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31200200130 = 23511172292389
BaseRepresentation
bin11101000011101011…
…010100010111000010
32222112101200101102210
4131003223110113002
51002344222401010
622155544322550
72153112216411
oct350353242702
988471611383
1031200200130
1112260777170
126068a73456
132c32c296a8
14171d9cb478
15c291a3b20
hex743ad45c2

31200200130 has 288 divisors, whose sum is σ = 90102093120. Its totient is φ = 6855618560.

The previous prime is 31200200081. The next prime is 31200200137. The reversal of 31200200130 is 3100200213.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31200200137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 80205976 + ... + 80206364.

It is an arithmetic number, because the mean of its divisors is an integer number (312854490).

Almost surely, 231200200130 is an apocalyptic number.

31200200130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31200200130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45051046560).

31200200130 is an abundant number, since it is smaller than the sum of its proper divisors (58901892990).

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

31200200130 is a wasteful number, since it uses less digits than its factorization.

31200200130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 31200200130 its reverse (3100200213), we get a palindrome (34300400343).

The spelling of 31200200130 in words is "thirty-one billion, two hundred million, two hundred thousand, one hundred thirty".