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1000000100 = 225211909091
BaseRepresentation
bin111011100110101…
…100101001100100
32120200200021020202
4323212230221210
54022000000400
6243121250032
733531601121
oct7346545144
92520607222
101000000100
11473523970
1223aa93918
1312c23a248
1496b4b748
155cbd14d5
hex3b9aca64

1000000100 has 36 divisors (see below), whose sum is σ = 2367275568. Its totient is φ = 363636000.

The previous prime is 1000000097. The next prime is 1000000103. The reversal of 1000000100 is 10000001.

Adding to 1000000100 its reverse (10000001), we get a palindrome (1010000101).

Subtracting from 1000000100 its reverse (10000001), we obtain a palindrome (990000099).

1000000100 divided by its reverse (10000001) gives a square (100 = 102).

It is an interprime number because it is at equal distance from previous prime (1000000097) and next prime (1000000103).

It is a sliding number, since 1000000100 = 100 + 1000000000 and 1/100 + 1/1000000000 = 0.01000000100.

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 (1000000103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 453446 + ... + 455645.

Almost surely, 21000000100 is an apocalyptic number.

1000000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000000100 is an abundant number, since it is smaller than the sum of its proper divisors (1367275468).

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

1000000100 is a wasteful number, since it uses less digits than its factorization.

1000000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909116 (or 909109 counting only the distinct ones).

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

The square root of 1000000100 is about 31622.7781828226. The cubic root of 1000000100 is about 1000.0000333333. Note that the first 4 decimals are identical.

The spelling of 1000000100 in words is "one billion, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 909091 1818182 3636364 4545455 9090910 10000001 18181820 20000002 22727275 40000004 45454550 50000005 90909100 100000010 200000020 250000025 500000050 1000000100