its proper divisors (3512306770511).

22101013222321 is a wasteful number, since it uses less digits than its factorization.

22101013222321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63609.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 22101013222321 its reverse (12322231010122), we get a palindrome (34423244232443).

The spelling of 22101013222321 in words is "twenty-two trillion, one hundred one billion, thirteen million, two hundred twenty-two thousand, three hundred twenty-one".

Divisors: 1 11 17 187 317 3487 5389 6577 56687 59279 72347 111809 623557 963679 1229899 2084909 10600469 17969779 22933999 35443453 197667569 305486243 372830399 389877983 3360348673 4101134389 6338116783 69719284613 118187236483 1300059601313 2009183020211 22101013222321