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211320423113000 = 2353267778939269
BaseRepresentation
bin110000000011000111011110…
…110000001110000100101000
31000201020000221121220101210112
4300003013132300032010220
5210144233211304104000
62025235132344233452
762340253040155145
oct6003073660160450
91021200847811715
10211320423113000
116137354080a643
121b84b39216b888
1390bb579761086
143a27d6a8833cc
151966de0da0235
hexc031dec0e128

211320423113000 has 64 divisors (see below), whose sum is σ = 494674514240400. Its totient is φ = 84496592467200.

The previous prime is 211320423112987. The next prime is 211320423113029. The reversal of 211320423113000 is 311324023112.

It can be written as a sum of positive squares in 8 ways, for example, as 6521598202564 + 204798824910436 = 2553742^2 + 14310794^2 .

It is a super-2 number, since 2×2113204231130002 (a number of 29 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 36792635 + ... + 42146634.

Almost surely, 2211320423113000 is an apocalyptic number.

211320423113000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211320423113000 is an abundant number, since it is smaller than the sum of its proper divisors (283354091127400).

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

211320423113000 is a wasteful number, since it uses less digits than its factorization.

211320423113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78941967 (or 78941953 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 211320423113000 its reverse (311324023112), we get a palindrome (211631747136112).

The spelling of 211320423113000 in words is "two hundred eleven trillion, three hundred twenty billion, four hundred twenty-three million, one hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 2677 5354 10708 13385 21416 26770 53540 66925 107080 133850 267700 334625 535400 669250 1338500 2677000 78939269 157878538 315757076 394696345 631514152 789392690 1578785380 1973481725 3157570760 3946963450 7893926900 9867408625 15787853800 19734817250 39469634500 78939269000 211320423113 422640846226 845281692452 1056602115565 1690563384904 2113204231130 4226408462260 5283010577825 8452816924520 10566021155650 21132042311300 26415052889125 42264084622600 52830105778250 105660211556500 211320423113000