Search a number
-
+
1003235412409 = 192571279160637
BaseRepresentation
bin11101001100101010111…
…11011000100110111001
310112220112012102101221021
432212111133120212321
5112414111231144114
62044514024342441
7132324052206166
oct16462537304671
93486465371837
101003235412409
1135751926614a
12142525614a21
13737b2685a59
14367b200d06d
151b16a80c024
hexe9957d89b9

1003235412409 has 16 divisors (see below), whose sum is σ = 1060981862400. Its totient is φ = 945989259264.

The previous prime is 1003235412407. The next prime is 1003235412463. The reversal of 1003235412409 is 9042145323001.

It is a cyclic number.

It is not a de Polignac number, because 1003235412409 - 21 = 1003235412407 is a prime.

It is a super-2 number, since 2×10032354124092 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1003235412407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6165039 + ... + 6325675.

It is an arithmetic number, because the mean of its divisors is an integer number (66311366400).

Almost surely, 21003235412409 is an apocalyptic number.

1003235412409 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

1003235412409 is a deficient number, since it is larger than the sum of its proper divisors (57746449991).

1003235412409 is a wasteful number, since it uses less digits than its factorization.

1003235412409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162192.

The product of its (nonzero) digits is 25920, while the sum is 34.

The spelling of 1003235412409 in words is "one trillion, three billion, two hundred thirty-five million, four hundred twelve thousand, four hundred nine".

Divisors: 1 19 257 1279 4883 24301 160637 328703 3052103 6245357 41283709 205454723 784390471 3903639737 52801863811 1003235412409