Search a number
-
+
2113111200000 = 283552338281
BaseRepresentation
bin11110101111111111001…
…111100001000100000000
321111000022100112011101210
4132233333033201010000
5234110122431400000
64254425550330120
7305444602561323
oct36577717410400
97430270464353
102113111200000
11745190202569
122a16507b9940
1312435b4ab108
14743bcd447ba
1539e782d2350
hex1ebff3e1100

2113111200000 has 432 divisors, whose sum is σ = 7335318759552. Its totient is φ = 538982400000.

The previous prime is 2113111199959. The next prime is 2113111200017. The reversal of 2113111200000 is 21113112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55180860 + ... + 55219140.

It is an arithmetic number, because the mean of its divisors is an integer number (16979904536).

Almost surely, 22113111200000 is an apocalyptic number.

2113111200000 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 2113111200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3667659379776).

2113111200000 is an abundant number, since it is smaller than the sum of its proper divisors (5222207559552).

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

2113111200000 is an frugal number, since it uses more digits than its factorization.

2113111200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38348 (or 38314 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 2113111200000 its reverse (21113112), we get a palindrome (2113132313112).

The spelling of 2113111200000 in words is "two trillion, one hundred thirteen billion, one hundred eleven million, two hundred thousand".