Search a number
-
+
22111100320212 = 22323171279053717
BaseRepresentation
bin1010000011100001001000…
…10001111011100111010100
32220021210121121011101120100
411001300210101323213110
510344232013140221322
6115005411012334100
74441321451456031
oct501604421734724
986253547141510
1022111100320212
1170552a0771882
122591342914330
13c450b5ca8647
1456627c0b4388
15285261856dac
hex141c2447b9d4

22111100320212 has 72 divisors (see below), whose sum is σ = 58507518730752. Its totient is φ = 7032153643200.

The previous prime is 22111100320087. The next prime is 22111100320217. The reversal of 22111100320212 is 21202300111122.

22111100320212 is a `hidden beast` number, since 2 + 21 + 1 + 110 + 0 + 320 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22111100320217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139447623 + ... + 139606094.

It is an arithmetic number, because the mean of its divisors is an integer number (812604426816).

Almost surely, 222111100320212 is an apocalyptic number.

It is an amenable number.

22111100320212 is an abundant number, since it is smaller than the sum of its proper divisors (36396418410540).

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

22111100320212 is a wasteful number, since it uses less digits than its factorization.

22111100320212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279053829 (or 279053824 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 22111100320212 its reverse (21202300111122), we get a palindrome (43313400431334).

The spelling of 22111100320212 in words is "twenty-two trillion, one hundred eleven billion, one hundred million, three hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 71 93 124 142 186 213 279 284 372 426 558 639 852 1116 1278 2201 2556 4402 6603 8804 13206 19809 26412 39618 79236 279053717 558107434 837161151 1116214868 1674322302 2511483453 3348644604 5022966906 8650665227 10045933812 17301330454 19812813907 25951995681 34602660908 39625627814 51903991362 59438441721 77855987043 79251255628 103807982724 118876883442 155711974086 178315325163 237753766884 311423948172 356630650326 614197231117 713261300652 1228394462234 1842591693351 2456788924468 3685183386702 5527775080053 7370366773404 11055550160106 22111100320212