Search a number
-
+
105412320450 = 23252234249601
BaseRepresentation
bin110001000101100010…
…0000101110011000010
3101002002100212201010200
41202023010011303002
53211341023223300
6120231543510030
710421133640263
oct1421304056302
9332070781120
10105412320450
1140783563608
121851a458316
139c2bc04718
14515dbb296a
152b1e48a200
hex188b105cc2

105412320450 has 36 divisors (see below), whose sum is σ = 283207768818. Its totient is φ = 28109952000.

The previous prime is 105412320413. The next prime is 105412320467. The reversal of 105412320450 is 54023214501.

It can be written as a sum of positive squares in 3 ways, for example, as 98457260841 + 6955059609 = 313779^2 + 83397^2 .

It is a super-2 number, since 2×1054123204502 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 117124351 + ... + 117125250.

Almost surely, 2105412320450 is an apocalyptic number.

105412320450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105412320450 is an abundant number, since it is smaller than the sum of its proper divisors (177795448368).

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

105412320450 is a wasteful number, since it uses less digits than its factorization.

105412320450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234249619 (or 234249611 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 105412320450 its reverse (54023214501), we get a palindrome (159435534951).

The spelling of 105412320450 in words is "one hundred five billion, four hundred twelve million, three hundred twenty thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 234249601 468499202 702748803 1171248005 1405497606 2108246409 2342496010 3513744015 4216492818 5856240025 7027488030 10541232045 11712480050 17568720075 21082464090 35137440150 52706160225 105412320450