Search a number
-
+
2151021141200 = 24522910315711467
BaseRepresentation
bin11111010011010010110…
…110011101110011010000
321121122011100202201020002
4133103102312131303100
5240220242403004300
64324055424105132
7311256211011251
oct37232266356320
97548140681202
102151021141200
1175a2743a2488
122a8a707651a8
13127ac0543699
1476177ad2b28
153ae465675d5
hex1f4d2d9dcd0

2151021141200 has 240 divisors, whose sum is σ = 5432787934080. Its totient is φ = 817362524160.

The previous prime is 2151021141151. The next prime is 2151021141233. The reversal of 2151021141200 is 21411201512.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 47 ways as a sum of consecutive naturals, for example, 187577867 + ... + 187589333.

It is an arithmetic number, because the mean of its divisors is an integer number (22636616392).

Almost surely, 22151021141200 is an apocalyptic number.

2151021141200 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 2151021141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2716393967040).

2151021141200 is an abundant number, since it is smaller than the sum of its proper divisors (3281766792880).

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

2151021141200 is a wasteful number, since it uses less digits than its factorization.

2151021141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11774 (or 11763 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 20.

Adding to 2151021141200 its reverse (21411201512), we get a palindrome (2172432342712).

The spelling of 2151021141200 in words is "two trillion, one hundred fifty-one billion, twenty-one million, one hundred forty-one thousand, two hundred".