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1000100000 = 255573137
BaseRepresentation
bin111011100111000…
…101000010100000
32120200212100021202
4323213011002200
54022011200000
6243123340332
733532465304
oct7347050240
92520770252
101000100000
11473591a29
1223ab216a8
1312c273863
1496b75d04
155cc00dd5
hex3b9c50a0

1000100000 has 144 divisors (see below), whose sum is σ = 2512948536. Its totient is φ = 391680000.

The previous prime is 1000099999. The next prime is 1000100009. The reversal of 1000100000 is 10001.

1000100000 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 12 ways, for example, as 385258384 + 614841616 = 19628^2 + 24796^2 .

It is a sliding number, since 1000100000 = 100000 + 1000000000 and 1/100000 + 1/1000000000 = 0.00001000100000.

It is a Harshad number since it is a multiple of its sum of digits (2).

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

It is not an unprimeable number, because it can be changed into a prime (1000100009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7299932 + ... + 7300068.

Almost surely, 21000100000 is an apocalyptic number.

1000100000 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 1000100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256474268).

1000100000 is an abundant number, since it is smaller than the sum of its proper divisors (1512848536).

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

1000100000 is an frugal number, since it uses more digits than its factorization.

1000100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 2.

The square root of 1000100000 is about 31624.3577009874. The cubic root of 1000100000 is about 1000.0333322223.

Adding to 1000100000 its reverse (10001), we get a palindrome (1000110001).

1000100000 divided by its reverse (10001) gives a 5-th power (100000 = 105).

The spelling of 1000100000 in words is "one billion, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 73 80 100 125 137 146 160 200 250 274 292 365 400 500 548 584 625 685 730 800 1000 1096 1168 1250 1370 1460 1825 2000 2192 2336 2500 2740 2920 3125 3425 3650 4000 4384 5000 5480 5840 6250 6850 7300 9125 10000 10001 10960 11680 12500 13700 14600 17125 18250 20000 20002 21920 25000 27400 29200 34250 36500 40004 45625 50000 50005 54800 58400 68500 73000 80008 85625 91250 100000 100010 109600 137000 146000 160016 171250 182500 200020 228125 250025 274000 292000 320032 342500 365000 400040 428125 456250 500050 548000 685000 730000 800080 856250 912500 1000100 1250125 1370000 1460000 1600160 1712500 1825000 2000200 2500250 2740000 3425000 3650000 4000400 5000500 6250625 6850000 7300000 8000800 10001000 12501250 13700000 20002000 25002500 31253125 40004000 50005000 62506250 100010000 125012500 200020000 250025000 500050000 1000100000