Search a number
-
+
1005140423023 = 11293785159741
BaseRepresentation
bin11101010000001110000…
…10011011000101101111
310120002102222000222012221
432220013002123011233
5112432011422014043
62045431035340211
7132422213425042
oct16500702330557
93502388028187
101005140423023
11358306623890
121429775b1667
1373a27252179
143691301cc59
151b22cba98ed
hexea0709b16f

1005140423023 has 16 divisors (see below), whose sum is σ = 1164985270560. Its totient is φ = 858410179200.

The previous prime is 1005140422997. The next prime is 1005140423041. The reversal of 1005140423023 is 3203240415001.

1005140423023 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 1005140423023 - 29 = 1005140422511 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005140423093) 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, 42568068 + ... + 42591673.

It is an arithmetic number, because the mean of its divisors is an integer number (72811579410).

Almost surely, 21005140423023 is an apocalyptic number.

1005140423023 is a deficient number, since it is larger than the sum of its proper divisors (159844847537).

1005140423023 is a wasteful number, since it uses less digits than its factorization.

1005140423023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85159818.

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 1005140423023 its reverse (3203240415001), we get a palindrome (4208380838024).

The spelling of 1005140423023 in words is "one trillion, five billion, one hundred forty million, four hundred twenty-three thousand, twenty-three".

Divisors: 1 11 29 37 319 407 1073 11803 85159741 936757151 2469632489 3150910417 27165957379 34660014587 91376402093 1005140423023