Search a number
-
+
1000130000 = 2454103971
BaseRepresentation
bin111011100111001…
…100010111010000
32120200220212102212
4323213030113100
54022013130000
6243124131252
733532651622
oct7347142720
92520825385
101000130000
11473602521
1223ab36b28
1312c2843cc
1496b82c12
155cc09c35
hex3b9cc5d0

1000130000 has 100 divisors (see below), whose sum is σ = 2447441568. Its totient is φ = 395760000.

The previous prime is 1000129987. The next prime is 1000130011. The reversal of 1000130000 is 310001.

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

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

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, 1029515 + ... + 1030485.

Almost surely, 21000130000 is an apocalyptic number.

1000130000 is a gapful number since it is divisible by the number (10) 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 1000130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223720784).

1000130000 is an abundant number, since it is smaller than the sum of its proper divisors (1447311568).

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

1000130000 is an equidigital number, since it uses as much as digits as its factorization.

1000130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1081 counting only the distinct ones).

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

The square root of 1000130000 is about 31624.8320153641. The cubic root of 1000130000 is about 1000.0433314557.

Adding to 1000130000 its reverse (310001), we get a palindrome (1000440001).

The spelling of 1000130000 in words is "one billion, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 103 125 200 206 250 400 412 500 515 625 824 971 1000 1030 1250 1648 1942 2000 2060 2500 2575 3884 4120 4855 5000 5150 7768 8240 9710 10000 10300 12875 15536 19420 20600 24275 25750 38840 41200 48550 51500 64375 77680 97100 100013 103000 121375 128750 194200 200026 206000 242750 257500 388400 400052 485500 500065 515000 606875 800104 971000 1000130 1030000 1213750 1600208 1942000 2000260 2427500 2500325 4000520 4855000 5000650 8001040 9710000 10001300 12501625 20002600 25003250 40005200 50006500 62508125 100013000 125016250 200026000 250032500 500065000 1000130000