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221012122200111 = 32113769187317467
BaseRepresentation
bin110010010000001001100101…
…000010001110100000101111
31001222112112220210120120002200
4302100021211002032200233
5212432030311240400421
62102015322310552543
764360412264155644
oct6220114502164057
91058475823516080
10221012122200111
116446a795231680
1220955768668753
13964247a0ba408
143c81088235dcb
151a840749e9726
hexc9026508e82f

221012122200111 has 48 divisors (see below), whose sum is σ = 358191621610368. Its totient is φ = 130137951326400.

The previous prime is 221012122200109. The next prime is 221012122200173. The reversal of 221012122200111 is 111002221210122.

221012122200111 is a `hidden beast` number, since 2 + 210 + 121 + 2 + 220 + 0 + 111 = 666.

It is not a de Polignac number, because 221012122200111 - 21 = 221012122200109 is a prime.

It is a super-2 number, since 2×2210121222001112 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221012122200811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41127601 + ... + 46189866.

It is an arithmetic number, because the mean of its divisors is an integer number (7462325450216).

Almost surely, 2221012122200111 is an apocalyptic number.

221012122200111 is a deficient number, since it is larger than the sum of its proper divisors (137179499410257).

221012122200111 is a wasteful number, since it uses less digits than its factorization.

221012122200111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87318212 (or 87318209 counting only the distinct ones).

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

Adding to 221012122200111 its reverse (111002221210122), we get a palindrome (332014343410233).

It can be divided in two parts, 22101 and 2122200111, that added together give a palindrome (2122222212).

The spelling of 221012122200111 in words is "two hundred twenty-one trillion, twelve billion, one hundred twenty-two million, two hundred thousand, one hundred eleven".

Divisors: 1 3 9 11 33 37 99 111 333 407 691 1221 2073 3663 6219 7601 22803 25567 68409 76701 230103 281237 843711 2531133 87317467 261952401 785857203 960492137 2881476411 3230746279 8644429233 9692238837 29076716511 35538209069 60336369697 106614627207 181009109091 319843881621 543027327273 663700066667 1991100200001 2232445678789 5973300600003 6697337036367 20092011109101 24556902466679 73670707400037 221012122200111