Search a number
-
+
2104310000 = 24541316187
BaseRepresentation
bin111110101101101…
…0011100011110000
312102122122000122102
41331123103203300
513302200410000
6544450355532
7103101224402
oct17533234360
95378560572
102104310000
1198a912281
124a888bba8
13276c69860
1415d68cb72
15c4b193d5
hex7d6d38f0

2104310000 has 100 divisors (see below), whose sum is σ = 5486987352. Its totient is φ = 776928000.

The previous prime is 2104309993. The next prime is 2104310011. The reversal of 2104310000 is 134012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×21043100002 = 8856241152200000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 121907 + ... + 138093.

Almost surely, 22104310000 is an apocalyptic number.

2104310000 is a gapful number since it is divisible by the number (20) 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 2104310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2743493676).

2104310000 is an abundant number, since it is smaller than the sum of its proper divisors (3382677352).

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

2104310000 is a wasteful number, since it uses less digits than its factorization.

2104310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16228 (or 16207 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2104310000 is about 45872.7588008395. The cubic root of 2104310000 is about 1281.4546450829.

Adding to 2104310000 its reverse (134012), we get a palindrome (2104444012).

The spelling of 2104310000 in words is "two billion, one hundred four million, three hundred ten thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 625 650 1000 1040 1250 1300 1625 2000 2500 2600 3250 5000 5200 6500 8125 10000 13000 16187 16250 26000 32374 32500 64748 65000 80935 129496 130000 161870 210431 258992 323740 404675 420862 647480 809350 841724 1052155 1294960 1618700 1683448 2023375 2104310 3237400 3366896 4046750 4208620 5260775 6474800 8093500 8417240 10116875 10521550 16187000 16834480 20233750 21043100 26303875 32374000 40467500 42086200 52607750 80935000 84172400 105215500 131519375 161870000 210431000 263038750 420862000 526077500 1052155000 2104310000