Search a number
-
+
1000100992 = 2711710299
BaseRepresentation
bin111011100111000…
…101010010000000
32120200212101122111
4323213011102000
54022011212432
6243123345104
733532501222
oct7347052200
92520771574
101000100992
11473592750
1223ab22194
1312c274147
1496b76412
155cc01347
hex3b9c5480

1000100992 has 32 divisors (see below), whose sum is σ = 2173518000. Its totient is φ = 454590720.

The previous prime is 1000100977. The next prime is 1000100993. The reversal of 1000100992 is 2990010001.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (1000100993) 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 3 ways as a sum of consecutive naturals, for example, 353742 + ... + 356557.

Almost surely, 21000100992 is an apocalyptic number.

It is an amenable number.

1000100992 is an abundant number, since it is smaller than the sum of its proper divisors (1173417008).

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

1000100992 is an equidigital number, since it uses as much as digits as its factorization.

1000100992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710324 (or 710312 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 22.

The square root of 1000100992 is about 31624.3733850965. The cubic root of 1000100992 is about 1000.0336628668.

Adding to 1000100992 its reverse (2990010001), we get a palindrome (3990110993).

The spelling of 1000100992 in words is "one billion, one hundred thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 710299 1420598 2841196 5682392 7813289 11364784 15626578 22729568 31253156 45459136 62506312 90918272 125012624 250025248 500050496 1000100992