Search a number
-
+
30201231300 = 22352978391237
BaseRepresentation
bin11100001000001000…
…100011011111000100
32212221202221111211020
4130020020203133010
5443323003400200
621512501111140
72116262142012
oct341010433704
985852844736
1030201231300
1111898898099
125a2a3b84b0
132b03c90986
14166706b8b2
15bbb627ea0
hex7082237c4

30201231300 has 144 divisors (see below), whose sum is σ = 88459754880. Its totient is φ = 7954698240.

The previous prime is 30201231239. The next prime is 30201231311. The reversal of 30201231300 is 313210203.

It is a super-2 number, since 2×302012313002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 30201231300.

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, 24414282 + ... + 24415518.

Almost surely, 230201231300 is an apocalyptic number.

30201231300 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 30201231300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44229877440).

30201231300 is an abundant number, since it is smaller than the sum of its proper divisors (58258523580).

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

30201231300 is a wasteful number, since it uses less digits than its factorization.

30201231300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2190 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 30201231300 its reverse (313210203), we get a palindrome (30514441503).

The spelling of 30201231300 in words is "thirty billion, two hundred one million, two hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 97 100 150 194 291 300 388 485 582 839 970 1164 1237 1455 1678 1940 2425 2474 2517 2910 3356 3711 4195 4850 4948 5034 5820 6185 7275 7422 8390 9700 10068 12370 12585 14550 14844 16780 18555 20975 24740 25170 29100 30925 37110 41950 50340 61850 62925 74220 81383 83900 92775 119989 123700 125850 162766 185550 239978 244149 251700 325532 359967 371100 406915 479956 488298 599945 719934 813830 976596 1037843 1199890 1220745 1439868 1627660 1799835 2034575 2075686 2399780 2441490 2999725 3113529 3599670 4069150 4151372 4882980 5189215 5999450 6103725 6227058 7199340 8138300 8999175 10378430 11998900 12207450 12454116 15567645 17998350 20756860 24414900 25946075 31135290 35996700 51892150 62270580 77838225 100670771 103784300 155676450 201341542 302012313 311352900 402683084 503353855 604024626 1006707710 1208049252 1510061565 2013415420 2516769275 3020123130 5033538550 6040246260 7550307825 10067077100 15100615650 30201231300