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20010030030 = 23251715598389
BaseRepresentation
bin10010101000101100…
…001101001111001110
31220122112101211212100
4102220230031033032
5311440031430110
613105324215530
71305603306654
oct225054151716
956575354770
1020010030030
11853915a801
123a6539a5a6
131b6b7aa073
14d7b776dd4
157c1a9cbc0
hex4a8b0d3ce

20010030030 has 96 divisors (see below), whose sum is σ = 55128340800. Its totient is φ = 5018305536.

The previous prime is 20010030011. The next prime is 20010030037. The reversal of 20010030030 is 3003001002.

It is a happy number.

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

20010030030 is a modest number, since divided by 30030 gives 20010 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 20010029994 and 20010030021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20010030037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2381076 + ... + 2389464.

It is an arithmetic number, because the mean of its divisors is an integer number (574253550).

Almost surely, 220010030030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20010030030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27564170400).

20010030030 is an abundant number, since it is smaller than the sum of its proper divisors (35118310770).

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

20010030030 is a wasteful number, since it uses less digits than its factorization.

20010030030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9978 (or 9975 counting only the distinct ones).

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

Adding to 20010030030 its reverse (3003001002), we get a palindrome (23013031032).

The spelling of 20010030030 in words is "twenty billion, ten million, thirty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 1559 3118 4677 7795 8389 9354 14031 15590 16778 23385 25167 26503 28062 41945 46770 50334 53006 70155 75501 79509 83890 125835 132515 140310 142613 151002 159018 238527 251670 265030 285226 377505 397545 427839 477054 713065 755010 795090 855678 1192635 1283517 1426130 2139195 2385270 2567034 4278390 6417585 12835170 13078451 26156902 39235353 65392255 78470706 117706059 130784510 196176765 222333667 235412118 392353530 444667334 588530295 667001001 1111668335 1177060590 1334002002 2001003003 2223336670 3335005005 4002006006 6670010010 10005015015 20010030030