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211320132101199 = 3211183111213103967
BaseRepresentation
bin110000000011000111001101…
…011010000110010001001111
31000201020000012100022110122200
4300003013031122012101033
5210144232112304214244
62025235043431012543
762340242604462222
oct6003071532062117
91021200170273580
10211320132101199
1161373401515120
121b84b31080a153
1390bb53138c444
143a27d3dd6d5b9
151966dc5569669
hexc031cd68644f

211320132101199 has 48 divisors (see below), whose sum is σ = 333204078864384. Its totient is φ = 127990213761600.

The previous prime is 211320132101149. The next prime is 211320132101213. The reversal of 211320132101199 is 991101231023112.

211320132101199 is a `hidden beast` number, since 2 + 1 + 1 + 320 + 1 + 3 + 210 + 119 + 9 = 666.

It is not a de Polignac number, because 211320132101199 - 28 = 211320132100943 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211320132101129) 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, 2032517314 + ... + 2032621280.

It is an arithmetic number, because the mean of its divisors is an integer number (6941751643008).

Almost surely, 2211320132101199 is an apocalyptic number.

211320132101199 is a deficient number, since it is larger than the sum of its proper divisors (121883946763185).

211320132101199 is a wasteful number, since it uses less digits than its factorization.

211320132101199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117028 (or 117025 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The spelling of 211320132101199 in words is "two hundred eleven trillion, three hundred twenty billion, one hundred thirty-two million, one hundred one thousand, one hundred ninety-nine".

Divisors: 1 3 9 11 33 99 1831 5493 11213 16479 20141 33639 60423 100917 103967 123343 181269 311901 370029 935703 1110087 1143637 3430911 10292733 20531003 61593009 184779027 190363577 225841033 571090731 677523099 1165781971 1713272193 2032569297 2093999347 3497345913 6281998041 10492037739 12823601681 18845994123 38470805043 115412415129 2134546788901 6403640366703 19210921100109 23480014677911 70440044033733 211320132101199