Search a number
-
+
30003010020 = 22325719323173
BaseRepresentation
bin11011111100010100…
…011001100111100100
32212102221221211100100
4123330110121213210
5442421232310040
621441100344100
72111334243264
oct337424314744
985387854310
1030003010020
11117a6a0a555
125993b45030
132aa1baa189
1416489cd7a4
15ba9020b30
hex6fc5199e4

30003010020 has 72 divisors (see below), whose sum is σ = 91025710776. Its totient is φ = 7999345152.

The previous prime is 30003009983. The next prime is 30003010021. The reversal of 30003010020 is 2001030003.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2406491136 + 27596518884 = 49056^2 + 166122^2 .

It is a super-2 number, since 2×300030100202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 30003009984 and 30003010011.

It is not an unprimeable number, because it can be changed into a prime (30003010021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1283154 + ... + 1306326.

It is an arithmetic number, because the mean of its divisors is an integer number (1264245983).

Almost surely, 230003010020 is an apocalyptic number.

30003010020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30003010020 is an abundant number, since it is smaller than the sum of its proper divisors (61022700756).

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

30003010020 is a wasteful number, since it uses less digits than its factorization.

30003010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30381 (or 30376 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

Adding to 30003010020 its reverse (2001030003), we get a palindrome (32004040023).

The spelling of 30003010020 in words is "thirty billion, three million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 7193 14386 21579 23173 28772 35965 43158 46346 64737 69519 71930 86316 92692 107895 115865 129474 139038 143860 208557 215790 231730 258948 278076 323685 347595 417114 431580 463460 647370 695190 834228 1042785 1294740 1390380 2085570 4171140 166683389 333366778 500050167 666733556 833416945 1000100334 1500150501 1666833890 2000200668 2500250835 3000301002 3333667780 5000501670 6000602004 7500752505 10001003340 15001505010 30003010020