Search a number
-
+
10222221102 = 2337475871669
BaseRepresentation
bin10011000010100101…
…01011011100101110
3222101101220122011120
421201102223130232
5131413342033402
64410201401410
7511213305612
oct114122533456
928341818146
1010222221102
1143761a5015
121b93499266
13c6ba54b52
146cd88b342
153ec6563bc
hex2614ab72e

10222221102 has 64 divisors (see below), whose sum is σ = 21493140480. Its totient is φ = 3237307776.

The previous prime is 10222221067. The next prime is 10222221109. The reversal of 10222221102 is 20112222201.

10222221102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222221109) 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 31 ways as a sum of consecutive naturals, for example, 6123924 + ... + 6125592.

It is an arithmetic number, because the mean of its divisors is an integer number (335830320).

Almost surely, 210222221102 is an apocalyptic number.

10222221102 is an abundant number, since it is smaller than the sum of its proper divisors (11270919378).

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

10222221102 is a wasteful number, since it uses less digits than its factorization.

10222221102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2345.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10222221102 its reverse (20112222201), we get a palindrome (30334443303).

The spelling of 10222221102 in words is "ten billion, two hundred twenty-two million, two hundred twenty-one thousand, one hundred two".

Divisors: 1 2 3 6 37 47 74 94 111 141 222 282 587 1174 1669 1739 1761 3338 3478 3522 5007 5217 10014 10434 21719 27589 43438 55178 61753 65157 78443 82767 123506 130314 156886 165534 185259 235329 370518 470658 979703 1020793 1959406 2041586 2902391 2939109 3062379 5804782 5878218 6124758 8707173 17414346 36249011 46046041 72498022 92092082 108747033 138138123 217494066 276276246 1703703517 3407407034 5111110551 10222221102