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101332020003000 = 233531724167157271
BaseRepresentation
bin10111000010100100110011…
…000011101000000010111000
3111021210020122200221200001220
4113002210303003220002320
5101240210434110044000
6555303142022112040
730225665630305233
oct2702446303500270
9437706580850056
10101332020003000
112a318739631566
12b4469a857b620
134470750c64407
141b046d2bca41a
15baad298331a0
hex5c29330e80b8

101332020003000 has 1536 divisors, whose sum is σ = 352694281605120. Its totient is φ = 24196423680000.

The previous prime is 101332020002981. The next prime is 101332020003037. The reversal of 101332020003000 is 300020233101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 373918892865 + ... + 373918893135.

It is an arithmetic number, because the mean of its divisors is an integer number (229618672920).

Almost surely, 2101332020003000 is an apocalyptic number.

101332020003000 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 101332020003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176347140802560).

101332020003000 is an abundant number, since it is smaller than the sum of its proper divisors (251362261602120).

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

101332020003000 is a wasteful number, since it uses less digits than its factorization.

101332020003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 101332020003000 its reverse (300020233101), we get a palindrome (101632040236101).

The spelling of 101332020003000 in words is "one hundred one trillion, three hundred thirty-two billion, twenty million, three thousand".