Search a number
-
+
212112111112220 = 225112671321990313
BaseRepresentation
bin110000001110101000110011…
…000010010001000000011100
31000211000201102201112202021102
4300032220303002101000130
5210300221100421042340
62031042543021452232
762451410564135564
oct6016506302210034
91024021381482242
10212112111112220
1161649271a76100
121b9588b8a11078
139148117657397
143a543d0d25da4
15197c7c95b7215
hexc0ea3309101c

212112111112220 has 144 divisors (see below), whose sum is σ = 497295143383584. Its totient is φ = 75922863667200.

The previous prime is 212112111112207. The next prime is 212112111112277. The reversal of 212112111112220 is 22211111211212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 212112111112192 and 212112111112201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213691784 + ... + 214682096.

Almost surely, 2212112111112220 is an apocalyptic number.

212112111112220 is a gapful number since it is divisible by the number (20) 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 212112111112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248647571691792).

212112111112220 is an abundant number, since it is smaller than the sum of its proper divisors (285183032271364).

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

212112111112220 is a wasteful number, since it uses less digits than its factorization.

212112111112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991732 (or 991719 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 212112111112220 its reverse (22211111211212), we get a palindrome (234323222323432).

The spelling of 212112111112220 in words is "two hundred twelve trillion, one hundred twelve billion, one hundred eleven million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 67 110 121 134 220 242 268 335 484 605 670 737 1210 1321 1340 1474 2420 2642 2948 3685 5284 6605 7370 8107 13210 14531 14740 16214 26420 29062 32428 40535 58124 72655 81070 88507 145310 159841 162140 177014 290620 319682 354028 442535 639364 799205 885070 973577 990313 1598410 1770140 1947154 1980626 3196820 3894308 3961252 4867885 4951565 9735770 9903130 10709347 10893443 19471540 19806260 21418694 21786886 42837388 43573772 53546735 54467215 66350971 107093470 108934430 119827873 132701942 214186940 217868860 239655746 265403884 331754855 479311492 599139365 663509710 729860681 1198278730 1308203473 1327019420 1459721362 2396557460 2616406946 2919442724 3649303405 5232813892 6541017365 7298606810 8028467491 13082034730 14390238203 14597213620 16056934982 26164069460 28780476406 32113869964 40142337455 57560952812 71951191015 80284674910 87649632691 143902382030 158292620233 160569349820 175299265382 287804764060 316585240466 350598530764 438248163455 633170480932 791463101165 876496326910 964145959601 1582926202330 1752992653820 1928291919202 3165852404660 3856583838404 4820729798005 9641459596010 10605605555611 19282919192020 21211211111222 42422422222444 53028027778055 106056055556110 212112111112220