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133121010000 = 24354112317539
BaseRepresentation
bin111101111111010100…
…0010110100101010000
3110201121102122222110210
41323332220112211100
54140112434310000
6141053245124120
712421601625606
oct1737650264520
9421542588423
10133121010000
1151502381140
1221971b59640
13c726677904
14662bbb1876
1536e1d5c350
hex1efea16950

133121010000 has 400 divisors, whose sum is σ = 489209402880. Its totient is φ = 30866880000.

The previous prime is 133121009971. The next prime is 133121010037. The reversal of 133121010000 is 10121331.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7581231 + ... + 7598769.

Almost surely, 2133121010000 is an apocalyptic number.

133121010000 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 133121010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244604701440).

133121010000 is an abundant number, since it is smaller than the sum of its proper divisors (356088392880).

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

133121010000 is a wasteful number, since it uses less digits than its factorization.

133121010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17604 (or 17583 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 133121010000 its reverse (10121331), we get a palindrome (133131131331).

The spelling of 133121010000 in words is "one hundred thirty-three billion, one hundred twenty-one million, ten thousand".