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222100120221100 = 225211334360397607
BaseRepresentation
bin110010011111111110110110…
…110001010011010110101100
31002010101120020020210121210021
4302133332312301103112230
5213102342021234033400
62104211215304251524
764532130011565022
oct6237766661232654
91063346206717707
10222100120221100
116484a14a7aa150
1220ab05a8a70ba4
1396c0c4a4ba154
143cbb9bb728712
151aa250198871a
hexc9ffb6c535ac

222100120221100 has 72 divisors (see below), whose sum is σ = 525928841399808. Its totient is φ = 80739519700800.

The previous prime is 222100120221053. The next prime is 222100120221107. The reversal of 222100120221100 is 1122021001222.

It is a happy number.

It is a super-2 number, since 2×2221001202211002 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (222100120221107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26521504 + ... + 33876103.

It is an arithmetic number, because the mean of its divisors is an integer number (7304567241664).

Almost surely, 2222100120221100 is an apocalyptic number.

222100120221100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222100120221100 is an abundant number, since it is smaller than the sum of its proper divisors (303828721178708).

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

222100120221100 is a wasteful number, since it uses less digits than its factorization.

222100120221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60400975 (or 60400968 counting only the distinct ones).

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

Adding to 222100120221100 its reverse (1122021001222), we get a palindrome (223222141222322).

The spelling of 222100120221100 in words is "two hundred twenty-two trillion, one hundred billion, one hundred twenty million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 3343 6686 13372 16715 33430 36773 66860 73546 83575 147092 167150 183865 334300 367730 735460 919325 1838650 3677300 60397607 120795214 241590428 301988035 603976070 664373677 1207952140 1328747354 1509940175 2657494708 3019880350 3321868385 6039760700 6643736770 13287473540 16609341925 33218683850 66437367700 201909200201 403818400402 807636800804 1009546001005 2019092002010 2221001202211 4038184004020 4442002404422 5047730005025 8884004808844 10095460010050 11105006011055 20190920020100 22210012022110 44420024044220 55525030055275 111050060110550 222100120221100