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30141001020 = 223513172273077
BaseRepresentation
bin11100000100100010…
…110010110100111100
32212210120121111102010
4130010202302310330
5443212044013040
621502510131220
72114631165354
oct340442626474
985716544363
1030141001020
111186789a1a9
125a121b0b10
132ac4662c60
14165d06db64
15bb61cbe80
hex7048b2d3c

30141001020 has 96 divisors (see below), whose sum is σ = 96233030208. Its totient is φ = 6982889472.

The previous prime is 30141000997. The next prime is 30141001021. The reversal of 30141001020 is 2010014103.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 30141000987 and 30141001005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30141001021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1123279 + ... + 1149798.

It is an arithmetic number, because the mean of its divisors is an integer number (1002427398).

Almost surely, 230141001020 is an apocalyptic number.

30141001020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30141001020 is an abundant number, since it is smaller than the sum of its proper divisors (66092029188).

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

30141001020 is a wasteful number, since it uses less digits than its factorization.

30141001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2273119 (or 2273117 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 30141001020 its reverse (2010014103), we get a palindrome (32151015123).

The spelling of 30141001020 in words is "thirty billion, one hundred forty-one million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 17 20 26 30 34 39 51 52 60 65 68 78 85 102 130 156 170 195 204 221 255 260 340 390 442 510 663 780 884 1020 1105 1326 2210 2652 3315 4420 6630 13260 2273077 4546154 6819231 9092308 11365385 13638462 22730770 27276924 29550001 34096155 38642309 45461540 59100002 68192310 77284618 88650003 115926927 118200004 136384620 147750005 154569236 177300006 193211545 231853854 295500010 354600012 386423090 443250015 463707708 502350017 579634635 591000020 772846180 886500030 1004700034 1159269270 1507050051 1773000060 2009400068 2318538540 2511750085 3014100102 5023500170 6028200204 7535250255 10047000340 15070500510 30141001020