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222101102001012 = 223132313532816409
BaseRepresentation
bin110010011111111111110001…
…010010011111101101110100
31002010101122202200012012122020
4302133333301102133231310
5213102401024103013022
62104211500535233140
764532163232562103
oct6237776122375564
91063348680165566
10222101102001012
116484a603a08a03
1220ab08218187b0
1396c1075a18100
143cbba71c9203a
151aa255cc6b35c
hexc9fff149fb74

222101102001012 has 72 divisors (see below), whose sum is σ = 579268841114880. Its totient is φ = 66134323157760.

The previous prime is 222101102001011. The next prime is 222101102001029. The reversal of 222101102001012 is 210100201101222.

It is a junction number, because it is equal to n+sod(n) for n = 222101102000982 and 222101102001000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222101102001011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1766345337 + ... + 1766471072.

It is an arithmetic number, because the mean of its divisors is an integer number (8045400571040).

Almost surely, 2222101102001012 is an apocalyptic number.

It is an amenable number.

222101102001012 is an abundant number, since it is smaller than the sum of its proper divisors (357167739113868).

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

222101102001012 is a wasteful number, since it uses less digits than its factorization.

222101102001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3532816473 (or 3532816458 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 222101102001012 its reverse (210100201101222), we get a palindrome (432201303102234).

The spelling of 222101102001012 in words is "two hundred twenty-two trillion, one hundred one billion, one hundred two million, one thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 31 39 52 62 78 93 124 156 169 186 338 372 403 507 676 806 1014 1209 1612 2028 2418 4836 5239 10478 15717 20956 31434 62868 3532816409 7065632818 10598449227 14131265636 21196898454 42393796908 45926613317 91853226634 109517308679 137779839951 183706453268 219034617358 275559679902 328551926037 438069234716 551119359804 597045973121 657103852074 1194091946242 1314207704148 1423725012827 1791137919363 2388183892484 2847450025654 3582275838726 4271175038481 5694900051308 7164551677452 8542350076962 17084700153924 18508425166751 37016850333502 55525275500253 74033700667004 111050551000506 222101102001012