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30330002000 = 245321137177
BaseRepresentation
bin11100001111110011…
…110001101001010000
32220021202020202000102
4130033303301221100
5444103440031000
621533341111532
72122414522544
oct341763615120
986252222012
1030330002000
111195454a461
125a655585a8
132b24868a5c
14167a1cba24
15bc7ab23d5
hex70fcf1a50

30330002000 has 80 divisors (see below), whose sum is σ = 73382876112. Its totient is φ = 12124569600.

The previous prime is 30330001979. The next prime is 30330002033. The reversal of 30330002000 is 20003303.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 13198333456 + 17131668544 = 114884^2 + 130888^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4222412 + ... + 4229588.

Almost surely, 230330002000 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 30330002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36691438056).

30330002000 is an abundant number, since it is smaller than the sum of its proper divisors (43052874112).

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

30330002000 is a wasteful number, since it uses less digits than its factorization.

30330002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9313 (or 9297 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 11.

Adding to 30330002000 its reverse (20003303), we get a palindrome (30350005303).

The spelling of 30330002000 in words is "thirty billion, three hundred thirty million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 2113 4226 7177 8452 10565 14354 16904 21130 28708 33808 35885 42260 52825 57416 71770 84520 105650 114832 143540 169040 179425 211300 264125 287080 358850 422600 528250 574160 717700 845200 897125 1056500 1435400 1794250 2113000 2870800 3588500 4226000 7177000 14354000 15165001 30330002 60660004 75825005 121320008 151650010 242640016 303300020 379125025 606600040 758250050 1213200080 1516500100 1895625125 3033000200 3791250250 6066000400 7582500500 15165001000 30330002000