Search a number
-
+
22021112201120 = 255532596829269
BaseRepresentation
bin1010000000111001100001…
…00100011111111110100000
32212222012100011122021222122
411000130300210133332200
510341243214210413440
6114500205334523412
74431654455204504
oct500346044377640
985865304567878
1022021112201120
11702011282601a
122577a09b06568
13c397747860b6
14561b829ca304
15282c465757b5
hex14073091ffa0

22021112201120 has 48 divisors (see below), whose sum is σ = 53006479059240. Its totient is φ = 8642247803904.

The previous prime is 22021112201107. The next prime is 22021112201203. The reversal of 22021112201120 is 2110221112022.

22021112201120 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 18560277050896 + 3460835150224 = 4308164^2 + 1860332^2 .

It is a super-2 number, since 2×220211122011202 (a number of 27 digits) contains 22 as substring.

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, 1298406155 + ... + 1298423114.

Almost surely, 222021112201120 is an apocalyptic number.

22021112201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22021112201120 is an abundant number, since it is smaller than the sum of its proper divisors (30985366858120).

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

22021112201120 is a wasteful number, since it uses less digits than its factorization.

22021112201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2596829337 (or 2596829329 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 22021112201120 its reverse (2110221112022), we get a palindrome (24131333313142).

The spelling of 22021112201120 in words is "twenty-two trillion, twenty-one billion, one hundred twelve million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 80 106 160 212 265 424 530 848 1060 1696 2120 4240 8480 2596829269 5193658538 10387317076 12984146345 20774634152 25968292690 41549268304 51936585380 83098536608 103873170760 137631951257 207746341520 275263902514 415492683040 550527805028 688159756285 1101055610056 1376319512570 2202111220112 2752639025140 4404222440224 5505278050280 11010556100560 22021112201120