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101330130000 = 2435411674583
BaseRepresentation
bin101111001011110111…
…1110001010001010000
3100200112212111221120210
41132113233301101100
53130011003130000
6114314520204120
710215024615351
oct1362757612120
9320485457523
10101330130000
1139a792424a0
121777b309640
13972b266908
144c93985d28
152980dcc350
hex1797bf1450

101330130000 has 400 divisors, whose sum is σ = 362249243136. Its totient is φ = 24192960000.

The previous prime is 101330129983. The next prime is 101330130007. The reversal of 101330130000 is 31033101.

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 not an unprimeable number, because it can be changed into a prime (101330130007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22107709 + ... + 22112291.

Almost surely, 2101330130000 is an apocalyptic number.

101330130000 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 101330130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181124621568).

101330130000 is an abundant number, since it is smaller than the sum of its proper divisors (260919113136).

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

101330130000 is a wasteful number, since it uses less digits than its factorization.

101330130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4692 (or 4671 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 101330130000 its reverse (31033101), we get a palindrome (101361163101).

The spelling of 101330130000 in words is "one hundred one billion, three hundred thirty million, one hundred thirty thousand".