Search a number
-
+
221102200011222 = 236178920447027
BaseRepresentation
bin110010010001011101011110…
…000101110011100111010110
31001222212011102110212111000000
4302101131132011303213112
5212440014301200324342
62102124540511032130
764400051430011025
oct6221353605634726
91058764373774000
10221102200011222
11644a4a09869372
122096b10750b646
13964ab0408466a
143c855915ca8bc
151a86597ae644c
hexc9175e1739d6

221102200011222 has 56 divisors (see below), whose sum is σ = 526502624486616. Its totient is φ = 69365396074176.

The previous prime is 221102200011221. The next prime is 221102200011241. The reversal of 221102200011222 is 222110002201122.

It is a happy number.

221102200011222 is a `hidden beast` number, since 2 + 211 + 0 + 220 + 0 + 0 + 11 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221102200011195 and 221102200011204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221102200011221) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 4460198728 + ... + 4460248299.

Almost surely, 2221102200011222 is an apocalyptic number.

221102200011222 is an abundant number, since it is smaller than the sum of its proper divisors (305400424475394).

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

221102200011222 is an equidigital number, since it uses as much as digits as its factorization.

221102200011222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8920447064 (or 8920447049 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221102200011222 its reverse (222110002201122), we get a palindrome (443212202212344).

The spelling of 221102200011222 in words is "two hundred twenty-one trillion, one hundred two billion, two hundred million, eleven thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 243 306 459 486 729 918 1377 1458 2754 4131 8262 12393 24786 8920447027 17840894054 26761341081 53522682162 80284023243 151647599459 160568046486 240852069729 303295198918 454942798377 481704139458 722556209187 909885596754 1364828395131 1445112418374 2167668627561 2729656790262 4094485185393 4335337255122 6503005882683 8188970370786 12283455556179 13006011765366 24566911112358 36850366668537 73700733337074 110551100005611 221102200011222