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213220120113 = 327112133758151
BaseRepresentation
bin1100011010010011101…
…0001101011000110001
3202101100200021100222200
43012210322031120301
511443133322320423
6241541343053413
721255536055150
oct3064472153061
9671320240880
10213220120113
1182476221100
12353a6ba1269
13171501a1160
14a469b89597
15582dda6d43
hex31a4e8d631

213220120113 has 144 divisors (see below), whose sum is σ = 427918702848. Its totient is φ = 99478368000.

The previous prime is 213220120097. The next prime is 213220120129. The reversal of 213220120113 is 311021022312.

213220120113 is a `hidden beast` number, since 213 + 220 + 120 + 113 = 666.

It is an interprime number because it is at equal distance from previous prime (213220120097) and next prime (213220120129).

It is not a de Polignac number, because 213220120113 - 24 = 213220120097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213220120133) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3637588 + ... + 3695738.

Almost surely, 2213220120113 is an apocalyptic number.

It is an amenable number.

213220120113 is an abundant number, since it is smaller than the sum of its proper divisors (214698582735).

213220120113 is a wasteful number, since it uses less digits than its factorization.

213220120113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58236 (or 58222 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 213220120113 its reverse (311021022312), we get a palindrome (524241142425).

It can be divided in two parts, 213220 and 120113, that added together give a palindrome (333333).

The spelling of 213220120113 in words is "two hundred thirteen billion, two hundred twenty million, one hundred twenty thousand, one hundred thirteen".

Divisors: 1 3 7 9 11 13 21 33 37 39 63 77 91 99 111 117 121 143 231 259 273 333 363 407 429 481 693 777 819 847 1001 1089 1221 1287 1443 1573 2331 2541 2849 3003 3367 3663 4329 4477 4719 5291 7623 8547 9009 10101 11011 13431 14157 15873 25641 30303 31339 33033 37037 40293 47619 58151 58201 94017 99099 111111 174453 174603 282051 333333 407057 407407 523359 523809 639661 755963 1221171 1222221 1918983 2151587 2267889 3663513 3666663 4477627 5291741 5756949 6454761 6803667 7036271 8315593 13432881 15061109 15875223 19364283 21108813 23667457 24946779 27970631 40298643 45183327 47625669 49253897 58209151 63326439 71002371 74840337 83911893 91471523 135549981 147761691 165672199 174627453 195794417 213007113 251735679 260342027 274414569 307676941 443285073 497016597 523882359 587383251 640300661 781026081 823243707 923030823 1491049791 1762149753 1822394189 1920901983 2153738587 2343078243 2769092469 3384446351 5467182567 5762705949 6461215761 10153339053 16401547701 19383647283 23691124457 30460017159 71073373371 213220120113