Search a number
-
+
23133113133222 = 23294127128342281
BaseRepresentation
bin1010100001010000110001…
…11111011010100010100110
310000220111121102120120200010
411100220120333122202212
511013003103430230342
6121111112214031050
74605212052160341
oct520503077324246
9100814542516603
1023133113133222
117409775314a14
122717428948486
13cba59b961211
1459d911c75458
152a1b2a8cd29c
hex150a18fda8a6

23133113133222 has 128 divisors (see below), whose sum is σ = 49384943032320. Its totient is φ = 7211006208000.

The previous prime is 23133113133149. The next prime is 23133113133223. The reversal of 23133113133222 is 22233131133132.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 23133113133222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23133113133223) 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, 547106722 + ... + 547149002.

It is an arithmetic number, because the mean of its divisors is an integer number (385819867440).

Almost surely, 223133113133222 is an apocalyptic number.

23133113133222 is an abundant number, since it is smaller than the sum of its proper divisors (26251829899098).

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

23133113133222 is a wasteful number, since it uses less digits than its factorization.

23133113133222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42910.

The product of its digits is 11664, while the sum is 30.

Adding to 23133113133222 its reverse (22233131133132), we get a palindrome (45366244266354).

The spelling of 23133113133222 in words is "twenty-three trillion, one hundred thirty-three billion, one hundred thirteen million, one hundred thirty-three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 29 41 58 82 87 123 174 246 271 283 542 566 813 849 1189 1626 1698 2378 3567 7134 7859 8207 11111 11603 15718 16414 22222 23206 23577 24621 33333 34809 42281 47154 49242 66666 69618 76693 84562 126843 153386 230079 253686 322219 336487 460158 644438 672974 966657 1009461 1226149 1733521 1933314 2018922 2224097 2452298 3144413 3467042 3678447 4448194 5200563 6288826 6672291 7356894 9433239 10401126 11458151 11965523 13344582 18866478 22916302 23931046 34374453 35896569 50272109 68748906 71793138 91187977 100544218 150816327 182375954 273563931 301632654 332286379 347000167 469784191 490586443 547127862 664572758 694000334 939568382 981172886 996859137 1041000501 1409352573 1471759329 1993718274 2082001002 2818705146 2943518658 3242656733 6485313466 9727970199 13623741539 14227006847 19455940398 27247483078 28454013694 40871224617 42681020541 81742449234 85362041082 94037045257 132948926053 188074090514 265897852106 282111135771 398846778159 564222271542 797693556318 3855518855537 7711037711074 11566556566611 23133113133222