Search a number
-
+
141340102200 = 2333521113811723
BaseRepresentation
bin1000001110100010000…
…1101100111000111000
3111111211020100010101000
42003220201230320320
54303431031232300
6144533012525000
713132353021543
oct2035041547070
9444736303330
10141340102200
1154a3a891820
1223486620760
13104363cb18b
146bab5cb85a
153a236d3c00
hex20e886ce38

141340102200 has 384 divisors, whose sum is σ = 531789177600. Its totient is φ = 34219584000.

The previous prime is 141340102147. The next prime is 141340102201. The reversal of 141340102200 is 2201043141.

141340102200 is a `hidden beast` number, since 1 + 41 + 3 + 401 + 0 + 220 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141340102201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82030539 + ... + 82032261.

It is an arithmetic number, because the mean of its divisors is an integer number (1384867650).

Almost surely, 2141340102200 is an apocalyptic number.

141340102200 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 141340102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265894588800).

141340102200 is an abundant number, since it is smaller than the sum of its proper divisors (390449075400).

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

141340102200 is a wasteful number, since it uses less digits than its factorization.

141340102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3140 (or 3125 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 141340102200 its reverse (2201043141), we get a palindrome (143541145341).

The spelling of 141340102200 in words is "one hundred forty-one billion, three hundred forty million, one hundred two thousand, two hundred".