Search a number
-
+
2212212011121 = 32797647559513
BaseRepresentation
bin100000001100010010000…
…111000111000001110001
321211111002212011222101200
4200030102013013001301
5242221102233323441
64412135352521413
7315553450560030
oct40142207070161
97744085158350
102212212011121
1178321500a762
122b88a93b0269
131307c2919418
14791007ba717
153c8286007b6
hex203121c7071

2212212011121 has 48 divisors (see below), whose sum is σ = 3695263213824. Its totient is φ = 1249153062912.

The previous prime is 2212212011089. The next prime is 2212212011123. The reversal of 2212212011121 is 1211102122122.

2212212011121 is a `hidden beast` number, since 221 + 221 + 201 + 1 + 1 + 21 = 666.

It is not a de Polignac number, because 2212212011121 - 25 = 2212212011089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2212212011094 and 2212212011103.

It is not an unprimeable number, because it can be changed into a prime (2212212011123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3674061 + ... + 4233573.

It is an arithmetic number, because the mean of its divisors is an integer number (76984650288).

Almost surely, 22212212011121 is an apocalyptic number.

2212212011121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2212212011121 is a deficient number, since it is larger than the sum of its proper divisors (1483051202703).

2212212011121 is a wasteful number, since it uses less digits than its factorization.

2212212011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560270 (or 560267 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 2212212011121 its reverse (1211102122122), we get a palindrome (3423314133243).

The spelling of 2212212011121 in words is "two trillion, two hundred twelve billion, two hundred twelve million, eleven thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 63 97 291 647 679 873 1941 2037 4529 5823 6111 13587 40761 62759 188277 439313 559513 564831 1317939 1678539 3916591 3953817 5035617 11749773 35249319 54272761 162818283 362004911 379909327 488454849 1086014733 1139727981 2534034377 3258044199 3419183943 7602103131 22806309393 35114476367 105343429101 245801334569 316030287303 737404003707 2212212011121