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30002022220320 = 2533541952117791
BaseRepresentation
bin1101101001001011000111…
…11000001000001000100000
310221020011110111212012021000
412310211203320020020200
512413023120142022240
6143450423322232000
76214401036105243
oct664454370101040
9127204414765230
1030002022220320
119617871435117
123446714655600
131398242396517
1475a169b8b25a
1537064c5ca430
hex1b4963e08220

30002022220320 has 384 divisors, whose sum is σ = 107585570856960. Its totient is φ = 7804145664000.

The previous prime is 30002022220309. The next prime is 30002022220321. The reversal of 30002022220320 is 2302222020003.

30002022220320 is a `hidden beast` number, since 300 + 0 + 2 + 0 + 2 + 22 + 20 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 30002022220293 and 30002022220302.

It is not an unprimeable number, because it can be changed into a prime (30002022220321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1686350625 + ... + 1686368415.

It is an arithmetic number, because the mean of its divisors is an integer number (280170757440).

Almost surely, 230002022220320 is an apocalyptic number.

30002022220320 is a gapful number since it is divisible by the number (30) 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 30002022220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53792785428480).

30002022220320 is an abundant number, since it is smaller than the sum of its proper divisors (77583548636640).

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

30002022220320 is a wasteful number, since it uses less digits than its factorization.

30002022220320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27377 (or 27363 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 30002022220320 its reverse (2302222020003), we get a palindrome (32304244240323).

The spelling of 30002022220320 in words is "thirty trillion, two billion, twenty-two million, two hundred twenty thousand, three hundred twenty".