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131210320200 = 23352297540823
BaseRepresentation
bin111101000110010111…
…1101001100101001000
3110112200021100212210220
41322030233221211020
54122204320221300
6140135512310040
712323341214451
oct1721457514510
9415607325726
10131210320200
1150711894663
122151a0a2320
13c4b087052b
1464ca124128
15362e23bda0
hex1e8cbe9948

131210320200 has 96 divisors (see below), whose sum is σ = 420777979200. Its totient is φ = 33782882560.

The previous prime is 131210320187. The next prime is 131210320211. The reversal of 131210320200 is 2023012131.

131210320200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1312103202002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 131210320200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3753012 + ... + 3787811.

It is an arithmetic number, because the mean of its divisors is an integer number (4383103950).

Almost surely, 2131210320200 is an apocalyptic number.

131210320200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131210320200 is an abundant number, since it is smaller than the sum of its proper divisors (289567659000).

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

131210320200 is a wasteful number, since it uses less digits than its factorization.

131210320200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7540871 (or 7540862 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 131210320200 its reverse (2023012131), we get a palindrome (133233332331).

The spelling of 131210320200 in words is "one hundred thirty-one billion, two hundred ten million, three hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 29 30 40 50 58 60 75 87 100 116 120 145 150 174 200 232 290 300 348 435 580 600 696 725 870 1160 1450 1740 2175 2900 3480 4350 5800 8700 17400 7540823 15081646 22622469 30163292 37704115 45244938 60326584 75408230 90489876 113112345 150816460 180979752 188520575 218683867 226224690 301632920 377041150 437367734 452449380 565561725 656051601 754082300 874735468 904898760 1093419335 1131123450 1312103202 1508164600 1749470936 2186838670 2262246900 2624206404 3280258005 4373677340 4524493800 5248412808 5467096675 6560516010 8747354680 10934193350 13121032020 16401290025 21868386700 26242064040 32802580050 43736773400 65605160100 131210320200