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131411000 = 2353718773
BaseRepresentation
bin1111101010100…
…10110000111000
3100011021101000002
413311102300320
5232120123000
621012332132
73153655310
oct765226070
9304241002
10131411000
11681a6036
1238014048
13212c0ab6
141364a440
15b80b8d5
hex7d52c38

131411000 has 64 divisors (see below), whose sum is σ = 351449280. Its totient is φ = 45052800.

The previous prime is 131410991. The next prime is 131411057. The reversal of 131411000 is 114131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2387 + ... + 16386.

It is an arithmetic number, because the mean of its divisors is an integer number (5491395).

Almost surely, 2131411000 is an apocalyptic number.

131411000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131411000 is an abundant number, since it is smaller than the sum of its proper divisors (220038280).

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

131411000 is a wasteful number, since it uses less digits than its factorization.

131411000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18801 (or 18787 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 131411000 is about 11463.4636999469. The cubic root of 131411000 is about 508.4058900881.

Adding to 131411000 its reverse (114131), we get a palindrome (131525131).

It can be divided in two parts, 13141 and 1000, that added together give a palindrome (14141).

The spelling of 131411000 in words is "one hundred thirty-one million, four hundred eleven thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 7000 18773 37546 75092 93865 131411 150184 187730 262822 375460 469325 525644 657055 750920 938650 1051288 1314110 1877300 2346625 2628220 3285275 3754600 4693250 5256440 6570550 9386500 13141100 16426375 18773000 26282200 32852750 65705500 131411000