Search a number
-
+
30322311300 = 223252223715061
BaseRepresentation
bin11100001111010110…
…011100000010000100
32220021012210000100200
4130033112130002010
5444100002430200
621532504210500
72122262251641
oct341726340204
986235700320
1030322311300
1111950177306
125a62a69a30
132b230a5348
141679188dc8
15bc7093800
hex70f59c084

30322311300 has 108 divisors (see below), whose sum is σ = 95092400676. Its totient is φ = 8081798400.

The previous prime is 30322311277. The next prime is 30322311301. The reversal of 30322311300 is 311322303.

30322311300 is a `hidden beast` number, since 3 + 0 + 322 + 311 + 30 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 787139136 + 29535172164 = 28056^2 + 171858^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (30322311301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2005770 + ... + 2020830.

Almost surely, 230322311300 is an apocalyptic number.

30322311300 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 30322311300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47546200338).

30322311300 is an abundant number, since it is smaller than the sum of its proper divisors (64770089376).

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

30322311300 is a wasteful number, since it uses less digits than its factorization.

30322311300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17318 (or 17308 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 30322311300 its reverse (311322303), we get a palindrome (30633633603).

The spelling of 30322311300 in words is "thirty billion, three hundred twenty-two million, three hundred eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 2237 4474 6711 8948 11185 13422 15061 20133 22370 26844 30122 33555 40266 44740 45183 55925 60244 67110 75305 80532 90366 100665 111850 134220 135549 150610 167775 180732 201330 223700 225915 271098 301220 335550 376525 402660 451830 503325 542196 671100 677745 753050 903660 1006650 1129575 1355490 1506100 2013300 2259150 2710980 3388725 4518300 6777450 13554900 33691457 67382914 101074371 134765828 168457285 202148742 303223113 336914570 404297484 505371855 606446226 673829140 842286425 1010743710 1212892452 1516115565 1684572850 2021487420 2526859275 3032231130 3369145700 5053718550 6064462260 7580577825 10107437100 15161155650 30322311300