Search a number
-
+
131000343100110 = 232511669771975657
BaseRepresentation
bin11101110010010011100100…
…111010100111101011001110
3122011211111210011001000010100
4131302103210322213223032
5114132302200313200420
61142340420554151530
736410314423566411
oct3562234472475316
9564744704030110
10131000343100110
1138816a2a565330
12128388b1a225a6
13581338295c433
14244c643dd7b78
151022945ed4190
hex7724e4ea7ace

131000343100110 has 96 divisors (see below), whose sum is σ = 371570345239392. Its totient is φ = 31757168701440.

The previous prime is 131000343100093. The next prime is 131000343100147. The reversal of 131000343100110 is 11001343000131.

131000343100110 is a `hidden beast` number, since 1 + 310 + 0 + 0 + 34 + 310 + 0 + 1 + 10 = 666.

It is a super-2 number, since 2×1310003431001102 (a number of 29 digits) contains 22 as substring.

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

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, 65319402 + ... + 67295058.

It is an arithmetic number, because the mean of its divisors is an integer number (3870524429577).

Almost surely, 2131000343100110 is an apocalyptic number.

131000343100110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131000343100110 is an abundant number, since it is smaller than the sum of its proper divisors (240570002139282).

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

131000343100110 is a wasteful number, since it uses less digits than its factorization.

131000343100110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042658 (or 2042655 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 131000343100110 its reverse (11001343000131), we get a palindrome (142001686100241).

The spelling of 131000343100110 in words is "one hundred thirty-one trillion, three hundred forty-three million, one hundred thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 66977 133954 200931 334885 401862 602793 669770 736747 1004655 1205586 1473494 1975657 2009310 2210241 3013965 3683735 3951314 4420482 5926971 6027930 6630723 7367470 9878285 11051205 11853942 13261446 17780913 19756570 21732227 22102410 29634855 33153615 35561826 43464454 59269710 65196681 66307230 88904565 108661135 130393362 177809130 195590043 217322270 325983405 391180086 651966810 977950215 1955900430 132323578889 264647157778 396970736667 661617894445 793941473334 1190912210001 1323235788890 1455559367779 1984853683335 2381824420002 2911118735558 3969707366670 4366678103337 5954561050005 7277796838895 8733356206674 11909122100010 13100034310011 14555593677790 21833390516685 26200068620022 43666781033370 65500171550055 131000343100110