Search a number
-
+
131314311202332 = 223172239287493347
BaseRepresentation
bin11101110110110111111110…
…110111111000011000011100
3122012221112012010102010220210
4131312313332313320120130
5114202423202131433312
61143140543424212420
736442101021456126
oct3566677667703034
9565845163363823
10131314311202332
11389280a5353565
121288971516a110
135836b6a5ac18b
14245d90a2ac216
15102abbeac4e3c
hex776dfedf861c

131314311202332 has 48 divisors (see below), whose sum is σ = 324568490158080. Its totient is φ = 41178246934272.

The previous prime is 131314311202313. The next prime is 131314311202363. The reversal of 131314311202332 is 233202113413131.

It is a self number, because there is not a number n which added to its sum of digits gives 131314311202332.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143289918 + ... + 144203429.

It is an arithmetic number, because the mean of its divisors is an integer number (6761843544960).

Almost surely, 2131314311202332 is an apocalyptic number.

131314311202332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131314311202332 is an abundant number, since it is smaller than the sum of its proper divisors (193254178955748).

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

131314311202332 is a wasteful number, since it uses less digits than its factorization.

131314311202332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287495610 (or 287495608 counting only the distinct ones).

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

Adding to 131314311202332 its reverse (233202113413131), we get a palindrome (364516424615463).

The spelling of 131314311202332 in words is "one hundred thirty-one trillion, three hundred fourteen billion, three hundred eleven million, two hundred two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 2239 4478 6717 8956 13434 26868 38063 76126 114189 152252 228378 456756 287493347 574986694 862480041 1149973388 1724960082 3449920164 4887386899 9774773798 14662160697 19549547596 29324321394 58648642788 643697603933 1287395207866 1931092811799 2574790415732 3862185623598 7724371247196 10942859266861 21885718533722 32828577800583 43771437067444 65657155601166 131314311202332