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131875700 = 2252111011187
BaseRepresentation
bin1111101110001…
…00001101110100
3100012010222110012
413313010031310
5232230010300
621030315352
73160632155
oct767041564
9305128405
10131875700
1168493190
12381b8b58
1321424478
141372b92c
15b89e435
hex7dc4374

131875700 has 72 divisors (see below), whose sum is σ = 315542304. Its totient is φ = 47440000.

The previous prime is 131875697. The next prime is 131875769. The reversal of 131875700 is 7578131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110507 + ... + 111693.

It is an arithmetic number, because the mean of its divisors is an integer number (4382532).

Almost surely, 2131875700 is an apocalyptic number.

131875700 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 131875700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157771152).

131875700 is an abundant number, since it is smaller than the sum of its proper divisors (183666604).

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

131875700 is a wasteful number, since it uses less digits than its factorization.

131875700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 32.

The square root of 131875700 is about 11483.7145558395. The cubic root of 131875700 is about 509.0044657457.

The spelling of 131875700 in words is "one hundred thirty-one million, eight hundred seventy-five thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 404 505 550 1010 1100 1111 1187 2020 2222 2374 2525 4444 4748 5050 5555 5935 10100 11110 11870 13057 22220 23740 26114 27775 29675 52228 55550 59350 65285 111100 118700 119887 130570 239774 261140 326425 479548 599435 652850 1198870 1305700 1318757 2397740 2637514 2997175 5275028 5994350 6593785 11988700 13187570 26375140 32968925 65937850 131875700