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222101220100120 = 23520251312741813
BaseRepresentation
bin110010011111111111111000…
…010101000000100000011000
31002010101200001220102021011021
4302133333320111000200120
5213102401244321200440
62104211520354412224
764532166165445264
oct6237777025004030
91063350056367137
10222101220100120
116484a664641579
1220ab0855291074
1396c1094327a3a
143cbba838350a4
151aa25682e884a
hexc9fff8540818

222101220100120 has 32 divisors (see below), whose sum is σ = 499728174250320. Its totient is φ = 88840411768960.

The previous prime is 222101220100093. The next prime is 222101220100127. The reversal of 222101220100120 is 21001022101222.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 222101220100094 and 222101220100103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222101220100127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79634334 + ... + 82376146.

Almost surely, 2222101220100120 is an apocalyptic number.

222101220100120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222101220100120 is an abundant number, since it is smaller than the sum of its proper divisors (277626954150200).

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

222101220100120 is a wasteful number, since it uses less digits than its factorization.

222101220100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4766955 (or 4766951 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 222101220100120 its reverse (21001022101222), we get a palindrome (243102242201342).

The spelling of 222101220100120 in words is "two hundred twenty-two trillion, one hundred one billion, two hundred twenty million, one hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 2025131 2741813 4050262 5483626 8100524 10125655 10967252 13709065 16201048 20251310 21934504 27418130 40502620 54836260 81005240 109672520 5552530502503 11105061005006 22210122010012 27762652512515 44420244020024 55525305025030 111050610050060 222101220100120