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131110000 = 245471873
BaseRepresentation
bin1111101000010…
…01010001110000
3100010201002002221
413310021101300
5232031010000
621002050424
73151262620
oct764112160
9303632087
10131110000
116800a97a
1237aa9a14
1321216aa8
14135ac880
15b79c61a
hex7d09470

131110000 has 100 divisors (see below), whose sum is σ = 362971312. Its totient is φ = 44928000.

The previous prime is 131109991. The next prime is 131110003. The reversal of 131110000 is 11131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131110003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 69064 + ... + 70936.

Almost surely, 2131110000 is an apocalyptic number.

131110000 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 131110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181485656).

131110000 is an abundant number, since it is smaller than the sum of its proper divisors (231861312).

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

131110000 is an equidigital number, since it uses as much as digits as its factorization.

131110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1908 (or 1887 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 7.

The square root of 131110000 is about 11450.3275062332. The cubic root of 131110000 is about 508.0174214374.

Adding to 131110000 its reverse (11131), we get a palindrome (131121131).

It can be divided in two parts, 1311 and 10000, that added together give a palindrome (11311).

The spelling of 131110000 in words is "one hundred thirty-one million, one hundred ten thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 625 700 875 1000 1250 1400 1750 1873 2000 2500 2800 3500 3746 4375 5000 7000 7492 8750 9365 10000 13111 14000 14984 17500 18730 26222 29968 35000 37460 46825 52444 65555 70000 74920 93650 104888 131110 149840 187300 209776 234125 262220 327775 374600 468250 524440 655550 749200 936500 1048880 1170625 1311100 1638875 1873000 2341250 2622200 3277750 3746000 4682500 5244400 6555500 8194375 9365000 13111000 16388750 18730000 26222000 32777500 65555000 131110000