Search a number
-
+
105344340550 = 25219199111131
BaseRepresentation
bin110001000011100000…
…0110001001001000110
3101001220121221222020121
41202013000301021012
53211221122344200
6120221114452154
710416350056201
oct1420700611106
9331817858217
10105344340550
1140749152279
12184bb73405a
139c1aac2527
145154b58938
152b1850ce1a
hex1887031246

105344340550 has 48 divisors (see below), whose sum is σ = 197182808064. Its totient is φ = 41871060000.

The previous prime is 105344340547. The next prime is 105344340559. The reversal of 105344340550 is 55043443501.

It is a super-2 number, since 2×1053443405502 (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 (105344340559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9458485 + ... + 9469615.

It is an arithmetic number, because the mean of its divisors is an integer number (4107975168).

Almost surely, 2105344340550 is an apocalyptic number.

105344340550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105344340550 is a deficient number, since it is larger than the sum of its proper divisors (91838467514).

105344340550 is a wasteful number, since it uses less digits than its factorization.

105344340550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12325 (or 12320 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 34.

The spelling of 105344340550 in words is "one hundred five billion, three hundred forty-four million, three hundred forty thousand, five hundred fifty".

Divisors: 1 2 5 10 25 50 191 382 955 991 1910 1982 4775 4955 9550 9910 11131 22262 24775 49550 55655 111310 189281 278275 378562 556550 946405 1892810 2126021 4252042 4732025 9464050 10630105 11030821 21260210 22061642 53150525 55154105 106301050 110308210 275770525 551541050 2106886811 4213773622 10534434055 21068868110 52672170275 105344340550