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2213032311 = 3272967101179
BaseRepresentation
bin1000001111101000…
…0011000101110111
312201020012200121200
42003322003011313
514013014013221
61003332543543
7105561315150
oct20372030567
95636180550
102213032311
11a36220a26
12519181bb3
13293645499
1416dcb0927
15ce443426
hex83e83177

2213032311 has 96 divisors (see below), whose sum is σ = 3895257600. Its totient is φ = 1184198400.

The previous prime is 2213032301. The next prime is 2213032313. The reversal of 2213032311 is 1132303122.

2213032311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2213032311 - 213 = 2213024119 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2213032313) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12363220 + ... + 12363398.

It is an arithmetic number, because the mean of its divisors is an integer number (40575600).

Almost surely, 22213032311 is an apocalyptic number.

2213032311 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2213032311 is a deficient number, since it is larger than the sum of its proper divisors (1682225289).

2213032311 is a wasteful number, since it uses less digits than its factorization.

2213032311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2213032311 is about 47042.8773673550. The cubic root of 2213032311 is about 1303.1545306628.

Adding to 2213032311 its reverse (1132303122), we get a palindrome (3345335433).

The spelling of 2213032311 in words is "two billion, two hundred thirteen million, thirty-two thousand, three hundred eleven".

Divisors: 1 3 7 9 21 29 63 67 87 101 179 201 203 261 303 469 537 603 609 707 909 1253 1407 1611 1827 1943 2121 2929 3759 4221 5191 5829 6363 6767 8787 11277 11993 13601 15573 17487 18079 20301 20503 26361 35979 36337 40803 46719 47369 54237 60903 61509 83951 107937 109011 122409 126553 142107 162711 184527 196243 251853 327033 347797 379659 426321 524291 588729 755559 1043391 1138977 1211293 1373701 1572873 1766187 2434579 3130173 3633879 3670037 4121103 4718619 7303737 8479051 10901637 11010111 12363309 21911211 25437153 33030333 35127497 76311459 105382491 245892479 316147473 737677437 2213032311