Search a number
-
+
232012122010120 = 2351373111051129529
BaseRepresentation
bin110100110000001110001000…
…000111011011001000001000
31010102111010211200212120210101
4310300032020013123020020
5220402241311213310440
62141240521502255144
766604215445631344
oct6460161007331010
91112433750776711
10232012122010120
1167a20874370871
12220316062874b4
139c5c859475b3a
14414163775c624
151bc527b16769a
hexd303881db208

232012122010120 has 128 divisors (see below), whose sum is σ = 528034495622400. Its totient is φ = 91743128064000.

The previous prime is 232012122010057. The next prime is 232012122010127. The reversal of 232012122010120 is 21010221210232.

It is not an unprimeable number, because it can be changed into a prime (232012122010127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1791133516 + ... + 1791263044.

It is an arithmetic number, because the mean of its divisors is an integer number (4125269497050).

Almost surely, 2232012122010120 is an apocalyptic number.

232012122010120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232012122010120 is an abundant number, since it is smaller than the sum of its proper divisors (296022373612280).

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

232012122010120 is a wasteful number, since it uses less digits than its factorization.

232012122010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131039 (or 131035 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 232012122010120 its reverse (21010221210232), we get a palindrome (253022343220352).

The spelling of 232012122010120 in words is "two hundred thirty-two trillion, twelve billion, one hundred twenty-two million, ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 137 274 311 548 622 685 1051 1096 1244 1370 1555 2102 2488 2740 3110 4204 5255 5480 6220 8408 10510 12440 21020 42040 42607 85214 129529 143987 170428 213035 259058 287974 326861 340856 426070 518116 575948 647645 653722 719935 852140 1036232 1151896 1295290 1307444 1439870 1634305 1704280 2590580 2614888 2879740 3268610 5181160 5759480 6537220 13074440 17745473 35490946 40283519 44779957 70981892 80567038 88727365 89559914 136134979 141963784 161134076 177454730 179119828 201417595 223899785 272269958 322268152 354909460 358239656 402835190 447799570 544539916 680674895 709818920 805670380 895599140 1089079832 1361349790 1611340760 1791198280 2722699580 5445399160 5518842103 11037684206 18650492123 22075368412 27594210515 37300984246 42337978469 44150736824 55188421030 74601968492 84675956938 93252460615 110376842060 149203936984 169351913876 186504921230 211689892345 220753684120 338703827752 373009842460 423379784690 746019684920 846759569380 1693519138760 5800303050253 11600606100506 23201212201012 29001515251265 46402424402024 58003030502530 116006061005060 232012122010120