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113012032112 = 24797107191509
BaseRepresentation
bin110100101000000001…
…0101100001001110000
3101210201000002001122222
41221100002230021300
53322422040011422
6123530024020212
711110354265120
oct1512002541160
9353630061588
10113012032112
1143a23389451
1219a9b601668
13a870534c25
14568123cc80
152e16766842
hex1a500ac270

113012032112 has 160 divisors (see below), whose sum is σ = 257023549440. Its totient is φ = 47145000960.

The previous prime is 113012032109. The next prime is 113012032153. The reversal of 113012032112 is 211230210311.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222027314 + ... + 222027822.

It is an arithmetic number, because the mean of its divisors is an integer number (1606397184).

Almost surely, 2113012032112 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 113012032112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128511774720).

113012032112 is an abundant number, since it is smaller than the sum of its proper divisors (144011517328).

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

113012032112 is a wasteful number, since it uses less digits than its factorization.

113012032112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 113012032112 its reverse (211230210311), we get a palindrome (324242242423).

The spelling of 113012032112 in words is "one hundred thirteen billion, twelve million, thirty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 56 97 107 112 191 194 214 382 388 428 509 679 749 764 776 856 1018 1337 1358 1498 1528 1552 1712 2036 2674 2716 2996 3056 3563 4072 5348 5432 5992 7126 8144 10379 10696 10864 11984 14252 18527 20437 20758 21392 28504 37054 40874 41516 49373 54463 57008 72653 74108 81748 83032 97219 98746 108926 129689 143059 145306 148216 163496 166064 194438 197492 217852 259378 286118 290612 296432 326992 345611 381241 388876 394984 435704 518756 572236 581224 680533 691222 762482 777752 789968 871408 1037512 1144472 1162448 1361066 1382444 1524964 1555504 1982389 2075024 2288944 2722132 2764888 3049928 3964778 5282911 5444264 5529776 6099856 7929556 9430243 10402433 10565822 10888528 13876723 15859112 18860486 20804866 21131644 27753446 31718224 36980377 37720972 41609732 42263288 55506892 66011701 72817031 73960754 75441944 83219464 84526576 111013784 132023402 145634062 147921508 150883888 166438928 222027568 264046804 291268124 295843016 528093608 582536248 591686032 1009036001 1056187216 1165072496 2018072002 4036144004 7063252007 8072288008 14126504014 16144576016 28253008028 56506016056 113012032112