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130002211023300 = 22325271137435322247
BaseRepresentation
bin11101100011110001111111…
…100110111010100111000100
3122001022002102121102220112200
4131203301333212322213010
5114014424012010221200
61140254105151514500
736245230660121520
oct3543617746724704
9561262377386480
10130002211023300
113847169aa76810
12126b7371528a30
1357702046760b5
1424161d7aa8d80
1510069c8741800
hex763c7f9ba9c4

130002211023300 has 1728 divisors, whose sum is σ = 543995526057984. Its totient is φ = 25186600857600.

The previous prime is 130002211023253. The next prime is 130002211023301. The reversal of 130002211023300 is 3320112200031.

130002211023300 is a `hidden beast` number, since 1 + 300 + 0 + 2 + 21 + 10 + 2 + 330 + 0 = 666.

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 (130002211023301) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 5843572777 + ... + 5843595023.

It is an arithmetic number, because the mean of its divisors is an integer number (314812225728).

Almost surely, 2130002211023300 is an apocalyptic number.

130002211023300 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 130002211023300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271997763028992).

130002211023300 is an abundant number, since it is smaller than the sum of its proper divisors (413993315034684).

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

130002211023300 is a wasteful number, since it uses less digits than its factorization.

130002211023300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22418 (or 22408 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 130002211023300 its reverse (3320112200031), we get a palindrome (133322323223331).

The spelling of 130002211023300 in words is "one hundred thirty trillion, two billion, two hundred eleven million, twenty-three thousand, three hundred".