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3000132300000 = 25355111959811
BaseRepresentation
bin101011101010000101110…
…100011110110011100000
3101121210212101012210221010
4223222011310132303200
5343123232332100000
610214124115100520
7426516034534263
oct53520564366340
911553771183833
103000132300000
11a57392519720
124055422a1740
13189bb0072524
14a52c86d4cda
1553091178d50
hex2ba85d1ece0

3000132300000 has 1152 divisors, whose sum is σ = 11509363353600. Its totient is φ = 676512000000.

The previous prime is 3000132299971. The next prime is 3000132300007. The reversal of 3000132300000 is 32310003.

It is a happy number.

3000132300000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3000132300007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3699299595 + ... + 3699300405.

It is an arithmetic number, because the mean of its divisors is an integer number (9990766800).

Almost surely, 23000132300000 is an apocalyptic number.

3000132300000 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 3000132300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5754681676800).

3000132300000 is an abundant number, since it is smaller than the sum of its proper divisors (8509231053600).

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

3000132300000 is a wasteful number, since it uses less digits than its factorization.

3000132300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 3000132300000 its reverse (32310003), we get a palindrome (3000164610003).

It can be divided in two parts, 3000 and 132300000, that multiplied together give a square (396900000000 = 6300002).

The spelling of 3000132300000 in words is "three trillion, one hundred thirty-two million, three hundred thousand".