Search a number
-
+
105444131420 = 22521124986761
BaseRepresentation
bin110001000110011110…
…1011100001001011100
3101002011120201212120202
41202030331130021130
53211422144201140
6120235041403032
710422001220525
oct1421475341134
9332146655522
10105444131420
114079a510671
1218529039478
139c35691a94
1451640d384c
152b22170915
hex188cf5c25c

105444131420 has 24 divisors (see below), whose sum is σ = 222482128848. Its totient is φ = 41977756800.

The previous prime is 105444131411. The next prime is 105444131423. The reversal of 105444131420 is 24131444501.

105444131420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1054441314202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105444131423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12489161 + ... + 12497600.

It is an arithmetic number, because the mean of its divisors is an integer number (9270088702).

Almost surely, 2105444131420 is an apocalyptic number.

105444131420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105444131420 is an abundant number, since it is smaller than the sum of its proper divisors (117037997428).

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

105444131420 is a wasteful number, since it uses less digits than its factorization.

105444131420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24986981 (or 24986979 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 105444131420 its reverse (24131444501), we get a palindrome (129575575921).

The spelling of 105444131420 in words is "one hundred five billion, four hundred forty-four million, one hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 211 422 844 1055 2110 4220 24986761 49973522 99947044 124933805 249867610 499735220 5272206571 10544413142 21088826284 26361032855 52722065710 105444131420