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131041500 = 22353199439
BaseRepresentation
bin1111100111110…
…00100011011100
3100010120121010220
413303320203130
5232021312000
621000401340
73150556122
oct763704334
9303517126
10131041500
1167a73467
1237a76250
13211c1865
1413591912
15b7871a0
hex7cf88dc

131041500 has 96 divisors (see below), whose sum is σ = 384384000. Its totient is φ = 34689600.

The previous prime is 131041489. The next prime is 131041507. The reversal of 131041500 is 5140131.

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 131041500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131041507) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 298281 + ... + 298719.

It is an arithmetic number, because the mean of its divisors is an integer number (4004000).

Almost surely, 2131041500 is an apocalyptic number.

131041500 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 131041500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192192000).

131041500 is an abundant number, since it is smaller than the sum of its proper divisors (253342500).

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

131041500 is a wasteful number, since it uses less digits than its factorization.

131041500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 131041500 is about 11447.3359346182. The cubic root of 131041500 is about 507.9289327496.

Adding to 131041500 its reverse (5140131), we get a palindrome (136181631).

The spelling of 131041500 in words is "one hundred thirty-one million, forty-one thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 199 250 300 375 398 439 500 597 750 796 878 995 1194 1317 1500 1756 1990 2195 2388 2634 2985 3980 4390 4975 5268 5970 6585 8780 9950 10975 11940 13170 14925 19900 21950 24875 26340 29850 32925 43900 49750 54875 59700 65850 74625 87361 99500 109750 131700 149250 164625 174722 219500 262083 298500 329250 349444 436805 524166 658500 873610 1048332 1310415 1747220 2184025 2620830 4368050 5241660 6552075 8736100 10920125 13104150 21840250 26208300 32760375 43680500 65520750 131041500