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234011505112 = 2371113713919949
BaseRepresentation
bin1101100111110000101…
…1000011000111011000
3211101000122221011100221
43121330023003013120
512313223421130422
6255300422405424
722623010655020
oct3317413030730
9741018834327
10234011505112
1190275437410
1239429b90874
13190b4803628
14b47d1d6a80
1561493473c7
hex367c2c31d8

234011505112 has 128 divisors (see below), whose sum is σ = 555024960000. Its totient is φ = 89852175360.

The previous prime is 234011505107. The next prime is 234011505139. The reversal of 234011505112 is 211505110432.

234011505112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2340115051122 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11720514 + ... + 11740462.

It is an arithmetic number, because the mean of its divisors is an integer number (4336132500).

Almost surely, 2234011505112 is an apocalyptic number.

234011505112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234011505112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277512480000).

234011505112 is an abundant number, since it is smaller than the sum of its proper divisors (321013454888).

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

234011505112 is a wasteful number, since it uses less digits than its factorization.

234011505112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20249 (or 20245 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

Adding to 234011505112 its reverse (211505110432), we get a palindrome (445516615544).

The spelling of 234011505112 in words is "two hundred thirty-four billion, eleven million, five hundred five thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 137 139 154 274 278 308 548 556 616 959 973 1096 1112 1507 1529 1918 1946 3014 3058 3836 3892 6028 6116 7672 7784 10549 10703 12056 12232 19043 19949 21098 21406 38086 39898 42196 42812 76172 79796 84392 85624 133301 139643 152344 159592 209473 219439 266602 279286 418946 438878 533204 558572 837892 877756 1066408 1117144 1466311 1536073 1675784 1755512 2733013 2772911 2932622 3072146 5466026 5545822 5865244 6144292 10932052 11091644 11730488 12288584 19131091 19410377 21864104 22183288 30063143 30502021 38262182 38820754 60126286 61004042 76524364 77641508 120252572 122008084 153048728 155283016 210442001 213514147 240505144 244016168 379888807 420884002 427028294 759777614 841768004 854056588 1519555228 1683536008 1708113176 2659221649 3039110456 4178776877 5318443298 8357553754 10636886596 16715107508 21273773192 29251438139 33430215016 58502876278 117005752556 234011505112