Search a number
-
+
121003010000 = 245441928879
BaseRepresentation
bin111000010110001010…
…1110110011111010000
3102120022220111210112222
41300230111312133100
53440303232310000
6131331002240212
711512365420545
oct1605425663720
9376286453488
10121003010000
1147354054404
121b54b7b6068
13b544c39602
145bdc638bcc
15323307da85
hex1c2c5767d0

121003010000 has 100 divisors (see below), whose sum is σ = 293669745600. Its totient is φ = 48284016000.

The previous prime is 121003009979. The next prime is 121003010021. The reversal of 121003010000 is 10300121.

It is an interprime number because it is at equal distance from previous prime (121003009979) and next prime (121003010021).

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 121003010000.

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 19 ways as a sum of consecutive naturals, for example, 4175561 + ... + 4204439.

It is an arithmetic number, because the mean of its divisors is an integer number (2936697456).

Almost surely, 2121003010000 is an apocalyptic number.

121003010000 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 121003010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146834872800).

121003010000 is an abundant number, since it is smaller than the sum of its proper divisors (172666735600).

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

121003010000 is an equidigital number, since it uses as much as digits as its factorization.

121003010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29326 (or 29305 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 121003010000 its reverse (10300121), we get a palindrome (121013310121).

The spelling of 121003010000 in words is "one hundred twenty-one billion, three million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 419 500 625 838 1000 1250 1676 2000 2095 2500 3352 4190 5000 6704 8380 10000 10475 16760 20950 28879 33520 41900 52375 57758 83800 104750 115516 144395 167600 209500 231032 261875 288790 419000 462064 523750 577580 721975 838000 1047500 1155160 1443950 2095000 2310320 2887900 3609875 4190000 5775800 7219750 11551600 12100301 14439500 18049375 24200602 28879000 36098750 48401204 57758000 60501505 72197500 96802408 121003010 144395000 193604816 242006020 288790000 302507525 484012040 605015050 968024080 1210030100 1512537625 2420060200 3025075250 4840120400 6050150500 7562688125 12100301000 15125376250 24200602000 30250752500 60501505000 121003010000