Search a number
-
+
103233123131124 = 22371724252476649
BaseRepresentation
bin10111011110001111010101…
…101000100001111011110100
3111112111222201211212220002110
4113132033111220201323310
5102012332414010143444
61003320350404011020
730513230012256630
oct2736172550417364
9445458654786073
10103233123131124
112a990a157a8788
12b6b3330090a70
13457aac33c378c
141b6c71cd2ddc0
15be04e5378cb9
hex5de3d5a21ef4

103233123131124 has 72 divisors (see below), whose sum is σ = 292434314267200. Its totient is φ = 27760167558144.

The previous prime is 103233123131093. The next prime is 103233123131137. The reversal of 103233123131124 is 421131321332301.

It is a super-2 number, since 2×1032331231311242 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103233123131091 and 103233123131100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2126214049 + ... + 2126262600.

Almost surely, 2103233123131124 is an apocalyptic number.

103233123131124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

103233123131124 is an abundant number, since it is smaller than the sum of its proper divisors (189201191136076).

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

103233123131124 is a wasteful number, since it uses less digits than its factorization.

103233123131124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4252476697 (or 4252476678 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

Adding to 103233123131124 its reverse (421131321332301), we get a palindrome (524364444463425).

The spelling of 103233123131124 in words is "one hundred three trillion, two hundred thirty-three billion, one hundred twenty-three million, one hundred thirty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 289 357 476 578 714 867 1156 1428 1734 2023 3468 4046 6069 8092 12138 24276 4252476649 8504953298 12757429947 17009906596 25514859894 29767336543 51029719788 59534673086 72292103033 89302009629 119069346172 144584206066 178604019258 216876309099 289168412132 357208038516 433752618198 506044721231 867505236396 1012089442462 1228965751561 1518134163693 2024178884924 2457931503122 3036268327386 3686897254683 4915863006244 6072536654772 7373794509366 8602760260927 14747589018732 17205520521854 25808280782781 34411041043708 51616561565562 103233123131124