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30303232020 = 223251741241537
BaseRepresentation
bin11100001110001101…
…101010000000010100
32220012212212200111200
4130032031222000110
5444030111411040
621530543232500
72121641136135
oct341615520024
986185780450
1030303232020
1111940425806
125a585a8730
132b1c155029
14167681dc8c
15bc5575630
hex70e36a014

30303232020 has 144 divisors (see below), whose sum is σ = 99701089488. Its totient is φ = 7419985920.

The previous prime is 30303232007. The next prime is 30303232049. The reversal of 30303232020 is 2023230303.

30303232020 is a `hidden beast` number, since 303 + 0 + 323 + 20 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9321130116 + 20982101904 = 96546^2 + 144852^2 .

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 = 30303231984 and 30303232002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4692 + ... + 246228.

It is an arithmetic number, because the mean of its divisors is an integer number (692368677).

Almost surely, 230303232020 is an apocalyptic number.

30303232020 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 30303232020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49850544744).

30303232020 is an abundant number, since it is smaller than the sum of its proper divisors (69397857468).

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

30303232020 is a wasteful number, since it uses less digits than its factorization.

30303232020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241610 (or 241605 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

Adding to 30303232020 its reverse (2023230303), we get a palindrome (32326462323).

The spelling of 30303232020 in words is "thirty billion, three hundred three million, two hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 41 45 51 60 68 82 85 90 102 123 153 164 170 180 204 205 246 255 306 340 369 410 492 510 612 615 697 738 765 820 1020 1230 1394 1476 1530 1845 2091 2460 2788 3060 3485 3690 4182 6273 6970 7380 8364 10455 12546 13940 20910 25092 31365 41820 62730 125460 241537 483074 724611 966148 1207685 1449222 2173833 2415370 2898444 3623055 4106129 4347666 4830740 7246110 8212258 8695332 9903017 10869165 12318387 14492220 16424516 19806034 20530645 21738330 24636774 29709051 36955161 39612068 41061290 43476660 49273548 49515085 59418102 61591935 73910322 82122580 89127153 99030170 118836204 123183870 147820644 148545255 168351289 178254306 184775805 198060340 246367740 297090510 336702578 356508612 369551610 445635765 505053867 594181020 673405156 739103220 841756445 891271530 1010107734 1515161601 1683512890 1782543060 2020215468 2525269335 3030323202 3367025780 5050538670 6060646404 7575808005 10101077340 15151616010 30303232020