Search a number
-
+
210111122011212 = 223237947901318481
BaseRepresentation
bin101111110001100001001110…
…110010100111010001001100
31000112221102112100112100210200
4233301201032302213101030
5210014430034213324322
62022511414504533500
762154012321332232
oct5761411662472114
91015842470470720
10210111122011212
1160a47698876074
121b694b39781290
139031517200956
1439c560ad64952
15194571485c8ac
hexbf184eca744c

210111122011212 has 144 divisors (see below), whose sum is σ = 546134793745632. Its totient is φ = 68060954142720.

The previous prime is 210111122011073. The next prime is 210111122011237. The reversal of 210111122011212 is 212110221111012.

It is a happy number.

210111122011212 is a `hidden beast` number, since 210 + 1 + 1 + 11 + 220 + 11 + 212 = 666.

210111122011212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11369025012 + ... + 11369043492.

Almost surely, 2210111122011212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210111122011212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273067396872816).

210111122011212 is an abundant number, since it is smaller than the sum of its proper divisors (336023671734420).

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

210111122011212 is a wasteful number, since it uses less digits than its factorization.

210111122011212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28488 (or 28483 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 210111122011212 its reverse (212110221111012), we get a palindrome (422221343122224).

The spelling of 210111122011212 in words is "two hundred ten trillion, one hundred eleven billion, one hundred twenty-two million, eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 947 1332 1894 2841 3788 5682 8523 9013 11364 17046 18026 18481 27039 34092 35039 36052 36962 54078 55443 70078 73924 81117 105117 108156 110886 140156 162234 166329 210234 221772 315351 324468 332658 333481 420468 630702 665316 666962 683797 1000443 1261404 1333924 1367594 2000886 2051391 2735188 3001329 4001772 4102782 6002658 6154173 8205564 8535311 12005316 12308346 17070622 17501507 24616692 25605933 34141244 35003014 51211866 52504521 70006028 76817799 102423732 105009042 153635598 157513563 166569253 210018084 307271196 315027126 315806507 333138506 499707759 630054252 631613014 647555759 666277012 947419521 999415518 1263226028 1295111518 1499123277 1894839042 1942667277 1998831036 2590223036 2842258563 2998246554 3789678084 3885334554 5684517126 5828001831 5996493108 6163062361 7770669108 11369034252 11656003662 12326124722 18489187083 23312007324 24652249444 36978374166 55467561249 73956748332 110935122498 157741082591 221870244996 315482165182 473223247773 630964330364 946446495546 1419669743319 1892892991092 2839339486638 5678678973276 5836420055867 11672840111734 17509260167601 23345680223468 35018520335202 52527780502803 70037040670404 105055561005606 210111122011212