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131342512 = 2472367761
BaseRepresentation
bin1111101010000…
…10000010110000
3100011010220001111
413311002002300
5232110430022
621011043104
73153251530
oct765020260
9304126044
10131342512
1168159634
1237ba0494
1321298882
141362d4c0
15b7e6477
hex7d420b0

131342512 has 80 divisors (see below), whose sum is σ = 308408832. Its totient is φ = 52968960.

The previous prime is 131342501. The next prime is 131342513. The reversal of 131342512 is 215243131.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (131342513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172212 + ... + 172972.

Almost surely, 2131342512 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 131342512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154204416).

131342512 is an abundant number, since it is smaller than the sum of its proper divisors (177066320).

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

131342512 is a wasteful number, since it uses less digits than its factorization.

131342512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 860 counting only the distinct ones).

The product of its digits is 720, while the sum is 22.

The square root of 131342512 is about 11460.4760808616. The cubic root of 131342512 is about 508.3175520915.

Adding to 131342512 its reverse (215243131), we get a palindrome (346585643).

The spelling of 131342512 in words is "one hundred thirty-one million, three hundred forty-two thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 67 92 112 134 161 184 268 322 368 469 536 644 761 938 1072 1288 1522 1541 1876 2576 3044 3082 3752 5327 6088 6164 7504 10654 10787 12176 12328 17503 21308 21574 24656 35006 42616 43148 50987 70012 85232 86296 101974 122521 140024 172592 203948 245042 280048 356909 407896 490084 713818 815792 980168 1172701 1427636 1960336 2345402 2855272 4690804 5710544 8208907 9381608 16417814 18763216 32835628 65671256 131342512