Search a number
-
+
245323431252102 = 237241131627154619
BaseRepresentation
bin110111110001111011001111…
…111110011001000010000110
31012011121200122201122011022010
4313301323033332121002012
5224123334341400031402
62225432010052315050
7102450014215412400
oct6761731776310206
91164550581564263
10245323431252102
11711930a0411735
12236213a8912a86
13a6b6b91c6cac8
144481a08893b70
151d5665ac84a6c
hexdf1ecff99086

245323431252102 has 96 divisors (see below), whose sum is σ = 584681488030080. Its totient is φ = 68381876196480.

The previous prime is 245323431252041. The next prime is 245323431252161. The reversal of 245323431252102 is 201252134323542.

It is a super-3 number, since 3×2453234312521023 (a number of 44 digits) contains 333 as substring.

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, 1586554549 + ... + 1586709167.

It is an arithmetic number, because the mean of its divisors is an integer number (6090432166980).

Almost surely, 2245323431252102 is an apocalyptic number.

245323431252102 is an abundant number, since it is smaller than the sum of its proper divisors (339358056777978).

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

245323431252102 is a wasteful number, since it uses less digits than its factorization.

245323431252102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286306 (or 286299 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 39.

Adding to 245323431252102 its reverse (201252134323542), we get a palindrome (446575565575644).

The spelling of 245323431252102 in words is "two hundred forty-five trillion, three hundred twenty-three billion, four hundred thirty-one million, two hundred fifty-two thousand, one hundred two".

Divisors: 1 2 3 6 7 14 21 41 42 49 82 98 123 147 246 287 294 574 861 1722 2009 4018 6027 12054 131627 154619 263254 309238 394881 463857 789762 921389 927714 1082333 1842778 2164666 2764167 3246999 5396707 5528334 6339379 6449723 6493998 7576331 10793414 12678758 12899446 15152662 16190121 19018137 19349169 22728993 32380242 37776949 38036274 38698338 44375653 45457986 75553898 88751306 113330847 133126959 226661694 264438643 266253918 310629571 528877286 621259142 793315929 931888713 1586631858 1863777426 20352035113 40704070226 61056105339 122112210678 142464245791 284928491582 427392737373 834433439633 854785474746 997249720537 1668866879266 1994499441074 2503300318899 2991749161611 5006600637798 5841034077431 5983498323222 11682068154862 17523102232293 35046204464586 40887238542017 81774477084034 122661715626051 245323431252102