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105015000452 = 22173229662689
BaseRepresentation
bin110000111001101100…
…0011011110110000100
3101001001200020202120012
41201303120123312010
53210032320003302
6120124311525352
710405240530035
oct1416330336604
9331050222505
10105015000452
114059a25917a
1218429389858
139b977c0c2b
145123108a8c
152ae9655a52
hex187361bd84

105015000452 has 24 divisors (see below), whose sum is σ = 185645976600. Its totient is φ = 51975945216.

The previous prime is 105015000451. The next prime is 105015000527. The reversal of 105015000452 is 254000510501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 73910034496 + 31104965956 = 271864^2 + 176366^2 .

It is a super-2 number, since 2×1050150004522 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105015000451) 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, 172877 + ... + 489812.

It is an arithmetic number, because the mean of its divisors is an integer number (7735249025).

Almost surely, 2105015000452 is an apocalyptic number.

It is an amenable number.

105015000452 is a deficient number, since it is larger than the sum of its proper divisors (80630976148).

105015000452 is a wasteful number, since it uses less digits than its factorization.

105015000452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663095 (or 663093 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 23.

Adding to 105015000452 its reverse (254000510501), we get a palindrome (359015510953).

The spelling of 105015000452 in words is "one hundred five billion, fifteen million, four hundred fifty-two", and thus it is an aban number.

Divisors: 1 2 4 173 229 346 458 692 916 39617 79234 158468 662689 1325378 2650756 114645197 151755781 229290394 303511562 458580788 607023124 26253750113 52507500226 105015000452