Search a number
-
+
2010121200 = 2432523715091
BaseRepresentation
bin111011111010000…
…0000001111110000
312012002101201220100
41313310000033300
513104042334300
6531243512400
7100545514443
oct16764001760
95162351810
102010121200
1194172a89a
12481228700
132605ac139
14150d7165a
15bb711700
hex77d003f0

2010121200 has 180 divisors, whose sum is σ = 7164685528. Its totient is φ = 521510400.

The previous prime is 2010121187. The next prime is 2010121213. The reversal of 2010121200 is 21210102.

2010121200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2010121187) and next prime (2010121213).

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 125655 + ... + 140745.

Almost surely, 22010121200 is an apocalyptic number.

2010121200 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 2010121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3582342764).

2010121200 is an abundant number, since it is smaller than the sum of its proper divisors (5154564328).

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

2010121200 is a wasteful number, since it uses less digits than its factorization.

2010121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15152 (or 15138 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2010121200 is about 44834.3752047466. The cubic root of 2010121200 is about 1262.0427936326.

Adding to 2010121200 its reverse (21210102), we get a palindrome (2031331302).

The spelling of 2010121200 in words is "two billion, ten million, one hundred twenty-one thousand, two hundred".