Search a number
-
+
2123110021200 = 2435272294332549
BaseRepresentation
bin11110111001010011001…
…101111111100001010000
321111222010012001220111220
4132321103031333201100
5234241112131134300
64303202052005040
7306250434263460
oct36712315774120
97458105056456
102123110021200
11749451291963
122a3581300780
13125292b74b6c
1474a8ac7bba0
153a36100ada0
hex1ee5337f850

2123110021200 has 480 divisors, whose sum is σ = 7827644832000. Its totient is φ = 481858191360.

The previous prime is 2123110021177. The next prime is 2123110021231. The reversal of 2123110021200 is 21200113212.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2123110021200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 832917526 + ... + 832920074.

It is an arithmetic number, because the mean of its divisors is an integer number (16307593400).

Almost surely, 22123110021200 is an apocalyptic number.

2123110021200 is a gapful number since it is divisible by the number (20) 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 2123110021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3913822416000).

2123110021200 is an abundant number, since it is smaller than the sum of its proper divisors (5704534810800).

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

2123110021200 is a wasteful number, since it uses less digits than its factorization.

2123110021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3239 (or 3228 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 2123110021200 its reverse (21200113212), we get a palindrome (2144310134412).

The spelling of 2123110021200 in words is "two trillion, one hundred twenty-three billion, one hundred ten million, twenty-one thousand, two hundred".