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3000102100 = 225253566057
BaseRepresentation
bin1011001011010001…
…1110110011010100
321202002012222101121
42302310132303110
522121011231400
61213410333324
7134226306232
oct26264366324
97662188347
103000102100
1112aa530126
126b888a244
1338a71bb58
14206631952
151285b421a
hexb2d1ecd4

3000102100 has 36 divisors (see below), whose sum is σ = 6633067644. Its totient is φ = 1177396480.

The previous prime is 3000102067. The next prime is 3000102107. The reversal of 3000102100 is 12010003.

It can be written as a sum of positive squares in 6 ways, for example, as 94245264 + 2905856836 = 9708^2 + 53906^2 .

It is a super-2 number, since 2×30001021002 = 18001225220848820000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3000102107) 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 11 ways as a sum of consecutive naturals, for example, 277729 + ... + 288328.

It is an arithmetic number, because the mean of its divisors is an integer number (184251879).

Almost surely, 23000102100 is an apocalyptic number.

It is an amenable number.

3000102100 is an abundant number, since it is smaller than the sum of its proper divisors (3632965544).

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

3000102100 is a wasteful number, since it uses less digits than its factorization.

3000102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566124 (or 566117 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 3000102100 is about 54773.1877838053. The cubic root of 3000102100 is about 1442.2659316419.

Adding to 3000102100 its reverse (12010003), we get a palindrome (3012112103).

The spelling of 3000102100 in words is "three billion, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 2650 5300 566057 1132114 2264228 2830285 5660570 11321140 14151425 28302850 30001021 56605700 60002042 120004084 150005105 300010210 600020420 750025525 1500051050 3000102100