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30000320020 = 22511232376967
BaseRepresentation
bin11011111100001010…
…001000111000010100
32212102202220011100201
4123330022020320110
5442420040220040
621440522550244
72111302340566
oct337412107024
985382804321
1030000320020
11117a5442510
125993068384
132aa1477968
1416484cd336
15ba8b8da9a
hex6fc288e14

30000320020 has 144 divisors (see below), whose sum is σ = 73798478208. Its totient is φ = 10151412480.

The previous prime is 30000320017. The next prime is 30000320027. The reversal of 30000320020 is 2002300003.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 30000319979 and 30000320006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30000320027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4302577 + ... + 4309543.

It is an arithmetic number, because the mean of its divisors is an integer number (512489432).

Almost surely, 230000320020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30000320020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36899239104).

30000320020 is an abundant number, since it is smaller than the sum of its proper divisors (43798158188).

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

30000320020 is a wasteful number, since it uses less digits than its factorization.

30000320020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7070 (or 7045 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

Adding to 30000320020 its reverse (2002300003), we get a palindrome (32002620023).

It can be divided in two parts, 300003 and 20020, that added together give a palindrome (320023).

The spelling of 30000320020 in words is "thirty billion, three hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 23 37 44 46 55 74 92 110 115 148 185 220 230 253 370 407 460 506 529 740 814 851 1012 1058 1265 1628 1702 2035 2116 2530 2645 3404 4070 4255 5060 5290 5819 6967 8140 8510 9361 10580 11638 13934 17020 18722 19573 23276 27868 29095 34835 37444 39146 46805 58190 69670 76637 78292 93610 97865 116380 139340 153274 160241 187220 195730 215303 257779 306548 320482 383185 391460 430606 515558 640964 766370 801205 861212 1031116 1076515 1288895 1532740 1602410 1762651 2153030 2577790 2835569 3204820 3525302 3685543 4306060 5155580 5671138 5928917 7050604 7371086 8813255 11342276 11857834 14177845 14742172 17626510 18427715 23715668 28355690 29644585 35253020 36855430 40540973 56711380 59289170 65218087 73710860 81081946 118578340 130436174 136365091 162163892 202704865 260872348 272730182 326090435 405409730 545460364 652180870 681825455 810819460 1304361740 1363650910 1500016001 2727301820 3000032002 6000064004 7500080005 15000160010 30000320020