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131301301200 = 24352195758829
BaseRepresentation
bin111101001001000101…
…0101101101111010000
3110112220121120012021120
41322102022231233100
54122401113114300
6140152522322240
712325524434256
oct1722212555720
9415817505246
10131301301200
1150759185a73
1221544659380
13c4c6676b44
1464d82485d6
15363720e3a0
hex1e922adbd0

131301301200 has 120 divisors (see below), whose sum is σ = 442738850400. Its totient is φ = 33170849280.

The previous prime is 131301301193. The next prime is 131301301211. The reversal of 131301301200 is 2103103131.

It is a tau number, because it is divible by the number of its divisors (120).

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 131301301200.

It is a congruent number.

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, 2856615 + ... + 2902214.

It is an arithmetic number, because the mean of its divisors is an integer number (3689490420).

Almost surely, 2131301301200 is an apocalyptic number.

131301301200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131301301200 is an abundant number, since it is smaller than the sum of its proper divisors (311437549200).

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

131301301200 is a wasteful number, since it uses less digits than its factorization.

131301301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5758869 (or 5758858 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 131301301200 its reverse (2103103131), we get a palindrome (133404404331).

The spelling of 131301301200 in words is "one hundred thirty-one billion, three hundred one million, three hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 38 40 48 50 57 60 75 76 80 95 100 114 120 150 152 190 200 228 240 285 300 304 380 400 456 475 570 600 760 912 950 1140 1200 1425 1520 1900 2280 2850 3800 4560 5700 7600 11400 22800 5758829 11517658 17276487 23035316 28794145 34552974 46070632 57588290 69105948 86382435 92141264 109417751 115176580 138211896 143970725 172764870 218835502 230353160 276423792 287941450 328253253 345529740 431912175 437671004 460706320 547088755 575882900 656506506 691059480 863824350 875342008 1094177510 1151765800 1313013012 1382118960 1641266265 1727648700 1750684016 2188355020 2303531600 2626026024 2735443775 3282532530 3455297400 4376710040 5252052048 5470887550 6565065060 6910594800 8206331325 8753420080 10941775100 13130130120 16412662650 21883550200 26260260240 32825325300 43767100400 65650650600 131301301200