Search a number
-
+
131201443131420 = 22351910110729106207
BaseRepresentation
bin11101110101001110110111…
…011010010111000000011100
3122012112201212011020001220010
4131311032313122113000130
5114144101023420201140
61143013035541523220
736430664032626654
oct3565166732270034
9565481764201803
10131201443131420
1138894246262312
121286b875a13510
135829320b405bc
142458280225364
151027cb5ce8880
hex7753b769701c

131201443131420 has 192 divisors, whose sum is σ = 390567769804800. Its totient is φ = 32814085478400.

The previous prime is 131201443131391. The next prime is 131201443131443. The reversal of 131201443131420 is 24131344102131.

131201443131420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1235283957 + ... + 1235390163.

It is an arithmetic number, because the mean of its divisors is an integer number (2034207134400).

Almost surely, 2131201443131420 is an apocalyptic number.

131201443131420 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 131201443131420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195283884902400).

131201443131420 is an abundant number, since it is smaller than the sum of its proper divisors (259366326673380).

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

131201443131420 is a wasteful number, since it uses less digits than its factorization.

131201443131420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117068 (or 117066 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 131201443131420 its reverse (24131344102131), we get a palindrome (155332787233551).

The spelling of 131201443131420 in words is "one hundred thirty-one trillion, two hundred one billion, four hundred forty-three million, one hundred thirty-one thousand, four hundred twenty".