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131143100 = 225211177013
BaseRepresentation
bin1111101000100…
…01010110111100
3100010202202111212
413310101112330
5232033034400
621002503552
73151461254
oct764212674
9303682455
10131143100
1168032830
1237b04bb8
1321228b8a
14135ba964
15b7a7335
hex7d115bc

131143100 has 72 divisors (see below), whose sum is σ = 328760208. Its totient is φ = 44876800.

The previous prime is 131143093. The next prime is 131143123. The reversal of 131143100 is 1341131.

131143100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1311431002 = 34397025355220000, which contains 22 as substring.

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, 15194 + ... + 22206.

It is an arithmetic number, because the mean of its divisors is an integer number (4566114).

Almost surely, 2131143100 is an apocalyptic number.

131143100 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 131143100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164380104).

131143100 is an abundant number, since it is smaller than the sum of its proper divisors (197617108).

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

131143100 is a wasteful number, since it uses less digits than its factorization.

131143100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7055 (or 7048 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 131143100 is about 11451.7727885249. The cubic root of 131143100 is about 508.0601691601.

Adding to 131143100 its reverse (1341131), we get a palindrome (132484231).

The spelling of 131143100 in words is "one hundred thirty-one million, one hundred forty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 110 170 187 220 275 340 374 425 550 748 850 935 1100 1700 1870 3740 4675 7013 9350 14026 18700 28052 35065 70130 77143 119221 140260 154286 175325 238442 308572 350650 385715 476884 596105 701300 771430 1192210 1311431 1542860 1928575 2384420 2622862 2980525 3857150 5245724 5961050 6557155 7714300 11922100 13114310 26228620 32785775 65571550 131143100