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131360700 = 223521743599
BaseRepresentation
bin1111101010001…
…10011110111100
3100011011211000010
413311012132330
5232112020300
621011303220
73153355542
oct765063674
9304154003
10131360700
1168171269
1237baab10
13212a3c33
1413635d92
15b7eba50
hex7d467bc

131360700 has 144 divisors (see below), whose sum is σ = 412473600. Its totient is φ = 32148480.

The previous prime is 131360687. The next prime is 131360711. The reversal of 131360700 is 7063131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 219001 + ... + 219599.

It is an arithmetic number, because the mean of its divisors is an integer number (2864400).

Almost surely, 2131360700 is an apocalyptic number.

131360700 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 131360700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206236800).

131360700 is an abundant number, since it is smaller than the sum of its proper divisors (281112900).

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

131360700 is a wasteful number, since it uses less digits than its factorization.

131360700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 131360700 is about 11461.2695631854. The cubic root of 131360700 is about 508.3410145455.

The spelling of 131360700 in words is "one hundred thirty-one million, three hundred sixty thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 43 50 51 60 68 75 85 86 100 102 129 150 170 172 204 215 255 258 300 340 425 430 510 516 599 645 731 850 860 1020 1075 1198 1275 1290 1462 1700 1797 2150 2193 2396 2550 2580 2924 2995 3225 3594 3655 4300 4386 5100 5990 6450 7188 7310 8772 8985 10183 10965 11980 12900 14620 14975 17970 18275 20366 21930 25757 29950 30549 35940 36550 40732 43860 44925 50915 51514 54825 59900 61098 73100 77271 89850 101830 103028 109650 122196 128785 152745 154542 179700 203660 219300 254575 257570 305490 309084 386355 437869 509150 515140 610980 643925 763725 772710 875738 1018300 1287850 1313607 1527450 1545420 1751476 1931775 2189345 2575700 2627214 3054900 3863550 4378690 5254428 6568035 7727100 8757380 10946725 13136070 21893450 26272140 32840175 43786900 65680350 131360700