Search a number
-
+
133741011000 = 23353291639431
BaseRepresentation
bin111110010001110010…
…1011110000000111000
3110210012122022021221210
41330203211132000320
54142400144323000
6141234554003120
712443140556652
oct1744345360070
9423178267853
10133741011000
11517a0350063
1221b057164a0
13c7c4c571cc
14668a2836d2
15372b4cb350
hex1f2395e038

133741011000 has 256 divisors, whose sum is σ = 434354918400. Its totient is φ = 34219584000.

The previous prime is 133741010999. The next prime is 133741011013. The reversal of 133741011000 is 110147331.

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, 14176285 + ... + 14185715.

It is an arithmetic number, because the mean of its divisors is an integer number (1696698900).

Almost surely, 2133741011000 is an apocalyptic number.

133741011000 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 133741011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217177459200).

133741011000 is an abundant number, since it is smaller than the sum of its proper divisors (300613907400).

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

133741011000 is a wasteful number, since it uses less digits than its factorization.

133741011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9647 (or 9633 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

Adding to 133741011000 its reverse (110147331), we get a palindrome (133851158331).

The spelling of 133741011000 in words is "one hundred thirty-three billion, seven hundred forty-one million, eleven thousand".