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22530141312030 = 232511157208969389
BaseRepresentation
bin1010001111101101101010…
…00100011101010000011110
32221202212020021201100220100
411013312311010131100132
510423113212133441110
6115530112023201530
74513514622231522
oct507666504352036
987685207640810
1022530141312030
1171a6a85458150
12263a5aa8a62a6
13c75777407541
1457c671041d82
152910d9bd5bc0
hex147db511d41e

22530141312030 has 192 divisors, whose sum is σ = 64342415966400. Its totient is φ = 5424387471360.

The previous prime is 22530141311987. The next prime is 22530141312043. The reversal of 22530141312030 is 3021314103522.

22530141312030 is a `hidden beast` number, since 2 + 2 + 5 + 301 + 41 + 312 + 0 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 22530141311985 and 22530141312003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 324658576 + ... + 324727964.

It is an arithmetic number, because the mean of its divisors is an integer number (335116749825).

Almost surely, 222530141312030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22530141312030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32171207983200).

22530141312030 is an abundant number, since it is smaller than the sum of its proper divisors (41812274654370).

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

22530141312030 is a wasteful number, since it uses less digits than its factorization.

22530141312030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71659 (or 71656 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 22530141312030 its reverse (3021314103522), we get a palindrome (25551455415552).

The spelling of 22530141312030 in words is "twenty-two trillion, five hundred thirty billion, one hundred forty-one million, three hundred twelve thousand, thirty".