Search a number
-
+
101344414023 = 32177112977193
BaseRepresentation
bin101111001100010011…
…0010000100101000111
3100200120212101122120200
41132120212100211013
53130023132222043
6114320150301543
710215260206626
oct1363046204507
9320525348520
10101344414023
1139a86309276
12177840578b3
1397311c83b8
144c958236bd
15298229e7d3
hex1798990947

101344414023 has 48 divisors (see below), whose sum is σ = 157323456576. Its totient is φ = 62635991040.

The previous prime is 101344414021. The next prime is 101344414027. The reversal of 101344414023 is 320414443101.

It is not a de Polignac number, because 101344414023 - 21 = 101344414021 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101344414021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14085715 + ... + 14092907.

It is an arithmetic number, because the mean of its divisors is an integer number (3277572012).

Almost surely, 2101344414023 is an apocalyptic number.

101344414023 is a deficient number, since it is larger than the sum of its proper divisors (55979042553).

101344414023 is a wasteful number, since it uses less digits than its factorization.

101344414023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8584 (or 8581 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 101344414023 its reverse (320414443101), we get a palindrome (421758857124).

The spelling of 101344414023 in words is "one hundred one billion, three hundred forty-four million, four hundred fourteen thousand, twenty-three".

Divisors: 1 3 9 17 51 71 153 213 639 1207 1297 3621 3891 7193 10863 11673 21579 22049 64737 66147 92087 122281 198441 276261 366843 510703 828783 1100529 1532109 1565479 4596327 4696437 8681951 9329321 14089311 26045853 27987963 78137559 83963889 158598457 475795371 662381791 1427386113 1987145373 5961436119 11260490447 33781471341 101344414023