Search a number
-
+
1301100000 = 253554337
BaseRepresentation
bin100110110001101…
…0011010111100000
310100200020201122220
41031203103113200
510131040200000
6333035031040
744146111314
oct11543232740
93320221586
101301100000
11608489762
1230389b480
13179731875
14c4b29b44
157935b1a0
hex4d8d35e0

1301100000 has 144 divisors (see below), whose sum is σ = 4269945456. Its totient is φ = 346880000.

The previous prime is 1301099983. The next prime is 1301100011. The reversal of 1301100000 is 11031.

It is a super-2 number, since 2×13011000002 = 3385722420000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

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, 297832 + ... + 302168.

It is an arithmetic number, because the mean of its divisors is an integer number (29652399).

Almost surely, 21301100000 is an apocalyptic number.

1301100000 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 1301100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2134972728).

1301100000 is an abundant number, since it is smaller than the sum of its proper divisors (2968845456).

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

1301100000 is an frugal number, since it uses more digits than its factorization.

1301100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4375 (or 4347 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 6.

The square root of 1301100000 is about 36070.7637845389. The cubic root of 1301100000 is about 1091.7006250403.

Adding to 1301100000 its reverse (11031), we get a palindrome (1301111031).

The spelling of 1301100000 in words is "one billion, three hundred one million, one hundred thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3125 3750 4000 4337 5000 6000 6250 7500 8674 9375 10000 12000 12500 13011 15000 17348 18750 20000 21685 25000 26022 30000 34696 37500 43370 50000 52044 60000 65055 69392 75000 86740 100000 104088 108425 130110 138784 150000 173480 208176 216850 260220 300000 325275 346960 416352 433700 520440 542125 650550 693920 867400 1040880 1084250 1301100 1626375 1734800 2081760 2168500 2602200 2710625 3252750 3469600 4337000 5204400 5421250 6505500 8131875 8674000 10408800 10842500 13011000 13553125 16263750 17348000 21685000 26022000 27106250 32527500 40659375 43370000 52044000 54212500 65055000 81318750 86740000 108425000 130110000 162637500 216850000 260220000 325275000 433700000 650550000 1301100000