Search a number
-
+
1002025871 = 711117111113
BaseRepresentation
bin111011101110011…
…011001110001111
32120211111012002022
4323232123032033
54023004311441
6243232520355
733555036140
oct7356331617
92524435068
101002025871
11474687960
1223b6b00bb
1312c799322
1497117ac7
155ce8184b
hex3bb9b38f

1002025871 has 16 divisors (see below), whose sum is σ = 1250458368. Its totient is φ = 780062400.

The previous prime is 1002025847. The next prime is 1002025873. The reversal of 1002025871 is 1785202001.

It is a cyclic number.

It is not a de Polignac number, because 1002025871 - 218 = 1001763727 is a prime.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1002025871.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002025873) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84611 + ... + 95723.

It is an arithmetic number, because the mean of its divisors is an integer number (78153648).

Almost surely, 21002025871 is an apocalyptic number.

1002025871 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1002025871 is a deficient number, since it is larger than the sum of its proper divisors (248432497).

1002025871 is a wasteful number, since it uses less digits than its factorization.

1002025871 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12302.

The product of its (nonzero) digits is 1120, while the sum is 26.

The square root of 1002025871 is about 31654.7922280340. The cubic root of 1002025871 is about 1000.6748348288.

Adding to 1002025871 its reverse (1785202001), we get a palindrome (2787227872).

The spelling of 1002025871 in words is "one billion, two million, twenty-five thousand, eight hundred seventy-one".

Divisors: 1 7 11 77 1171 8197 11113 12881 77791 90167 122243 855701 13013323 91093261 143146553 1002025871