Search a number
-
+
210012022212120 = 233251513863355817
BaseRepresentation
bin101111110000000100111011…
…111110111000011000011000
31000112120221201220202222001100
4233300010323332320120120
5210011314110141241440
62022354105140151400
762143603455050202
oct5760047376703030
91015527656688040
10210012022212120
1160a0966459a267
121b6798a1398560
13902508305818b
1439c08c96b3772
151942d6468e230
hexbf013bfb8618

210012022212120 has 96 divisors (see below), whose sum is σ = 687059198673120. Its totient is φ = 55632323750400.

The previous prime is 210012022212101. The next prime is 210012022212149. The reversal of 210012022212120 is 21212220210012.

It is a happy number.

210012022212120 is a `hidden beast` number, since 210 + 0 + 1 + 20 + 2 + 221 + 212 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 210012022212093 and 210012022212102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1931623549 + ... + 1931732268.

It is an arithmetic number, because the mean of its divisors is an integer number (7156866652845).

Almost surely, 2210012022212120 is an apocalyptic number.

210012022212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210012022212120 is an abundant number, since it is smaller than the sum of its proper divisors (477047176461000).

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

210012022212120 is a wasteful number, since it uses less digits than its factorization.

210012022212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3863355985 (or 3863355978 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 210012022212120 its reverse (21212220210012), we get a palindrome (231224242422132).

The spelling of 210012022212120 in words is "two hundred ten trillion, twelve billion, twenty-two million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 151 180 302 360 453 604 755 906 1208 1359 1510 1812 2265 2718 3020 3624 4530 5436 6040 6795 9060 10872 13590 18120 27180 54360 3863355817 7726711634 11590067451 15453423268 19316779085 23180134902 30906846536 34770202353 38633558170 46360269804 57950337255 69540404706 77267116340 92720539608 115900674510 139080809412 154534232680 173851011765 231801349020 278161618824 347702023530 463602698040 583366728367 695404047060 1166733456734 1390808094120 1750100185101 2333466913468 2916833641835 3500200370202 4666933826936 5250300555303 5833667283670 7000400740404 8750500925505 10500601110606 11667334567340 14000801480808 17501001851010 21001202221212 23334669134680 26251502776515 35002003702020 42002404442424 52503005553030 70004007404040 105006011106060 210012022212120