Search a number
-
+
30203322030 = 23257349137369
BaseRepresentation
bin11100001000010000…
…100001111010101110
32212221220212201202200
4130020100201322232
5443324022301110
621513014002330
72116316000310
oct341020417256
985856781680
1030203322030
1111899a95972
125a2b0463a6
132b045434ab
1416674537b0
15bbb8dc6c0
hex708421eae

30203322030 has 96 divisors (see below), whose sum is σ = 90004824000. Its totient is φ = 6883785216.

The previous prime is 30203322029. The next prime is 30203322059. The reversal of 30203322030 is 3022330203.

30203322030 is a `hidden beast` number, since 302 + 0 + 332 + 2 + 0 + 30 = 666.

30203322030 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 30203321994 and 30203322012.

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, 151186 + ... + 288554.

It is an arithmetic number, because the mean of its divisors is an integer number (937550250).

Almost surely, 230203322030 is an apocalyptic number.

30203322030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30203322030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45002412000).

30203322030 is an abundant number, since it is smaller than the sum of its proper divisors (59801501970).

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

30203322030 is a wasteful number, since it uses less digits than its factorization.

30203322030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137738 (or 137735 counting only the distinct ones).

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

Adding to 30203322030 its reverse (3022330203), we get a palindrome (33225652233).

The spelling of 30203322030 in words is "thirty billion, two hundred three million, three hundred twenty-two thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 349 630 698 1047 1745 2094 2443 3141 3490 4886 5235 6282 7329 10470 12215 14658 15705 21987 24430 31410 36645 43974 73290 109935 137369 219870 274738 412107 686845 824214 961583 1236321 1373690 1923166 2060535 2472642 2884749 4121070 4807915 5769498 6181605 8654247 9615830 12363210 14423745 17308494 28847490 43271235 47941781 86542470 95883562 143825343 239708905 287650686 335592467 431476029 479417810 671184934 719126715 862952058 1006777401 1438253430 1677962335 2013554802 2157380145 3020332203 3355924670 4314760290 5033887005 6040664406 10067774010 15101661015 30203322030