Search a number
-
+
1024130000311 = 11523448139727
BaseRepresentation
bin11101110011100101110…
…01111010010110110111
310121220110101021110002021
432321302321322112313
5113234404240002221
62102251232054011
7133663616241115
oct16716271722667
93556411243067
101024130000311
11365370760310
12146597094307
13757624b0832
14377d5042ab5
151b98ed86041
hexee72e7a5b7

1024130000311 has 16 divisors (see below), whose sum is σ = 1119646914048. Its totient is φ = 929016345600.

The previous prime is 1024130000287. The next prime is 1024130000321. The reversal of 1024130000311 is 1130000314201.

It is a cyclic number.

It is not a de Polignac number, because 1024130000311 - 25 = 1024130000279 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 (1024130000321) 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, 25759330 + ... + 25799056.

It is an arithmetic number, because the mean of its divisors is an integer number (69977932128).

Almost surely, 21024130000311 is an apocalyptic number.

1024130000311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1024130000311 is a deficient number, since it is larger than the sum of its proper divisors (95516913737).

1024130000311 is a wasteful number, since it uses less digits than its factorization.

1024130000311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44742.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1024130000311 its reverse (1130000314201), we get a palindrome (2154130314512).

The spelling of 1024130000311 in words is "one trillion, twenty-four billion, one hundred thirty million, three hundred eleven", and thus it is an aban number.

Divisors: 1 11 523 4481 5753 39727 49291 436997 2343563 20777221 25779193 178016687 228549431 1958183557 93102727301 1024130000311