Search a number
-
+
211222321412140 = 22540126336947807
BaseRepresentation
bin110000000001101100000111…
…011011111011100000101100
31000200212122201202020122102101
4300001230013123323200230
5210141131303240142030
62025122110032304444
762330211013363363
oct6001540733734054
91020778652218371
10211222321412140
1161335979978805
121b8343740a2124
1390b224430ac7c
143a233019a67da
15196459d6397ca
hexc01b076fb82c

211222321412140 has 24 divisors (see below), whose sum is σ = 444673026790272. Its totient is φ = 84278232979200.

The previous prime is 211222321412077. The next prime is 211222321412143. The reversal of 211222321412140 is 41214123222112.

It is a happy number.

It is a super-2 number, since 2×2112223214121402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211222321412099 and 211222321412108.

It is not an unprimeable number, because it can be changed into a prime (211222321412143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13168465884 + ... + 13168481923.

It is an arithmetic number, because the mean of its divisors is an integer number (18528042782928).

Almost surely, 2211222321412140 is an apocalyptic number.

211222321412140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211222321412140 is an abundant number, since it is smaller than the sum of its proper divisors (233450705378132).

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

211222321412140 is a wasteful number, since it uses less digits than its factorization.

211222321412140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26336948217 (or 26336948215 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 211222321412140 its reverse (41214123222112), we get a palindrome (252436444634252).

The spelling of 211222321412140 in words is "two hundred eleven trillion, two hundred twenty-two billion, three hundred twenty-one million, four hundred twelve thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 401 802 1604 2005 4010 8020 26336947807 52673895614 105347791228 131684739035 263369478070 526738956140 10561116070607 21122232141214 42244464282428 52805580353035 105611160706070 211222321412140