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113123126512 = 24112437119139
BaseRepresentation
bin110100101011010101…
…0011110110011110000
3101210222202010020112101
41221112222132303300
53323134010022022
6123545033110144
711113203465364
oct1512652366360
9353882106471
10113123126512
1143a80068300
1219b10858354
13a88a561466
145691cbb2a4
152e213ad627
hex1a56a9ecf0

113123126512 has 120 divisors (see below), whose sum is σ = 250000248960. Its totient is φ = 49513833600.

The previous prime is 113123126483. The next prime is 113123126521. The reversal of 113123126512 is 215621321311.

113123126512 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1131231265122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5901039 + ... + 5920177.

It is an arithmetic number, because the mean of its divisors is an integer number (2083335408).

Almost surely, 2113123126512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113123126512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125000124480).

113123126512 is an abundant number, since it is smaller than the sum of its proper divisors (136877122448).

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

113123126512 is a wasteful number, since it uses less digits than its factorization.

113123126512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19283 (or 19266 counting only the distinct ones).

The product of its digits is 2160, while the sum is 28.

Adding to 113123126512 its reverse (215621321311), we get a palindrome (328744447823).

The spelling of 113123126512 in words is "one hundred thirteen billion, one hundred twenty-three million, one hundred twenty-six thousand, five hundred twelve".

Divisors: 1 2 4 8 11 16 22 43 44 71 86 88 121 142 172 176 242 284 344 473 484 568 688 781 946 968 1136 1562 1892 1936 3053 3124 3784 5203 6106 6248 7568 8591 10406 12212 12496 17182 19139 20812 24424 33583 34364 38278 41624 48848 67166 68728 76556 83248 134332 137456 153112 210529 268664 306224 369413 421058 537328 738826 822977 842116 1358869 1477652 1645954 1684232 2315819 2717738 2955304 3291908 3368464 4631638 5435476 5910608 6583816 9052747 9263276 10870952 13167632 14947559 18105494 18526552 21741904 29895118 36210988 37053104 58431367 59790236 72421976 99580217 116862734 119580472 144843952 164423149 199160434 233725468 239160944 328846298 398320868 467450936 642745037 657692596 796641736 934901872 1285490074 1315385192 1593283472 2570980148 2630770384 5141960296 7070195407 10283920592 14140390814 28280781628 56561563256 113123126512