Search a number
-
+
212221001120 = 2553169941843
BaseRepresentation
bin1100010110100101011…
…0110111110110100000
3202021210001020212101112
43011221112313312200
511434112034013440
6241254252322452
721222014513612
oct3055126676640
9667701225345
10212221001120
118200324a227
1235168473428
13170211b1c9b
14a3b31cadb2
1557c12eb965
hex31695b7da0

212221001120 has 48 divisors (see below), whose sum is σ = 501399914400. Its totient is φ = 84883693824.

The previous prime is 212221001119. The next prime is 212221001171. The reversal of 212221001120 is 21100122212.

212221001120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 212221001095 and 212221001104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5050919 + ... + 5092761.

It is an arithmetic number, because the mean of its divisors is an integer number (10445831550).

Almost surely, 2212221001120 is an apocalyptic number.

212221001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212221001120 is an abundant number, since it is smaller than the sum of its proper divisors (289178913280).

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

212221001120 is a wasteful number, since it uses less digits than its factorization.

212221001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73557 (or 73549 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212221001120 its reverse (21100122212), we get a palindrome (233321123332).

The spelling of 212221001120 in words is "two hundred twelve billion, two hundred twenty-one million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 31699 41843 63398 83686 126796 158495 167372 209215 253592 316990 334744 418430 507184 633980 669488 836860 1014368 1267960 1338976 1673720 2535920 3347440 5071840 6694880 1326381257 2652762514 5305525028 6631906285 10611050056 13263812570 21222100112 26527625140 42444200224 53055250280 106110500560 212221001120