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30024304020 = 2234518533521
BaseRepresentation
bin11011111101100101…
…101000010110010100
32212111110000200020000
4123331211220112110
5442442210212040
621443141011300
72112013242024
oct337545502624
985443020200
1030024304020
1111807a33aa7
12599b0b3b30
132aa6424589
14164b773a84
15baad2a130
hex6fd968594

30024304020 has 60 divisors (see below), whose sum is σ = 94187358804. Its totient is φ = 8006480640.

The previous prime is 30024304007. The next prime is 30024304033. The reversal of 30024304020 is 2040342003.

It is an interprime number because it is at equal distance from previous prime (30024304007) and next prime (30024304033).

It can be written as a sum of positive squares in 2 ways, for example, as 7993432836 + 22030871184 = 89406^2 + 148428^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 = 30024303984 and 30024304002.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 9265141 + ... + 9268380.

Almost surely, 230024304020 is an apocalyptic number.

30024304020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30024304020 is an abundant number, since it is smaller than the sum of its proper divisors (64163054784).

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

30024304020 is a wasteful number, since it uses less digits than its factorization.

30024304020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18533542 (or 18533531 counting only the distinct ones).

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

Adding to 30024304020 its reverse (2040342003), we get a palindrome (32064646023).

The spelling of 30024304020 in words is "thirty billion, twenty-four million, three hundred four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 18533521 37067042 55600563 74134084 92667605 111201126 166801689 185335210 222402252 278002815 333603378 370670420 500405067 556005630 667206756 834008445 1000810134 1112011260 1501215201 1668016890 2001620268 2502025335 3002430402 3336033780 5004050670 6004860804 7506076005 10008101340 15012152010 30024304020