Search a number
-
+
23223105301110 = 23511135814793097
BaseRepresentation
bin1010100011111000011001…
…11100010010101001110110
310001020002220010201101011020
411101330030330102221312
511020441404424113420
6121220314114322010
74614546125033631
oct521741474225166
9101202803641136
1023223105301110
117443955576690
122730962b89306
13cc5c10c705c0
145a400bad4c18
152a414620e340
hex151f0cf12a76

23223105301110 has 128 divisors (see below), whose sum is σ = 65481242448384. Its totient is φ = 5196633615360.

The previous prime is 23223105301057. The next prime is 23223105301111. The reversal of 23223105301110 is 1110350132232.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23223105301111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 249404082 + ... + 249497178.

It is an arithmetic number, because the mean of its divisors is an integer number (511572206628).

Almost surely, 223223105301110 is an apocalyptic number.

23223105301110 is an abundant number, since it is smaller than the sum of its proper divisors (42258137147274).

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

23223105301110 is a wasteful number, since it uses less digits than its factorization.

23223105301110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151278.

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 23223105301110 its reverse (1110350132232), we get a palindrome (24333455433342).

The spelling of 23223105301110 in words is "twenty-three trillion, two hundred twenty-three billion, one hundred five million, three hundred one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 110 130 143 165 195 286 330 390 429 715 858 1430 2145 4290 58147 93097 116294 174441 186194 279291 290735 348882 465485 558582 581470 639617 755911 872205 930970 1024067 1210261 1279234 1396455 1511822 1744410 1918851 2048134 2267733 2420522 2792910 3072201 3198085 3630783 3779555 3837702 4535466 5120335 6051305 6144402 6396170 7261566 7559110 8315021 9594255 10240670 11338665 12102610 13312871 15361005 16630042 18153915 19188510 22677330 24945063 26625742 30722010 36307830 39938613 41575105 49890126 66564355 79877226 83150210 124725315 133128710 199693065 249450630 399386130 5413311259 10826622518 16239933777 27066556295 32479867554 54133112590 59546423849 70373046367 81199668885 119092847698 140746092734 162399337770 178639271547 211119139101 297732119245 351865231835 357278543094 422238278202 595464238490 703730463670 774103510037 893196357735 1055595695505 1548207020074 1786392715470 2111191391010 2322310530111 3870517550185 4644621060222 7741035100370 11611552650555 23223105301110