Search a number
-
+
211233131002110 = 235731311104332751
BaseRepresentation
bin110000000001110110001011…
…101111001111100011111110
31000200220200122002101201012110
4300001312023233033203332
5210141320423014031420
62025131054415314450
762331042621363060
oct6001661357174376
91020820562351173
10211233131002110
116133a516683738
121b83649021ba26
1390b3277958359
143a23a4946d730
1519649d2615ee0
hexc01d8bbcf8fe

211233131002110 has 128 divisors (see below), whose sum is σ = 599995120877568. Its totient is φ = 46574139600000.

The previous prime is 211233131002093. The next prime is 211233131002111. The reversal of 211233131002110 is 11200131332112.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211233131002111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50141766 + ... + 54190985.

It is an arithmetic number, because the mean of its divisors is an integer number (4687461881856).

Almost surely, 2211233131002110 is an apocalyptic number.

211233131002110 is an abundant number, since it is smaller than the sum of its proper divisors (388761989875458).

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

211233131002110 is a wasteful number, since it uses less digits than its factorization.

211233131002110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104333110.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 211233131002110 its reverse (11200131332112), we get a palindrome (222433262334222).

The spelling of 211233131002110 in words is "two hundred eleven trillion, two hundred thirty-three billion, one hundred thirty-one million, two thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 62 70 93 105 155 186 210 217 310 311 434 465 622 651 930 933 1085 1302 1555 1866 2170 2177 3110 3255 4354 4665 6510 6531 9330 9641 10885 13062 19282 21770 28923 32655 48205 57846 65310 67487 96410 134974 144615 202461 289230 337435 404922 674870 1012305 2024610 104332751 208665502 312998253 521663755 625996506 730329257 1043327510 1460658514 1564991265 2190987771 3129982530 3234315281 3651646285 4381975542 6468630562 7303292570 9702945843 10954938855 16171576405 19405891686 21909877710 22640206967 32343152810 32447485561 45280413934 48514729215 64894971122 67920620901 97029458430 97342456683 113201034835 135841241802 162237427805 194684913366 226402069670 227132398927 324474855610 339603104505 454264797854 486712283415 679206209010 681397196781 973424566830 1005872052391 1135661994635 1362794393562 2011744104782 2271323989270 3017616157173 3406985983905 5029360261955 6035232314346 6813971967810 7041104366737 10058720523910 14082208733474 15088080785865 21123313100211 30176161571730 35205521833685 42246626200422 70411043667370 105616565501055 211233131002110