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131043252340 = 2257111323111619
BaseRepresentation
bin111101000001011001…
…0010101100001110100
3110112020121222221210101
41322002302111201310
54121334033033330
6140111143403444
712316242160240
oct1720262254164
9415217887711
10131043252340
1150636555050
1221492153584
13c485076a00
1464b1c75420
15361e73a4ca
hex1e82c95874

131043252340 has 288 divisors, whose sum is σ = 372941936640. Its totient is φ = 37558310400.

The previous prime is 131043252313. The next prime is 131043252343. The reversal of 131043252340 is 43252340131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 131043252299 and 131043252308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131043252343) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 80940051 + ... + 80941669.

It is an arithmetic number, because the mean of its divisors is an integer number (1294937280).

Almost surely, 2131043252340 is an apocalyptic number.

131043252340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131043252340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186470968320).

131043252340 is an abundant number, since it is smaller than the sum of its proper divisors (241898684300).

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

131043252340 is a wasteful number, since it uses less digits than its factorization.

131043252340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1983 (or 1968 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 131043252340 its reverse (43252340131), we get a palindrome (174295592471).

It can be divided in two parts, 131043 and 252340, that added together give a palindrome (383383).

The spelling of 131043252340 in words is "one hundred thirty-one billion, forty-three million, two hundred fifty-two thousand, three hundred forty".