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3012140104200 = 2333521341141593
BaseRepresentation
bin101011110101010001100…
…010100111101000001000
3101122221212020000110122000
4223311101202213220020
5343322330331313300
610223431424031000
7430422432303633
oct53652142475010
911587766013560
103012140104200
11a61494620747
12407933762460
1318b074a0a306
14a5b07384c1a
155354543bc00
hex2bd518a7a08

3012140104200 has 192 divisors, whose sum is σ = 10376172340800. Its totient is φ = 803158156800.

The previous prime is 3012140104189. The next prime is 3012140104201. The reversal of 3012140104200 is 24010412103.

3012140104200 is a `hidden beast` number, since 30 + 1 + 214 + 0 + 1 + 0 + 420 + 0 = 666.

It is a super-3 number, since 3×30121401042003 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3012140104201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72398604 + ... + 72440196.

It is an arithmetic number, because the mean of its divisors is an integer number (54042564275).

Almost surely, 23012140104200 is an apocalyptic number.

3012140104200 is a gapful number since it is divisible by the number (30) 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 3012140104200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5188086170400).

3012140104200 is an abundant number, since it is smaller than the sum of its proper divisors (7364032236600).

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

3012140104200 is a wasteful number, since it uses less digits than its factorization.

3012140104200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55029 (or 55014 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 3012140104200 its reverse (24010412103), we get a palindrome (3036150516303).

The spelling of 3012140104200 in words is "three trillion, twelve billion, one hundred forty million, one hundred four thousand, two hundred".