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211220221113 = 321117226472789
BaseRepresentation
bin1100010010110110110…
…1001100110010111001
3202012012022002222022100
43010231231030302321
511430034334033423
6241011102214013
721155143153626
oct3045555146271
9665168088270
10211220221113
118163a343410
1234b29284309
1316bc1a60a75
14a31a31934d
155763514343
hex312db4ccb9

211220221113 has 72 divisors (see below), whose sum is σ = 353822264640. Its totient is φ = 120393423360.

The previous prime is 211220221111. The next prime is 211220221133. The reversal of 211220221113 is 311122022112.

211220221113 is a `hidden beast` number, since 211 + 220 + 221 + 1 + 13 = 666.

It is not a de Polignac number, because 211220221113 - 21 = 211220221111 is a prime.

It is a super-2 number, since 2×2112202211132 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211220221111) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 75731923 + ... + 75734711.

It is an arithmetic number, because the mean of its divisors is an integer number (4914198120).

Almost surely, 2211220221113 is an apocalyptic number.

It is an amenable number.

211220221113 is a deficient number, since it is larger than the sum of its proper divisors (142602043527).

211220221113 is a wasteful number, since it uses less digits than its factorization.

211220221113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5487 (or 5467 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 211220221113 its reverse (311122022112), we get a palindrome (522342243225).

The spelling of 211220221113 in words is "two hundred eleven billion, two hundred twenty million, two hundred twenty-one thousand, one hundred thirteen".

Divisors: 1 3 9 11 17 33 51 99 153 187 289 561 867 1683 2601 2647 2789 3179 7941 8367 9537 23823 25101 28611 29117 30679 44999 47413 87351 92037 134997 142239 262053 276111 404991 426717 494989 521543 764983 806021 1484967 1564629 2294949 2418063 4454901 4693887 6884847 7254189 7382483 8414813 8866231 22147449 25244439 26598693 66442347 75733317 79796079 81207313 125502211 243621939 376506633 730865817 1129519899 1380524321 2133537587 4141572963 6400612761 12424718889 19201838283 23468913457 70406740371 211220221113