Search a number
-
+
11312001030000 = 2435411149230059
BaseRepresentation
bin1010010010011100011111…
…0011011001011101110000
31111001102020210122012022010
42210213013303121131300
52440313434230430000
640020354520242520
72245156634162436
oct244470763313560
944042223565263
1011312001030000
113671435750720
121328412310440
13640942688238
142b170a4c2d56
151493b773dd50
hexa49c7cd9770

11312001030000 has 400 divisors, whose sum is σ = 40103875152000. Its totient is φ = 2723886720000.

The previous prime is 11312001029983. The next prime is 11312001030017. The reversal of 11312001030000 is 3010021311.

It is an interprime number because it is at equal distance from previous prime (11312001029983) and next prime (11312001030017).

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×113120010300002 (a number of 27 digits) contains 22 as substring.

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

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 79 ways as a sum of consecutive naturals, for example, 49054971 + ... + 49285029.

It is an arithmetic number, because the mean of its divisors is an integer number (100259687880).

Almost surely, 211312001030000 is an apocalyptic number.

11312001030000 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 11312001030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20051937576000).

11312001030000 is an abundant number, since it is smaller than the sum of its proper divisors (28791874122000).

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

11312001030000 is a wasteful number, since it uses less digits than its factorization.

11312001030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230250 (or 230229 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 11312001030000 its reverse (3010021311), we get a palindrome (11315011051311).

The spelling of 11312001030000 in words is "eleven trillion, three hundred twelve billion, one million, thirty thousand".