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131116700 = 2252111353173
BaseRepresentation
bin1111101000010…
…10111010011100
3100010201102022002
413310022322130
5232031213300
621002141432
73151321301
oct764127234
9303642262
10131116700
1168014a10
1237ab1878
1321219b60
14135b10a8
15b79e5d5
hex7d0ae9c

131116700 has 144 divisors (see below), whose sum is σ = 342540576. Its totient is φ = 42931200.

The previous prime is 131116697. The next prime is 131116709. The reversal of 131116700 is 7611131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131116709) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 757814 + ... + 757986.

It is an arithmetic number, because the mean of its divisors is an integer number (2378754).

Almost surely, 2131116700 is an apocalyptic number.

131116700 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 131116700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171270288).

131116700 is an abundant number, since it is smaller than the sum of its proper divisors (211423876).

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

131116700 is a wasteful number, since it uses less digits than its factorization.

131116700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 20.

The square root of 131116700 is about 11450.6200705464. The cubic root of 131116700 is about 508.0260748804.

Adding to 131116700 its reverse (7611131), we get a palindrome (138727831).

The spelling of 131116700 in words is "one hundred thirty-one million, one hundred sixteen thousand, seven hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 53 55 65 100 106 110 130 143 173 212 220 260 265 275 286 325 346 530 550 572 583 650 689 692 715 865 1060 1100 1166 1300 1325 1378 1430 1730 1903 2249 2332 2650 2756 2860 2915 3445 3460 3575 3806 4325 4498 5300 5830 6890 7150 7579 7612 8650 8996 9169 9515 11245 11660 13780 14300 14575 15158 17225 17300 18338 19030 22490 24739 29150 30316 34450 36676 37895 38060 44980 45845 47575 49478 56225 58300 68900 75790 91690 95150 98956 100859 112450 119197 123695 151580 183380 189475 190300 201718 224900 229225 238394 247390 378950 403436 458450 476788 494780 504295 595985 618475 757900 916900 1008590 1191970 1236950 1311167 2017180 2383940 2473900 2521475 2622334 2979925 5042950 5244668 5959850 6555835 10085900 11919700 13111670 26223340 32779175 65558350 131116700