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211320103221300 = 22352755399324989
BaseRepresentation
bin110000000011000111001011…
…101011111011100000110100
31000201020000010022222012212210
4300003013023223323200310
5210144232032411040200
62025235040520013420
762340242104140243
oct6003071353734064
91021200108865783
10211320103221300
116137339718a237
121b84b303001270
1390bb5283ba248
143a27d3a1b295a
151966dc2c62650
hexc031cbafb834

211320103221300 has 72 divisors (see below), whose sum is σ = 611427658312800. Its totient is φ = 56351275483520.

The previous prime is 211320103221083. The next prime is 211320103221301. The reversal of 211320103221300 is 3122301023112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211320103221301) 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 23 ways as a sum of consecutive naturals, for example, 17999206 + ... + 27324194.

It is an arithmetic number, because the mean of its divisors is an integer number (8492050809900).

Almost surely, 2211320103221300 is an apocalyptic number.

211320103221300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211320103221300 is an abundant number, since it is smaller than the sum of its proper divisors (400107555091500).

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

211320103221300 is a wasteful number, since it uses less digits than its factorization.

211320103221300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9400545 (or 9400538 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 211320103221300 its reverse (3122301023112), we get a palindrome (214442404244412).

The spelling of 211320103221300 in words is "two hundred eleven trillion, three hundred twenty billion, one hundred three million, two hundred twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 75539 151078 226617 302156 377695 453234 755390 906468 1133085 1510780 1888475 2266170 3776950 4532340 5665425 7553900 9324989 11330850 18649978 22661700 27974967 37299956 46624945 55949934 93249890 111899868 139874835 186499780 233124725 279749670 466249450 559499340 699374175 932498900 1398748350 2797496700 704400344071 1408800688142 2113201032213 2817601376284 3522001720355 4226402064426 7044003440710 8452804128852 10566005161065 14088006881420 17610008601775 21132010322130 35220017203550 42264020644260 52830025805325 70440034407100 105660051610650 211320103221300