Search a number
-
+
123123313154142 = 23273794027640249
BaseRepresentation
bin11011111111101011100001…
…010110000001100001011110
3121010221110210101111120221200
4123333223201112001201132
5112114223021131413032
61113510022541140330
734635236323023210
oct3377534126014136
9533843711446850
10123123313154142
113625a338503824
121198615855a6a6
13539162b680672
1422592b33105b0
15e37abeb5047c
hex6ffae158185e

123123313154142 has 96 divisors (see below), whose sum is σ = 305757585120000. Its totient is φ = 35076504000384.

The previous prime is 123123313154131. The next prime is 123123313154159. The reversal of 123123313154142 is 241451313321321.

123123313154142 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 2 + 331 + 315 + 4 + 1 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 123123313154097 and 123123313154106.

It is a congruent number.

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, 191985234 + ... + 192625482.

It is an arithmetic number, because the mean of its divisors is an integer number (3184974845000).

Almost surely, 2123123313154142 is an apocalyptic number.

123123313154142 is an abundant number, since it is smaller than the sum of its proper divisors (182634271965858).

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

123123313154142 is a wasteful number, since it uses less digits than its factorization.

123123313154142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644670 (or 644667 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

Adding to 123123313154142 its reverse (241451313321321), we get a palindrome (364574626475463).

The spelling of 123123313154142 in words is "one hundred twenty-three trillion, one hundred twenty-three billion, three hundred thirteen million, one hundred fifty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 379 758 1137 2274 2653 3411 4027 5306 6822 7959 8054 12081 15918 23877 24162 28189 36243 47754 56378 72486 84567 169134 253701 507402 640249 1280498 1526233 1920747 3052466 3841494 4481743 4578699 5762241 8963486 9157398 10683631 11524482 13445229 13736097 21367262 26890458 27472194 32050893 40335687 64101786 80671374 96152679 192305358 242654371 485308742 727963113 1455926226 1698580597 2183889339 2578282723 3397161194 4367778678 5095741791 5156565446 7734848169 10191483582 15287225373 15469696338 18047979061 23204544507 30574450746 36095958122 46409089014 54143937183 108287874366 162431811549 324863623098 977169152017 1954338304034 2931507456051 5863014912102 6840184064119 8794522368153 13680368128238 17589044736306 20520552192357 41041104384714 61561656577071 123123313154142