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30021332892320 = 25571141109354377
BaseRepresentation
bin1101101001101111000101…
…11000011111101010100000
310221022000022022021222021002
412310313202320133222200
512413332142210023240
6143503335425051132
76215653421106440
oct664674270375240
9127260268258232
1030021332892320
119624a80843880
12344a403786aa8
131399ccbcca463
1475b07c6b6120
15370dcca80d15
hex1b4de2e1faa0

30021332892320 has 384 divisors, whose sum is σ = 90667757763072. Its totient is φ = 9120551731200.

The previous prime is 30021332892319. The next prime is 30021332892329. The reversal of 30021332892320 is 2329823312003.

It is not an unprimeable number, because it can be changed into a prime (30021332892329) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 552068972 + ... + 552123348.

It is an arithmetic number, because the mean of its divisors is an integer number (236113952508).

Almost surely, 230021332892320 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 30021332892320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45333878881536).

30021332892320 is an abundant number, since it is smaller than the sum of its proper divisors (60646424870752).

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

30021332892320 is a wasteful number, since it uses less digits than its factorization.

30021332892320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55544 (or 55536 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 38.

The spelling of 30021332892320 in words is "thirty trillion, twenty-one billion, three hundred thirty-two million, eight hundred ninety-two thousand, three hundred twenty".