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3000100100 = 2252149227887
BaseRepresentation
bin1011001011010001…
…1110010100000100
321202002012212122112
42302310132110010
522121011200400
61213410320152
7134226300344
oct26264362404
97662185575
103000100100
1112aa529678
126b8889058
1338a71ac7a
14206630d24
151285b3835
hexb2d1e504

3000100100 has 72 divisors (see below), whose sum is σ = 6590203200. Its totient is φ = 1185397120.

The previous prime is 3000100097. The next prime is 3000100111. The reversal of 3000100100 is 10010003.

It is a super-2 number, since 2×30001001002 = 18001201220040020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (5).

3000100100 is a modest number, since divided by 100100 gives 3000 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3381857 + ... + 3382743.

It is an arithmetic number, because the mean of its divisors is an integer number (91530600).

Almost surely, 23000100100 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 3000100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3295101600).

3000100100 is an abundant number, since it is smaller than the sum of its proper divisors (3590103100).

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

3000100100 is a wasteful number, since it uses less digits than its factorization.

3000100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 5.

The square root of 3000100100 is about 54773.1695266944. The cubic root of 3000100100 is about 1442.2656111492.

Adding to 3000100100 its reverse (10010003), we get a palindrome (3010110103).

The spelling of 3000100100 in words is "three billion, one hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 149 227 298 454 596 745 887 908 1135 1490 1774 2270 2980 3548 3725 4435 4540 5675 7450 8870 11350 14900 17740 22175 22700 33823 44350 67646 88700 132163 135292 169115 201349 264326 338230 402698 528652 660815 676460 805396 845575 1006745 1321630 1691150 2013490 2643260 3304075 3382300 4026980 5033725 6608150 10067450 13216300 20134900 30001001 60002002 120004004 150005005 300010010 600020020 750025025 1500050050 3000100100