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4530034220100 = 22352378925118269
BaseRepresentation
bin100000111101011101100…
…0101001001110001000100
3121001001210212120212200220
41001322323011021301010
51043210002230020400
613345022522504340
7645166320354414
oct101727305116104
917031725525626
104530034220100
1114971a4246174
12611b4b3650b0
1326b24643037c
1411937d358644
157cc837267a0
hex41ebb149c44

4530034220100 has 288 divisors, whose sum is σ = 13667368982400. Its totient is φ = 1157460480000.

The previous prime is 4530034220099. The next prime is 4530034220113. The reversal of 4530034220100 is 10224300354.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 247953766 + ... + 247972034.

It is an arithmetic number, because the mean of its divisors is an integer number (47456142300).

Almost surely, 24530034220100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4530034220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6833684491200).

4530034220100 is an abundant number, since it is smaller than the sum of its proper divisors (9137334762300).

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

4530034220100 is a wasteful number, since it uses less digits than its factorization.

4530034220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18663 (or 18656 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 4530034220100 its reverse (10224300354), we get a palindrome (4540258520454).

The spelling of 4530034220100 in words is "four trillion, five hundred thirty billion, thirty-four million, two hundred twenty thousand, one hundred".