Search a number
-
+
220012012111221 = 32117735791496453
BaseRepresentation
bin110010000001100110001001…
…110101000000010101110101
31001211222221110102000001001100
4302001212021311000111311
5212314134100100024341
62055532042324520313
764225225521525021
oct6201461165002565
91054887412001040
10220012012111221
1164114630154330
1220813975850099
13959c075087c25
143c488d1333381
151a6803d7893b6
hexc81989d40575

220012012111221 has 48 divisors (see below), whose sum is σ = 347194731566592. Its totient is φ = 133144851945600.

The previous prime is 220012012111159. The next prime is 220012012111247. The reversal of 220012012111221 is 122111210210022.

220012012111221 is a `hidden beast` number, since 2 + 200 + 120 + 12 + 111 + 221 = 666.

It is not a de Polignac number, because 220012012111221 - 226 = 220011945002357 is a prime.

It is a super-2 number, since 2×2200120121112212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 220012012111194 and 220012012111203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220012012111271) 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, 442919631 + ... + 443416083.

It is an arithmetic number, because the mean of its divisors is an integer number (7233223574304).

Almost surely, 2220012012111221 is an apocalyptic number.

It is an amenable number.

220012012111221 is a deficient number, since it is larger than the sum of its proper divisors (127182719455371).

220012012111221 is a wasteful number, since it uses less digits than its factorization.

220012012111221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503034 (or 503031 counting only the distinct ones).

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

Adding to 220012012111221 its reverse (122111210210022), we get a palindrome (342123222321243).

It can be divided in two parts, 2200120 and 12111221, that added together give a palindrome (14311341).

The spelling of 220012012111221 in words is "two hundred twenty trillion, twelve billion, twelve million, one hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 99 773 2319 5791 6957 8503 17373 25509 52119 63701 76527 191103 496453 573309 1489359 4468077 4476443 5460983 13429329 16382949 40287987 49148847 49240873 147722619 383758169 443167857 1151274507 2874959323 3453823521 4221339859 8624877969 12664019577 25874633907 31624552553 37992058731 94873657659 284620972977 2222343556679 6667030670037 20001092010111 24445779123469 73337337370407 220012012111221