Search a number
-
+
30333310020 = 223251333139163
BaseRepresentation
bin11100010000000000…
…011001010001000100
32220021222110210202200
4130100000121101010
5444110311410040
621533540034500
72122454611116
oct342000312104
986258423680
1030333310020
11119563a9862
125a66692a30
132b25456670
14167a80d3b6
15bc8017630
hex710019444

30333310020 has 144 divisors (see below), whose sum is σ = 99390712512. Its totient is φ = 7443912960.

The previous prime is 30333309991. The next prime is 30333310027. The reversal of 30333310020 is 2001333303.

30333310020 is a `hidden beast` number, since 3 + 0 + 333 + 310 + 0 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 30333309975 and 30333310002.

It is not an unprimeable number, because it can be changed into a prime (30333310027) 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, 754959 + ... + 794121.

Almost surely, 230333310020 is an apocalyptic number.

30333310020 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 30333310020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49695356256).

30333310020 is an abundant number, since it is smaller than the sum of its proper divisors (69057402492).

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

30333310020 is a wasteful number, since it uses less digits than its factorization.

30333310020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39522 (or 39517 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 30333310020 its reverse (2001333303), we get a palindrome (32334643323).

The spelling of 30333310020 in words is "thirty billion, three hundred thirty-three million, three hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 331 390 468 585 662 780 993 1170 1324 1655 1986 2340 2979 3310 3972 4303 4965 5958 6620 8606 9930 11916 12909 14895 17212 19860 21515 25818 29790 38727 39163 43030 51636 59580 64545 77454 78326 86060 117489 129090 154908 156652 193635 195815 234978 258180 352467 387270 391630 469956 509119 587445 704934 774540 783260 1018238 1174890 1409868 1527357 1762335 2036476 2349780 2545595 3054714 3524670 4582071 5091190 6109428 7049340 7636785 9164142 10182380 12962953 15273570 18328284 22910355 25925906 30547140 38888859 45820710 51851812 64814765 77777718 91641420 116666577 129629530 155555436 168518389 194444295 233333154 259259060 337036778 388888590 466666308 505555167 583332885 674073556 777777180 842591945 1011110334 1166665770 1516665501 1685183890 2022220668 2333331540 2527775835 3033331002 3370367780 5055551670 6066662004 7583327505 10111103340 15166655010 30333310020