Search a number
-
+
10201322230000 = 245411787117839
BaseRepresentation
bin1001010001110010111000…
…1100000001000011110000
31100010020101200112011220021
42110130232030001003300
52314114301442330000
633410231151053224
72102010163146256
oct224345614010360
940106350464807
1010201322230000
1132833a14a6190
121189102211214
1358cc99396ac5
14273a64a7a5d6
1512a55e4e911a
hex9472e3010f0

10201322230000 has 200 divisors, whose sum is σ = 26978197213440. Its totient is φ = 3704826720000.

The previous prime is 10201322229983. The next prime is 10201322230007. The reversal of 10201322230000 is 3222310201.

Adding to 10201322230000 its reverse (3222310201), we get a palindrome (10204544540201).

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201322230007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 86511081 + ... + 86628919.

Almost surely, 210201322230000 is an apocalyptic number.

10201322230000 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 10201322230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13489098606720).

10201322230000 is an abundant number, since it is smaller than the sum of its proper divisors (16776874983440).

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

10201322230000 is a wasteful number, since it uses less digits than its factorization.

10201322230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118665 (or 118644 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The spelling of 10201322230000 in words is "ten trillion, two hundred one billion, three hundred twenty-two million, two hundred thirty thousand".