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131709900 = 223527193301
BaseRepresentation
bin1111101100110…
…11101111001100
3100011211120000110
413312123233030
5232204204100
621023000020
73156341610
oct766335714
9304746013
10131709900
116838a663
1238139010
1321396b6a
14136c7340
15b86a250
hex7d9bbcc

131709900 has 144 divisors (see below), whose sum is σ = 458581760. Its totient is φ = 28512000.

The previous prime is 131709887. The next prime is 131709923. The reversal of 131709900 is 9907131.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 38250 + ... + 41550.

Almost surely, 2131709900 is an apocalyptic number.

131709900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131709900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229290880).

131709900 is an abundant number, since it is smaller than the sum of its proper divisors (326871860).

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

131709900 is a wasteful number, since it uses less digits than its factorization.

131709900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3344 (or 3337 counting only the distinct ones).

The product of its (nonzero) digits is 1701, while the sum is 30.

The square root of 131709900 is about 11476.4933668782. The cubic root of 131709900 is about 508.7910619301.

The spelling of 131709900 in words is "one hundred thirty-one million, seven hundred nine thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 25 28 30 35 38 42 50 57 60 70 75 76 84 95 100 105 114 133 140 150 175 190 210 228 266 285 300 350 380 399 420 475 525 532 570 665 700 798 950 1050 1140 1330 1425 1596 1900 1995 2100 2660 2850 3301 3325 3990 5700 6602 6650 7980 9903 9975 13204 13300 16505 19806 19950 23107 33010 39612 39900 46214 49515 62719 66020 69321 82525 92428 99030 115535 125438 138642 165050 188157 198060 231070 247575 250876 277284 313595 330100 346605 376314 439033 462140 495150 577675 627190 693210 752628 878066 940785 990300 1155350 1254380 1317099 1386420 1567975 1733025 1756132 1881570 2195165 2310700 2634198 3135950 3466050 3763140 4390330 4703925 5268396 6271900 6585495 6932100 8780660 9407850 10975825 13170990 18815700 21951650 26341980 32927475 43903300 65854950 131709900