Search a number
-
+
221121210100212 = 22332047418612039
BaseRepresentation
bin110010010001101111001011…
…001011100010100111110100
31001222220222111022201001122000
4302101233023023202213310
5212440322214241201322
62102141403115135300
764401323502054012
oct6221571313424764
91058828438631560
10221121210100212
1164501a84535614
1220972931a44530
13964c843645326
143c8647622d8b2
151a86d0b9c53ac
hexc91bcb2e29f4

221121210100212 has 24 divisors (see below), whose sum is σ = 573277211371200. Its totient is φ = 73707070033368.

The previous prime is 221121210100211. The next prime is 221121210100243. The reversal of 221121210100212 is 212001012121122.

221121210100212 is a `hidden beast` number, since 2 + 21 + 121 + 210 + 100 + 212 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221121210100211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1023709305912 + ... + 1023709306127.

It is an arithmetic number, because the mean of its divisors is an integer number (23886550473800).

Almost surely, 2221121210100212 is an apocalyptic number.

It is an amenable number.

221121210100212 is an abundant number, since it is smaller than the sum of its proper divisors (352156001270988).

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

221121210100212 is a wasteful number, since it uses less digits than its factorization.

221121210100212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2047418612052 (or 2047418612044 counting only the distinct ones).

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

Adding to 221121210100212 its reverse (212001012121122), we get a palindrome (433122222221334).

The spelling of 221121210100212 in words is "two hundred twenty-one trillion, one hundred twenty-one billion, two hundred ten million, one hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 2047418612039 4094837224078 6142255836117 8189674448156 12284511672234 18426767508351 24569023344468 36853535016702 55280302525053 73707070033404 110560605050106 221121210100212