Search a number
-
+
2113312200000 = 2635541271317
BaseRepresentation
bin11110110000001011001…
…110010001010101000000
321111000211100202000120020
4132300023032101111000
5234111030410400000
64254501530413440
7305452563212211
oct36601316212500
97430740660506
102113312200000
11745283708871
122a16a7b91280
13124391025621
14743db907408
1539e8ac87ba0
hex1ec0b391540

2113312200000 has 672 divisors, whose sum is σ = 7208439630336. Its totient is φ = 546048000000.

The previous prime is 2113312199969. The next prime is 2113312200053. The reversal of 2113312200000 is 22133112.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 6666599842 + ... + 6666600158.

It is an arithmetic number, because the mean of its divisors is an integer number (10726844688).

Almost surely, 22113312200000 is an apocalyptic number.

2113312200000 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 2113312200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3604219815168).

2113312200000 is an abundant number, since it is smaller than the sum of its proper divisors (5095127430336).

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

2113312200000 is an equidigital number, since it uses as much as digits as its factorization.

2113312200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 2113312200000 its reverse (22133112), we get a palindrome (2113334333112).

The spelling of 2113312200000 in words is "two trillion, one hundred thirteen billion, three hundred twelve million, two hundred thousand".