Search a number
-
+
220101101022 = 231137101892391
BaseRepresentation
bin1100110011111100001…
…1000100010111011110
3210001010020001102021110
43030333003010113132
512101231340213042
6245040230242450
721621211330035
oct3147703042736
9701106042243
10220101101022
1185387373990
12367a74b6426
13179a89347aa
14a91d9a371c
155ad301109c
hex333f0c45de

220101101022 has 64 divisors (see below), whose sum is σ = 498083240448. Its totient is φ = 64252080000.

The previous prime is 220101101009. The next prime is 220101101023.

220101101022 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 220101100989 and 220101101007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220101101023) 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, 199554 + ... + 692837.

It is an arithmetic number, because the mean of its divisors is an integer number (7782550632).

Almost surely, 2220101101022 is an apocalyptic number.

220101101022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

220101101022 is an abundant number, since it is smaller than the sum of its proper divisors (277982139426).

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

220101101022 is a wasteful number, since it uses less digits than its factorization.

220101101022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892545.

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

It can be divided in two parts, 220101 and 101022, that added together give a palindrome (321123).

The spelling of 220101101022 in words is "two hundred twenty billion, one hundred one million, one hundred one thousand, twenty-two".

Divisors: 1 2 3 6 11 22 33 37 66 74 101 111 202 222 303 407 606 814 1111 1221 2222 2442 3333 3737 6666 7474 11211 22422 41107 82214 123321 246642 892391 1784782 2677173 5354346 9816301 19632602 29448903 33018467 58897806 66036934 90131491 99055401 180262982 198110802 270394473 363203137 540788946 726406274 991446401 1089609411 1982892802 2179218822 2974339203 3334865167 5948678406 6669730334 10004595501 20009191002 36683516837 73367033674 110050550511 220101101022