Search a number
-
+
1144303300023 = 313167182396377
BaseRepresentation
bin10000101001101101110…
…010101010110110110111
311001101122110112121002120
4100221231302222312313
5122222013121100043
62233404035011023
7145446621364362
oct20515562526667
94041573477076
101144303300023
11401329421034
12165934a39a73
1383ba45640c0
143d5553bb0d9
151eb7516e983
hex10a6dcaadb7

1144303300023 has 32 divisors (see below), whose sum is σ = 1653864984576. Its totient is φ = 699578734848.

The previous prime is 1144303300013. The next prime is 1144303300043. The reversal of 1144303300023 is 3200033034411.

It is not a de Polignac number, because 1144303300023 - 217 = 1144303168951 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1144303299966 and 1144303300002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144303300013) 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 31 ways as a sum of consecutive naturals, for example, 11825011 + ... + 11921387.

It is an arithmetic number, because the mean of its divisors is an integer number (51683280768).

Almost surely, 21144303300023 is an apocalyptic number.

1144303300023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1144303300023 is a deficient number, since it is larger than the sum of its proper divisors (509561684553).

1144303300023 is a wasteful number, since it uses less digits than its factorization.

1144303300023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98383.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 1144303300023 its reverse (3200033034411), we get a palindrome (4344336334434).

The spelling of 1144303300023 in words is "one trillion, one hundred forty-four billion, three hundred three million, three hundred thousand, twenty-three".

Divisors: 1 3 13 39 167 501 1823 2171 5469 6513 23699 71097 96377 289131 304441 913323 1252901 3758703 3957733 11873199 16094959 48284877 175695271 209234467 527085813 627703401 2284038523 6852115569 29341110257 88023330771 381434433341 1144303300023