Search a number
-
+
123023232303312 = 243113049346322067
BaseRepresentation
bin11011111110001110010100…
…000011111000000011010000
3121010120220110120201121012210
4123332032110003320003100
5112111103034432201222
61113352032005152120
734625064244566045
oct3376162403700320
9533526416647183
10123023232303312
1136220950476260
121196a8876bb640
13538506c1a34c3
1422544db6451cc
15e351b3794d0c
hex6fe3940f80d0

123023232303312 has 160 divisors (see below), whose sum is σ = 346931416396800. Its totient is φ = 37255090498560.

The previous prime is 123023232303269. The next prime is 123023232303371. The reversal of 123023232303312 is 213303232320321.

It is a self number, because there is not a number n which added to its sum of digits gives 123023232303312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5574975703 + ... + 5574997769.

It is an arithmetic number, because the mean of its divisors is an integer number (2168321352480).

Almost surely, 2123023232303312 is an apocalyptic number.

123023232303312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123023232303312 is an abundant number, since it is smaller than the sum of its proper divisors (223908184093488).

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

123023232303312 is a wasteful number, since it uses less digits than its factorization.

123023232303312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28601 (or 28595 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 30.

Adding to 123023232303312 its reverse (213303232320321), we get a palindrome (336326464623633).

The spelling of 123023232303312 in words is "one hundred twenty-three trillion, twenty-three billion, two hundred thirty-two million, three hundred three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 3049 3463 6098 6926 9147 10389 12196 13852 18294 20778 22067 24392 27704 33539 36588 38093 41556 44134 48784 55408 66201 67078 73176 76186 83112 88268 100617 114279 132402 134156 146352 152372 166224 176536 201234 228558 242737 264804 268312 304744 353072 402468 457116 485474 529608 536624 609488 728211 804936 914232 970948 1059216 1456422 1609872 1828464 1941896 2912844 3883792 5825688 10558687 11651376 21117374 31676061 42234748 63352122 67282283 76418021 84469496 116145557 126704244 134564566 152836042 168938992 201846849 229254063 232291114 253408488 269129132 305672084 348436671 403693698 458508126 464582228 506816976 538258264 611344168 696873342 740105113 807387396 840598231 917016252 929164456 1076516528 1222688336 1393746684 1480210226 1614774792 1681196462 1834032504 1858328912 2220315339 2521794693 2787493368 2960420452 3229549584 3362392924 3668065008 4440630678 5043589386 5574986736 5920840904 6724785848 8881261356 10087178772 11841681808 13449571696 17762522712 20174357544 35525045424 40348715088 232998546029 465997092058 698995638087 931994184116 1397991276174 1863988368232 2562984006319 2795982552348 3727976736464 5125968012638 5591965104696 7688952018957 10251936025276 11183930209392 15377904037914 20503872050552 30755808075828 41007744101104 61511616151656 123023232303312