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30201324420 = 22352997178939
BaseRepresentation
bin11100001000001000…
…111010001110000100
32212221210010020120010
4130020020322032010
5443323014340140
621512503110220
72116263010341
oct341010721604
985853106503
1030201324420
1111898951053
125a2a442370
132b03cc4187
1416670937c8
15bbb645880
hex70823a384

30201324420 has 96 divisors (see below), whose sum is σ = 88382044800. Its totient is φ = 7695765504.

The previous prime is 30201324359. The next prime is 30201324427. The reversal of 30201324420 is 2442310203.

It is not an unprimeable number, because it can be changed into a prime (30201324427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79311 + ... + 258249.

It is an arithmetic number, because the mean of its divisors is an integer number (920646300).

Almost surely, 230201324420 is an apocalyptic number.

30201324420 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 30201324420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44191022400).

30201324420 is an abundant number, since it is smaller than the sum of its proper divisors (58180720380).

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

30201324420 is a wasteful number, since it uses less digits than its factorization.

30201324420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179077 (or 179075 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 30201324420 its reverse (2442310203), we get a palindrome (32643634623).

The spelling of 30201324420 in words is "thirty billion, two hundred one million, three hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 97 116 145 174 194 290 291 348 388 435 485 580 582 870 970 1164 1455 1740 1940 2813 2910 5626 5820 8439 11252 14065 16878 28130 33756 42195 56260 84390 168780 178939 357878 536817 715756 894695 1073634 1789390 2147268 2684085 3578780 5189231 5368170 10378462 10736340 15567693 17357083 20756924 25946155 31135386 34714166 51892310 52071249 62270772 69428332 77838465 86785415 103784620 104142498 155676930 173570830 208284996 260356245 311353860 347141660 503355407 520712490 1006710814 1041424980 1510066221 2013421628 2516777035 3020132442 5033554070 6040264884 7550331105 10067108140 15100662210 30201324420