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131134356 = 22338314629
BaseRepresentation
bin1111101000011…
…11001110010100
3100010202022112000
413310033032110
5232032244411
621002355300
73151423623
oct764171624
9303668460
10131134356
1168027201
1237abbb30
1321224bc2
14135b76ba
15b7a4956
hex7d0f394

131134356 has 48 divisors (see below), whose sum is σ = 344097600. Its totient is φ = 43181856.

The previous prime is 131134337. The next prime is 131134357. The reversal of 131134356 is 653431131.

131134356 is a `hidden beast` number, since 1 + 311 + 343 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131134357) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1650 + ... + 16278.

It is an arithmetic number, because the mean of its divisors is an integer number (7168700).

Almost surely, 2131134356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131134356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172048800).

131134356 is an abundant number, since it is smaller than the sum of its proper divisors (212963244).

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

131134356 is a wasteful number, since it uses less digits than its factorization.

131134356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14725 (or 14717 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 131134356 is about 11451.3910072096. The cubic root of 131134356 is about 508.0488772282.

Adding to 131134356 its reverse (653431131), we get a palindrome (784565487).

The spelling of 131134356 in words is "one hundred thirty-one million, one hundred thirty-four thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 83 108 166 249 332 498 747 996 1494 2241 2988 4482 8964 14629 29258 43887 58516 87774 131661 175548 263322 394983 526644 789966 1214207 1579932 2428414 3642621 4856828 7285242 10927863 14570484 21855726 32783589 43711452 65567178 131134356