Search a number
-
+
12023001301194 = 232131071009475907
BaseRepresentation
bin1010111011110101001010…
…1110001100000011001010
31120120101110122002021021200
42232331102232030003022
53033441101313114234
641323142431445030
72350430115601452
oct256752256140312
946511418067250
1012023001301194
113915a20882934
12142217a986776
136929c1b16090
142d7cb8728d62
1515cb2c3dad99
hexaef52b8c0ca

12023001301194 has 96 divisors (see below), whose sum is σ = 28343976373440. Its totient is φ = 3661171508736.

The previous prime is 12023001301187. The next prime is 12023001301261. The reversal of 12023001301194 is 49110310032021.

12023001301194 is a `hidden beast` number, since 120 + 230 + 0 + 1 + 301 + 1 + 9 + 4 = 666.

12023001301194 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25025389 + ... + 25501295.

It is an arithmetic number, because the mean of its divisors is an integer number (295249753890).

Almost surely, 212023001301194 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12023001301194, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14171988186720).

12023001301194 is an abundant number, since it is smaller than the sum of its proper divisors (16320975072246).

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

12023001301194 is a wasteful number, since it uses less digits than its factorization.

12023001301194 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477044 (or 477041 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 12023001301194 in words is "twelve trillion, twenty-three billion, one million, three hundred one thousand, one hundred ninety-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 107 117 214 234 321 642 963 1009 1391 1926 2018 2782 3027 4173 6054 8346 9081 12519 13117 18162 25038 26234 39351 78702 107963 118053 215926 236106 323889 475907 647778 951814 971667 1403519 1427721 1943334 2807038 2855442 4210557 4283163 6186791 8421114 8566326 12373582 12631671 18560373 25263342 37120746 50922049 55681119 101844098 111362238 152766147 305532294 458298441 480190163 661986637 916596882 960380326 1323973274 1440570489 1985959911 2881140978 3971919822 4321711467 5957879733 6242472119 8643422934 11915759466 12484944238 18727416357 37454832714 51380347441 56182249071 102760694882 112364498142 154141042323 308282084646 462423126969 667944516733 924846253938 1335889033466 2003833550199 4007667100398 6011500650597 12023001301194