Search a number
-
+
22211211120021 = 32711312933528659
BaseRepresentation
bin1010000110011011100110…
…10110010100110110010101
32220122101000111021221120200
411003031303112110312111
510402402030021320041
6115123404534251113
74451464342310040
oct503156326246625
986571014257520
1022211211120021
1170937a36a5470
1225a88217b6a99
13c5167b7404b1
1456b057b37c57
15287b7067b1b6
hex143373594d95

22211211120021 has 96 divisors (see below), whose sum is σ = 41430646333440. Its totient is φ = 11127975868800.

The previous prime is 22211211120017. The next prime is 22211211120037. The reversal of 22211211120021 is 12002111211222.

22211211120021 is a `hidden beast` number, since 22 + 211 + 211 + 1 + 200 + 21 = 666.

It is not a de Polignac number, because 22211211120021 - 22 = 22211211120017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22211211119976 and 22211211120003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22211211120071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4530190 + ... + 8058848.

It is an arithmetic number, because the mean of its divisors is an integer number (431569232640).

Almost surely, 222211211120021 is an apocalyptic number.

22211211120021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22211211120021 is a deficient number, since it is larger than the sum of its proper divisors (19219435213419).

22211211120021 is a wasteful number, since it uses less digits than its factorization.

22211211120021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3529007 (or 3529004 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 22211211120021 its reverse (12002111211222), we get a palindrome (34213322331243).

The spelling of 22211211120021 in words is "twenty-two trillion, two hundred eleven billion, two hundred eleven million, one hundred twenty thousand, twenty-one".

Divisors: 1 3 7 9 11 21 31 33 63 77 93 99 217 231 279 293 341 651 693 879 1023 1953 2051 2387 2637 3069 3223 6153 7161 9083 9669 18459 21483 22561 27249 29007 63581 67683 81747 99913 190743 203049 299739 572229 699391 899217 2098173 3528659 6294519 10585977 24700613 31757931 38815249 74101839 109388429 116445747 222305517 271706743 328165287 349337241 765719003 815120229 984495861 1033897087 1203272719 2297157009 2445360687 3101691261 3609818157 6891471027 7237279609 8422909033 9305073783 10829454471 11372867957 21711838827 25268727099 32050809697 34118603871 65135516481 75806181297 79610075699 96152429091 102355811613 224355667879 238830227097 288457287273 352558906667 673067003637 716490681291 1057676720001 2019201010911 2467912346669 3173030160003 7403737040007 22211211120021