Search a number
-
+
211100301199942 = 271119312327302507
BaseRepresentation
bin101111111111111010011110…
…011101110000101001000110
31000200102222202221200121202221
4233333322132131300221012
5210132131404101344232
62024550050051522554
762315331153604450
oct5777723635605106
91020388687617687
10211100301199942
1161299153721330
121b81479b8b945a
1390a389972068b
143a1b4482232d0
15196130b12c897
hexbffe9e770a46

211100301199942 has 64 divisors (see below), whose sum is σ = 428968398274560. Its totient is φ = 75404601194400.

The previous prime is 211100301199927. The next prime is 211100301199943. The reversal of 211100301199942 is 249991103001112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211100301199943) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1163560548 + ... + 1163741959.

It is an arithmetic number, because the mean of its divisors is an integer number (6702631223040).

Almost surely, 2211100301199942 is an apocalyptic number.

211100301199942 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

211100301199942 is an abundant number, since it is smaller than the sum of its proper divisors (217868097074618).

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

211100301199942 is a wasteful number, since it uses less digits than its factorization.

211100301199942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2327302577.

The product of its (nonzero) digits is 34992, while the sum is 43.

The spelling of 211100301199942 in words is "two hundred eleven trillion, one hundred billion, three hundred one million, one hundred ninety-nine thousand, nine hundred forty-two".

Divisors: 1 2 7 11 14 19 22 31 38 62 77 133 154 209 217 266 341 418 434 589 682 1178 1463 2387 2926 4123 4774 6479 8246 12958 45353 90706 2327302507 4654605014 16291117549 25600327577 32582235098 44218747633 51200655154 72146377717 88437495266 144292755434 179202293039 309531233431 358404586078 486406223963 505024644019 619062466862 793610154887 972812447926 1010049288038 1370781176623 1587220309774 2741562353246 3404843567741 5555271084209 6809687135482 9595468236361 11110542168418 15078592942853 19190936472722 30157185885706 105550150599971 211100301199942