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131103120 = 2435546263
BaseRepresentation
bin1111101000001…
…11100110010000
3100010200201200010
413310013212100
5232030244440
621001554520
73151233561
oct764074620
9303621603
10131103120
1168005795
1237aa5a40
1321213915
14135aa168
15b79a580
hex7d07990

131103120 has 40 divisors (see below), whose sum is σ = 406420416. Its totient is φ = 34960768.

The previous prime is 131103103. The next prime is 131103127. The reversal of 131103120 is 21301131.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 131103096 and 131103105.

It is not an unprimeable number, because it can be changed into a prime (131103127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 272892 + ... + 273371.

Almost surely, 2131103120 is an apocalyptic number.

131103120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131103120 is an abundant number, since it is smaller than the sum of its proper divisors (275317296).

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

131103120 is a wasteful number, since it uses less digits than its factorization.

131103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546279 (or 546273 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 131103120 is about 11450.0270742038. The cubic root of 131103120 is about 508.0085352070.

Adding to 131103120 its reverse (21301131), we get a palindrome (152404251).

The spelling of 131103120 in words is "one hundred thirty-one million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 546263 1092526 1638789 2185052 2731315 3277578 4370104 5462630 6555156 8193945 8740208 10925260 13110312 16387890 21850520 26220624 32775780 43701040 65551560 131103120