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130222332000 = 25325331711411
BaseRepresentation
bin111100101000111011…
…0110001100001100000
3110110010102021212210100
41321101312301201200
54113143404111000
6135453500302400
712260013362415
oct1712166614140
9413112255710
10130222332000
1150255125492
12212a3241a00
13c383c7a827
146434c2210c
1535c262ea00
hex1e51db1860

130222332000 has 288 divisors, whose sum is σ = 463657600224. Its totient is φ = 34613376000.

The previous prime is 130222331969. The next prime is 130222332001. The reversal of 130222332000 is 233222031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130222332001) 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 47 ways as a sum of consecutive naturals, for example, 11406295 + ... + 11417705.

It is an arithmetic number, because the mean of its divisors is an integer number (1609922223).

Almost surely, 2130222332000 is an apocalyptic number.

130222332000 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 130222332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231828800112).

130222332000 is an abundant number, since it is smaller than the sum of its proper divisors (333435268224).

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

130222332000 is a wasteful number, since it uses less digits than its factorization.

130222332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11759 (or 11738 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 130222332000 its reverse (233222031), we get a palindrome (130455554031).

The spelling of 130222332000 in words is "one hundred thirty billion, two hundred twenty-two million, three hundred thirty-two thousand".