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31221222212213 = 1129721120116269
BaseRepresentation
bin1110001100101010000011…
…10111000000001001110101
311002112201102122201221200022
413012111001313000021311
513043012030341242323
6150222455333254525
76401441664046115
oct706250167001165
9132481378657608
1031221222212213
119a47934004300
123602a70194445
1314561c16a2377
1479d18822d045
15392207ba74c8
hex1c6541dc0275

31221222212213 has 48 divisors (see below), whose sum is σ = 34858532089920. Its totient is φ = 27938832768000.

The previous prime is 31221222212203. The next prime is 31221222212221.

31221222212213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31221222212213 - 24 = 31221222212197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31221222212203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4980252443 + ... + 4980258711.

It is an arithmetic number, because the mean of its divisors is an integer number (726219418540).

Almost surely, 231221222212213 is an apocalyptic number.

It is an amenable number.

31221222212213 is a deficient number, since it is larger than the sum of its proper divisors (3637309877707).

31221222212213 is a wasteful number, since it uses less digits than its factorization.

31221222212213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8610 (or 8599 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

It can be divided in two parts, 3122122 and 2212213, that added together give a palindrome (5334335).

The spelling of 31221222212213 in words is "thirty-one trillion, two hundred twenty-one billion, two hundred twenty-two million, two hundred twelve thousand, two hundred thirteen".

Divisors: 1 11 97 121 211 1067 2011 2321 6269 11737 20467 22121 25531 68959 195067 225137 243331 424321 608093 758549 1322759 2145737 2476507 4667531 6689023 12606959 14550349 23603107 41159137 51342841 73579253 128307623 138676549 160053839 452750507 1222875023 1411383853 1525442039 2660068349 4980255577 13451625253 15525222383 29260751839 147967877783 258026629853 321868270229 2838292928383 31221222212213