Search a number
-
+
130123011231312 = 243119971663148639
BaseRepresentation
bin11101100101100010011111…
…110111001000111001010000
3122001201122020101100022001220
4131211202133313020321100
5114023413411333400222
61140425404111325040
736260035344005061
oct3545423767107120
9561648211308056
10130123011231312
113850894a5a3a70
1212716865220780
13577b716586c18
14241bdb73d2568
151009be8ab0b5c
hex76589fdc8e50

130123011231312 has 160 divisors (see below), whose sum is σ = 367301321687040. Its totient is φ = 39367713692160.

The previous prime is 130123011231307. The next prime is 130123011231331. The reversal of 130123011231312 is 213132110321031.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 875355489 + ... + 875504127.

It is an arithmetic number, because the mean of its divisors is an integer number (2295633260544).

Almost surely, 2130123011231312 is an apocalyptic number.

130123011231312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130123011231312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183650660843520).

130123011231312 is an abundant number, since it is smaller than the sum of its proper divisors (237178310455728).

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

130123011231312 is a wasteful number, since it uses less digits than its factorization.

130123011231312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151321 (or 151315 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 130123011231312 its reverse (213132110321031), we get a palindrome (343255121552343).

The spelling of 130123011231312 in words is "one hundred thirty trillion, one hundred twenty-three billion, eleven million, two hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 997 1663 1994 2991 3326 3988 4989 5982 6652 7976 9978 10967 11964 13304 15952 18293 19956 21934 23928 26608 32901 36586 39912 43868 47856 54879 65802 73172 79824 87736 109758 131604 146344 148639 175472 219516 263208 292688 297278 439032 445917 526416 594556 878064 891834 1189112 1635029 1658011 1783668 2378224 3270058 3316022 3567336 4905087 4974033 6540116 6632044 7134672 9810174 9948066 13080232 13264088 18238121 19620348 19896132 26160464 26528176 36476242 39240696 39792264 54714363 72952484 78481392 79584528 109428726 145904968 148193083 218857452 247186657 291809936 296386166 437714904 444579249 494373314 592772332 741559971 875429808 889158498 988746628 1185544664 1483119942 1630123913 1778316996 1977493256 2371089328 2719053227 2966239884 3260247826 3556633992 3954986512 4890371739 5438106454 5932479768 6520495652 7113267984 8157159681 9780743478 10876212908 11864959536 13040991304 16314319362 19561486956 21752425816 26081982608 32628638724 39122973912 43504851632 65257277448 78245947824 130514554896 246445097029 492890194058 739335291087 985780388116 1478670582174 1971560776232 2710896067319 2957341164348 3943121552464 5421792134638 5914682328696 8132688201957 10843584269276 11829364657392 16265376403914 21687168538552 32530752807828 43374337077104 65061505615656 130123011231312