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31221311300 = 22522117092087
BaseRepresentation
bin11101000100111011…
…110110011101000100
32222120212101221111222
4131010323312131010
51002420123430200
622202021015512
72153456524124
oct350473663504
988525357458
1031221311300
1112271686313
126073b54598
132c3740b7ca
141722724c84
15c2ae73d85
hex744ef6744

31221311300 has 72 divisors (see below), whose sum is σ = 68200009920. Its totient is φ = 12405859200.

The previous prime is 31221311287. The next prime is 31221311321. The reversal of 31221311300 is 311312213.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14958857 + ... + 14960943.

It is an arithmetic number, because the mean of its divisors is an integer number (947222360).

Almost surely, 231221311300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31221311300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34100004960).

31221311300 is an abundant number, since it is smaller than the sum of its proper divisors (36978698620).

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

31221311300 is a wasteful number, since it uses less digits than its factorization.

31221311300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3021 (or 3014 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 31221311300 its reverse (311312213), we get a palindrome (31532623513).

The spelling of 31221311300 in words is "thirty-one billion, two hundred twenty-one million, three hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 211 422 709 844 1055 1418 2087 2110 2836 3545 4174 4220 5275 7090 8348 10435 10550 14180 17725 20870 21100 35450 41740 52175 70900 104350 149599 208700 299198 440357 598396 747995 880714 1479683 1495990 1761428 2201785 2959366 2991980 3739975 4403570 5918732 7398415 7479950 8807140 11008925 14796830 14959900 22017850 29593660 36992075 44035700 73984150 147968300 312213113 624426226 1248852452 1561065565 3122131130 6244262260 7805327825 15610655650 31221311300