Search a number
-
+
133021322130000 = 2435412913434581
BaseRepresentation
bin11110001111101101110000…
…101001110011001001010000
3122102222201021122121222212110
4132033231300221303021100
5114413410131431130000
61150525052440425320
740006321240113063
oct3617556051631120
9572881248558773
10133021322130000
1139426031535847
1212b0450b778240
13592bb1a675755
1424bc3a2bbc8da
15105a2cab6a850
hex78fb70a73250

133021322130000 has 200 divisors, whose sum is σ = 429743307696736. Its totient is φ = 35444865600000.

The previous prime is 133021322129989. The next prime is 133021322130013. The reversal of 133021322130000 is 31223120331.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 37012710 + ... + 40447290.

Almost surely, 2133021322130000 is an apocalyptic number.

133021322130000 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 133021322130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214871653848368).

133021322130000 is an abundant number, since it is smaller than the sum of its proper divisors (296721985566736).

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

133021322130000 is a wasteful number, since it uses less digits than its factorization.

133021322130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3435903 (or 3435882 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 133021322130000 its reverse (31223120331), we get a palindrome (133052545250331).

The spelling of 133021322130000 in words is "one hundred thirty-three trillion, twenty-one billion, three hundred twenty-two million, one hundred thirty thousand".