Search a number
-
+
12011010223300 = 225211210123342181
BaseRepresentation
bin1010111011001000011111…
…1111110110110011000100
31120112020111221202101202121
42232302013333312303010
53033242022104121200
641313440521215324
72346524013244624
oct256620777666304
946466457671677
1012011010223300
113910928165600
12141b993031544
1369183078660a
142d749bd90884
1515c67982de1a
hexaec87ff6cc4

12011010223300 has 216 divisors, whose sum is σ = 29057254107336. Its totient is φ = 4305734400000.

The previous prime is 12011010223273. The next prime is 12011010223319. The reversal of 12011010223300 is 332201011021.

It can be written as a sum of positive squares in 12 ways, for example, as 4904488593664 + 7106521629636 = 2214608^2 + 2665806^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 284728210 + ... + 284770390.

It is an arithmetic number, because the mean of its divisors is an integer number (134524324571).

Almost surely, 212011010223300 is an apocalyptic number.

12011010223300 is a gapful number since it is divisible by the number (10) 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 12011010223300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14528627053668).

12011010223300 is an abundant number, since it is smaller than the sum of its proper divisors (17046243884036).

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

12011010223300 is a wasteful number, since it uses less digits than its factorization.

12011010223300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42551 (or 42533 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12011010223300 its reverse (332201011021), we get a palindrome (12343211234321).

The spelling of 12011010223300 in words is "twelve trillion, eleven billion, ten million, two hundred twenty-three thousand, three hundred".