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131136225 = 35211236911
BaseRepresentation
bin1111101000011…
…11101011100001
3100010202102002020
413310033223201
5232032324400
621002412053
73151432233
oct764175341
9303672066
10131136225
1168028650
1237b01029
13212259cc
14135b8253
15b7a52a0
hex7d0fae1

131136225 has 48 divisors (see below), whose sum is σ = 246841344. Its totient is φ = 60808000.

The previous prime is 131136211. The next prime is 131136259. The reversal of 131136225 is 522631131.

It is not a de Polignac number, because 131136225 - 24 = 131136209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131136195 and 131136204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15520 + ... + 22430.

It is an arithmetic number, because the mean of its divisors is an integer number (5142528).

Almost surely, 2131136225 is an apocalyptic number.

131136225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131136225 is a deficient number, since it is larger than the sum of its proper divisors (115705119).

131136225 is a wasteful number, since it uses less digits than its factorization.

131136225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6958 (or 6953 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 131136225 is about 11451.4726127254. The cubic root of 131136225 is about 508.0512908821.

Adding to 131136225 its reverse (522631131), we get a palindrome (653767356).

The spelling of 131136225 in words is "one hundred thirty-one million, one hundred thirty-six thousand, two hundred twenty-five".

Divisors: 1 3 5 11 15 23 25 33 55 69 75 115 165 253 275 345 575 759 825 1265 1725 3795 6325 6911 18975 20733 34555 76021 103665 158953 172775 228063 380105 476859 518325 794765 1140315 1748483 1900525 2384295 3973825 5245449 5701575 8742415 11921475 26227245 43712075 131136225