Search a number
-
+
123340305541230 = 23354571408370979
BaseRepresentation
bin11100000010110101100111…
…000110010010100001101110
3121011201012212221221222102000
4130002311213012102201232
5112131301421204304410
61114153430521113130
734660020515623311
oct3402654706224156
9534635787858360
10123340305541230
113633336a003938
1211a002169287a6
1353a8c30228a4b
1422659ba08c978
15e3d56ec95dc0
hex702d6719286e

123340305541230 has 128 divisors (see below), whose sum is σ = 329655241843200. Its totient is φ = 32815984419072.

The previous prime is 123340305541199. The next prime is 123340305541231. The reversal of 123340305541230 is 32145503043321.

123340305541230 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 40 + 30 + 554 + 1 + 2 + 30 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123340305541231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1737665881 + ... + 1737736859.

It is an arithmetic number, because the mean of its divisors is an integer number (2575431576900).

Almost surely, 2123340305541230 is an apocalyptic number.

123340305541230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 123340305541230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164827620921600).

123340305541230 is an abundant number, since it is smaller than the sum of its proper divisors (206314936301970).

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

123340305541230 is a wasteful number, since it uses less digits than its factorization.

123340305541230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85535 (or 85529 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 123340305541230 its reverse (32145503043321), we get a palindrome (155485808584551).

The spelling of 123340305541230 in words is "one hundred twenty-three trillion, three hundred forty billion, three hundred five million, five hundred forty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 457 914 1371 2285 2742 4113 4570 6855 8226 12339 13710 14083 20565 24678 28166 41130 42249 61695 70415 70979 84498 123390 126747 140830 141958 211245 212937 253494 354895 380241 422490 425874 633735 638811 709790 760482 1064685 1267470 1277622 1901205 1916433 2129370 3194055 3802410 3832866 6388110 6435931 9582165 12871862 19164330 19307793 32179655 32437403 38615586 57923379 64359310 64874806 96538965 97312209 115846758 162187015 173770137 193077930 194624418 289616895 291936627 324374030 347540274 486561045 579233790 583873254 868850685 875809881 973122090 999597257 1459683135 1737701370 1751619762 1999194514 2919366270 2998791771 4379049405 4997986285 5997583542 8758098810 8996375313 9995972570 14993958855 17992750626 26989125939 29987917710 44981876565 53978251878 89963753130 134945629695 269891259390 456815946449 913631892898 1370447839347 2284079732245 2740895678694 4111343518041 4568159464490 6852239196735 8222687036082 12334030554123 13704478393470 20556717590205 24668061108246 41113435180410 61670152770615 123340305541230