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131135150 = 25219223619
BaseRepresentation
bin1111101000011…
…11011010101110
3100010202100121102
413310033122232
5232032311100
621002403102
73151426136
oct764173256
9303670542
10131135150
1168027863
1237b00492
1321225383
14135b7ac6
15b7a4cd5
hex7d0f6ae

131135150 has 48 divisors (see below), whose sum is σ = 258316800. Its totient is φ = 49390560.

The previous prime is 131135143. The next prime is 131135189. The reversal of 131135150 is 51531131.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211541 + ... + 212159.

It is an arithmetic number, because the mean of its divisors is an integer number (5381600).

Almost surely, 2131135150 is an apocalyptic number.

131135150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131135150 is a deficient number, since it is larger than the sum of its proper divisors (127181650).

131135150 is a wasteful number, since it uses less digits than its factorization.

131135150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 20.

The square root of 131135150 is about 11451.4256754345. The cubic root of 131135150 is about 508.0499026142.

Adding to 131135150 its reverse (51531131), we get a palindrome (182666281).

The spelling of 131135150 in words is "one hundred thirty-one million, one hundred thirty-five thousand, one hundred fifty".

Divisors: 1 2 5 10 19 25 38 50 95 190 223 446 475 619 950 1115 1238 2230 3095 4237 5575 6190 8474 11150 11761 15475 21185 23522 30950 42370 58805 105925 117610 138037 211850 276074 294025 588050 690185 1380370 2622703 3450925 5245406 6901850 13113515 26227030 65567575 131135150