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30211332320 = 2551322959653
BaseRepresentation
bin11100001000101111…
…000101100011100000
32212222110221200211002
4130020233011203200
5443333100113240
621513501411132
72116444042031
oct341057054340
985873850732
1030211332320
11118a3567144
125a31869aa8
132b060b9500
14166853aa88
15bbc470d15
hex708bc58e0

30211332320 has 288 divisors, whose sum is σ = 81431632800. Its totient is φ = 10571538432.

The previous prime is 30211332271. The next prime is 30211332329. The reversal of 30211332320 is 2323311203.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 30211332292 and 30211332301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30211332329) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46265114 + ... + 46265766.

It is an arithmetic number, because the mean of its divisors is an integer number (282748725).

Almost surely, 230211332320 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 30211332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40715816400).

30211332320 is an abundant number, since it is smaller than the sum of its proper divisors (51220300480).

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

30211332320 is a wasteful number, since it uses less digits than its factorization.

30211332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 30211332320 its reverse (2323311203), we get a palindrome (32534643523).

It can be divided in two parts, 302113 and 32320, that added together give a palindrome (334433).

The spelling of 30211332320 in words is "thirty billion, two hundred eleven million, three hundred thirty-two thousand, three hundred twenty".