Search a number
-
+
1000100024 = 237111623539
BaseRepresentation
bin111011100111000…
…101000010111000
32120200212100022122
4323213011002320
54022011200044
6243123340412
733532465340
oct7347050270
92520770278
101000100024
11473591a50
1223ab21708
1312c273881
1496b75d20
155cc00dee
hex3b9c50b8

1000100024 has 32 divisors (see below), whose sum is σ = 2337897600. Its totient is φ = 389649120.

The previous prime is 1000100009. The next prime is 1000100033. The reversal of 1000100024 is 4200010001.

1000100024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 1000099984 and 1000100020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 811154 + ... + 812385.

It is an arithmetic number, because the mean of its divisors is an integer number (73059300).

Almost surely, 21000100024 is an apocalyptic number.

1000100024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1000100024 is an abundant number, since it is smaller than the sum of its proper divisors (1337797576).

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

1000100024 is a wasteful number, since it uses less digits than its factorization.

1000100024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623563 (or 1623559 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 1000100024 is about 31624.3580804417. The cubic root of 1000100024 is about 1000.0333402218.

Adding to 1000100024 its reverse (4200010001), we get a palindrome (5200110025).

The spelling of 1000100024 in words is "one billion, one hundred thousand, twenty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 1623539 3247078 6494156 11364773 12988312 17858929 22729546 35717858 45459092 71435716 90918184 125012503 142871432 250025006 500050012 1000100024