Search a number
-
+
10120022022 = 23111923831109
BaseRepresentation
bin10010110110011001…
…10100100000000110
3222010021121101101110
421123030310200012
5131211211201042
64352111105450
7505532524245
oct113314644006
928107541343
1010120022022
114323541370
121b65212286
13c53821416
146c008695c
153e36ba09c
hex25b334806

10120022022 has 96 divisors (see below), whose sum is σ = 23385231360. Its totient is φ = 2895071040.

The previous prime is 10120022009. The next prime is 10120022071. The reversal of 10120022022 is 22022002101.

10120022022 is a modest number, since divided by 22022 gives 10120 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 10120021989 and 10120022007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9124804 + ... + 9125912.

It is an arithmetic number, because the mean of its divisors is an integer number (243596160).

Almost surely, 210120022022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10120022022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11692615680).

10120022022 is an abundant number, since it is smaller than the sum of its proper divisors (13265209338).

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

10120022022 is a wasteful number, since it uses less digits than its factorization.

10120022022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1546 (or 1527 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10120022022 its reverse (22022002101), we get a palindrome (32142024123).

The spelling of 10120022022 in words is "ten billion, one hundred twenty million, twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 361 383 418 627 722 766 1083 1109 1149 1254 2166 2218 2298 3327 3971 4213 6654 7277 7942 8426 11913 12199 12639 14554 21071 21831 23826 24398 25278 36597 42142 43662 63213 73194 80047 126426 138263 160094 231781 240141 276526 400349 414789 424747 463562 480282 695343 800698 829578 849494 1201047 1274241 1390686 1520893 2402094 2548482 3041786 4403839 4562679 4672217 8070193 8807678 9125358 9344434 13211517 14016651 16140386 24210579 26423034 28033302 48421158 88772123 153333667 177544246 266316369 306667334 460001001 532632738 920002002 1686670337 3373340674 5060011011 10120022022