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131301100 = 22527187573
BaseRepresentation
bin1111101001101…
…11111011101100
3100011001210020201
413310313323230
5232103113400
621010123244
73153020020
oct764677354
9304053221
10131301100
1168130507
1237b80524
1321282a78
141361c380
15b7d906a
hex7d37eec

131301100 has 36 divisors (see below), whose sum is σ = 325628464. Its totient is φ = 45017280.

The previous prime is 131301041. The next prime is 131301101. The reversal of 131301100 is 1103131.

It is a super-2 number, since 2×1313011002 = 34479957722420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131301101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93087 + ... + 94486.

Almost surely, 2131301100 is an apocalyptic number.

131301100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131301100 is an abundant number, since it is smaller than the sum of its proper divisors (194327364).

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

131301100 is a wasteful number, since it uses less digits than its factorization.

131301100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187594 (or 187587 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 131301100 is about 11458.6692071985. The cubic root of 131301100 is about 508.2641226803.

Adding to 131301100 its reverse (1103131), we get a palindrome (132404231).

The spelling of 131301100 in words is "one hundred thirty-one million, three hundred one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 187573 375146 750292 937865 1313011 1875730 2626022 3751460 4689325 5252044 6565055 9378650 13130110 18757300 26260220 32825275 65650550 131301100