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131441055132 = 2232343891071163
BaseRepresentation
bin111101001101001111…
…1110101010110011100
3110120021100112102122010
41322122133311112130
54123142402231012
6140214433551220
712332142351162
oct1723237652634
9416240472563
10131441055132
115082005a192
1221583415510
13c5195c918a
14650ca27232
153644617c3c
hex1e9a7f559c

131441055132 has 192 divisors, whose sum is σ = 334534717440. Its totient is φ = 40061446656.

The previous prime is 131441055121. The next prime is 131441055167. The reversal of 131441055132 is 231550144131.

It is a self number, because there is not a number n which added to its sum of digits gives 131441055132.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 113018383 + ... + 113019545.

It is an arithmetic number, because the mean of its divisors is an integer number (1742368320).

Almost surely, 2131441055132 is an apocalyptic number.

131441055132 is a gapful number since it is divisible by the number (12) 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 131441055132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167267358720).

131441055132 is an abundant number, since it is smaller than the sum of its proper divisors (203093662308).

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

131441055132 is a wasteful number, since it uses less digits than its factorization.

131441055132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 131441055132 its reverse (231550144131), we get a palindrome (362991199263).

The spelling of 131441055132 in words is "one hundred thirty-one billion, four hundred forty-one million, fifty-five thousand, one hundred thirty-two".