Search a number
-
+
101421443024 = 2411252387109
BaseRepresentation
bin101111001110100110…
…0000110011111010000
3100200210020100010111122
41132131030012133100
53130202342134044
6114331541301412
710220214020156
oct1363514063720
9320706303448
10101421443024
113a015840300
12177a5a04868
1397441583a5
144ca1b553d6
152988e17dee
hex179d3067d0

101421443024 has 30 divisors (see below), whose sum is σ = 215992054530. Its totient is φ = 46100655040.

The previous prime is 101421443023. The next prime is 101421443083. The reversal of 101421443024 is 420344124101.

It can be written as a sum of positive squares in only one way, i.e., 81720513424 + 19700929600 = 285868^2 + 140360^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101421442984 and 101421443002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101421443023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26191619 + ... + 26195490.

It is an arithmetic number, because the mean of its divisors is an integer number (7199735151).

Almost surely, 2101421443024 is an apocalyptic number.

It is an amenable number.

101421443024 is an abundant number, since it is smaller than the sum of its proper divisors (114570611506).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101421443024 is a wasteful number, since it uses less digits than its factorization.

101421443024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52387139 (or 52387122 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 101421443024 its reverse (420344124101), we get a palindrome (521765567125).

It can be divided in two parts, 101421 and 443024, that added together give a palindrome (544445).

The spelling of 101421443024 in words is "one hundred one billion, four hundred twenty-one million, four hundred forty-three thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 52387109 104774218 209548436 419096872 576258199 838193744 1152516398 2305032796 4610065592 6338840189 9220131184 12677680378 25355360756 50710721512 101421443024