Search a number
-
+
102003312330 = 232531266313729
BaseRepresentation
bin101111011111111011…
…1110000011011001010
3100202021210020011010200
41132333313300123022
53132400321443310
6114505404553030
710240510564143
oct1367767603312
9322253204120
10102003312330
113a294235327
1217928852776
13980787665a
144d1913caca
1529c00539c0
hex17bfdf06ca

102003312330 has 96 divisors (see below), whose sum is σ = 273886479360. Its totient is φ = 26311633920.

The previous prime is 102003312311. The next prime is 102003312379. The reversal of 102003312330 is 33213300201.

102003312330 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 0 + 331 + 2 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 7422906 + ... + 7436634.

It is an arithmetic number, because the mean of its divisors is an integer number (2852984160).

Almost surely, 2102003312330 is an apocalyptic number.

102003312330 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 102003312330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136943239680).

102003312330 is an abundant number, since it is smaller than the sum of its proper divisors (171883167030).

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

102003312330 is a wasteful number, since it uses less digits than its factorization.

102003312330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16436 (or 16433 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 102003312330 its reverse (33213300201), we get a palindrome (135216612531).

The spelling of 102003312330 in words is "one hundred two billion, three million, three hundred twelve thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 930 1395 2663 2790 5326 7989 13315 13729 15978 23967 26630 27458 39945 41187 47934 68645 79890 82374 82553 119835 123561 137290 165106 205935 239670 247122 247659 411870 412765 425599 495318 617805 742977 825530 851198 1235610 1238295 1276797 1485954 2127995 2476590 2553594 3714885 3830391 4255990 6383985 7429770 7660782 12767970 19151955 36560327 38303910 73120654 109680981 182801635 219361962 329042943 365603270 548404905 658085886 1096809810 1133370137 1645214715 2266740274 3290429430 3400110411 5666850685 6800220822 10200331233 11333701370 17000552055 20400662466 34001104110 51001656165 102003312330