Search a number
-
+
220022100012 = 2231113130798101
BaseRepresentation
bin1100110011101001010…
…1101101000000101100
3210000220201101202021010
43030322111231000230
512101101124200022
6245024325105220
721616231664301
oct3147225550054
9700821352233
10220022100012
11853468152a0
1236784b58210
1317995464030
14a9132bb0a8
155acb10850c
hex333a56d02c

220022100012 has 96 divisors (see below), whose sum is σ = 603605124864. Its totient is φ = 61496928000.

The previous prime is 220022099993. The next prime is 220022100029. The reversal of 220022100012 is 210001220022.

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

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, 2193762 + ... + 2291862.

It is an arithmetic number, because the mean of its divisors is an integer number (6287553384).

Almost surely, 2220022100012 is an apocalyptic number.

220022100012 is a gapful number since it is divisible by the number (22) 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 220022100012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301802562432).

220022100012 is an abundant number, since it is smaller than the sum of its proper divisors (383583024852).

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

220022100012 is a wasteful number, since it uses less digits than its factorization.

220022100012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99439 (or 99437 counting only the distinct ones).

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

Adding to 220022100012 its reverse (210001220022), we get a palindrome (430023320034).

The spelling of 220022100012 in words is "two hundred twenty billion, twenty-two million, one hundred thousand, twelve".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 429 572 858 1307 1716 2614 3921 5228 7842 14377 15684 16991 28754 33982 43131 50973 57508 67964 86262 98101 101946 172524 186901 196202 203892 294303 373802 392404 560703 588606 747604 1079111 1121406 1177212 1275313 2158222 2242812 2550626 3237333 3825939 4316444 5101252 6474666 7651878 12949332 14028443 15303756 28056886 42085329 56113772 84170658 128218007 168341316 256436014 384654021 512872028 769308042 1410398077 1538616084 1666834091 2820796154 3333668182 4231194231 5000502273 5641592308 6667336364 8462388462 10001004546 16924776924 18335175001 20002009092 36670350002 55005525003 73340700004 110011050006 220022100012