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131041115504 = 241321719592543
BaseRepresentation
bin111101000001010101…
…0001011110101110000
3110112020110222101121022
41322002222023311300
54121333011144004
6140111025515012
712316215050345
oct1720252136560
9415213871538
10131041115504
1150635325672
12214914a2a68
13c4847a9200
1464b187a7cc
15361e4672be
hex1e82a8bd70

131041115504 has 240 divisors, whose sum is σ = 311733619200. Its totient is φ = 52992036864.

The previous prime is 131041115501. The next prime is 131041115539. The reversal of 131041115504 is 405511140131.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131041115501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51528857 + ... + 51531399.

It is an arithmetic number, because the mean of its divisors is an integer number (1298890080).

Almost surely, 2131041115504 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 131041115504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155866809600).

131041115504 is an abundant number, since it is smaller than the sum of its proper divisors (180692503696).

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

131041115504 is a wasteful number, since it uses less digits than its factorization.

131041115504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2672 (or 2653 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 26.

Adding to 131041115504 its reverse (405511140131), we get a palindrome (536552255635).

The spelling of 131041115504 in words is "one hundred thirty-one billion, forty-one million, one hundred fifteen thousand, five hundred four".