Search a number
-
+
10011122220 = 22351122766821
BaseRepresentation
bin10010101001011010…
…11001101000101100
3221211200200200221110
421110231121220230
5131000321402340
64333221032020
7503041064151
oct112455315054
927750620843
1010011122220
114278021330
121b34855610
13c370b2a78
146ad81a228
153d8d58680
hex254b59a2c

10011122220 has 96 divisors (see below), whose sum is σ = 30714598656. Its totient is φ = 2416211200.

The previous prime is 10011122213. The next prime is 10011122243. The reversal of 10011122220 is 2222111001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10011122196 and 10011122205.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116410 + ... + 183230.

It is an arithmetic number, because the mean of its divisors is an integer number (319943736).

Almost surely, 210011122220 is an apocalyptic number.

10011122220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10011122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15357299328).

10011122220 is an abundant number, since it is smaller than the sum of its proper divisors (20703476436).

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

10011122220 is a wasteful number, since it uses less digits than its factorization.

10011122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67071 (or 67069 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10011122220 its reverse (2222111001), we get a palindrome (12233233221).

It can be divided in two parts, 10011 and 122220, that added together give a palindrome (132231).

The spelling of 10011122220 in words is "ten billion, eleven million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 227 330 454 660 681 908 1135 1362 2270 2497 2724 3405 4540 4994 6810 7491 9988 12485 13620 14982 24970 29964 37455 49940 66821 74910 133642 149820 200463 267284 334105 400926 668210 735031 801852 1002315 1336420 1470062 2004630 2205093 2940124 3675155 4009260 4410186 7350310 8820372 11025465 14700620 15168367 22050930 30336734 44101860 45505101 60673468 75841835 91010202 151683670 166852037 182020404 227525505 303367340 333704074 455051010 500556111 667408148 834260185 910102020 1001112222 1668520370 2002224444 2502780555 3337040740 5005561110 10011122220