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221011112111201 = 3797011249666031
BaseRepresentation
bin110010010000001000101000…
…110101000010110001100001
31001222112110022101220201121022
4302100020220311002301201
5212432021224200024301
62102015034145135225
764360345250435216
oct6220105065026141
91058473271821538
10221011112111201
116446a317047955
122095552632a515
139642348a5a079
143c80dd001db0d
151a84015ec3d1b
hexc90228d42c61

221011112111201 has 16 divisors (see below), whose sum is σ = 222088370400000. Its totient is φ = 219936959424000.

The previous prime is 221011112111177. The next prime is 221011112111261. The reversal of 221011112111201 is 102111211110122.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221011112111201 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 221011112111201.

It is not an unprimeable number, because it can be changed into a prime (221011112111261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 331500056 + ... + 332166086.

It is an arithmetic number, because the mean of its divisors is an integer number (13880523150000).

Almost surely, 2221011112111201 is an apocalyptic number.

It is an amenable number.

221011112111201 is a deficient number, since it is larger than the sum of its proper divisors (1077258288799).

221011112111201 is a wasteful number, since it uses less digits than its factorization.

221011112111201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668360.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 221011112111201 its reverse (102111211110122), we get a palindrome (323122323221323).

The spelling of 221011112111201 in words is "two hundred twenty-one trillion, eleven billion, one hundred twelve million, one hundred eleven thousand, two hundred one".

Divisors: 1 379 701 1249 265679 473371 666031 875549 252425749 331833071 466887731 831872719 176950450049 315279760501 583142776019 221011112111201