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131123232240 = 2435711132692029
BaseRepresentation
bin111101000011110001…
…1011011110111110000
3110112110012111100120220
41322013203123313300
54122020021412430
6140123121533040
712321233040630
oct1720743336760
9415405440526
10131123232240
1150677712140
12214b4aa4180
13c4987cabb0
1464bc7346c0
153626788110
hex1e878dbdf0

131123232240 has 640 divisors, whose sum is σ = 548064921600. Its totient is φ = 25044664320.

The previous prime is 131123232239. The next prime is 131123232241. The reversal of 131123232240 is 42232321131.

It is an interprime number because it is at equal distance from previous prime (131123232239) and next prime (131123232241).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 131123232240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131123232241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 64623546 + ... + 64625574.

It is an arithmetic number, because the mean of its divisors is an integer number (856351440).

Almost surely, 2131123232240 is an apocalyptic number.

131123232240 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 131123232240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274032460800).

131123232240 is an abundant number, since it is smaller than the sum of its proper divisors (416941689360).

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

131123232240 is a wasteful number, since it uses less digits than its factorization.

131123232240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2345 (or 2339 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 131123232240 its reverse (42232321131), we get a palindrome (173355553371).

It can be divided in two parts, 131123 and 232240, that added together give a palindrome (363363).

The spelling of 131123232240 in words is "one hundred thirty-one billion, one hundred twenty-three million, two hundred thirty-two thousand, two hundred forty".