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105214530001 = 723975298353
BaseRepresentation
bin110000111111101000…
…1100101000111010001
3101001120120200220122111
41201333101211013101
53210434404430001
6120200200305321
710413212514610
oct1417721450721
9331516626574
10105214530001
114069194a729
1218484172241
139bc9c42059
145141807877
152b0be1a851
hex187f4651d1

105214530001 has 16 divisors (see below), whose sum is σ = 120778790400. Its totient is φ = 89783866368.

The previous prime is 105214529999. The next prime is 105214530011. The reversal of 105214530001 is 100035412501.

It is a happy number.

It is not a de Polignac number, because 105214530001 - 21 = 105214529999 is a prime.

It is a super-2 number, since 2×1052145300012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105214530011) 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 15 ways as a sum of consecutive naturals, for example, 12591841 + ... + 12600193.

It is an arithmetic number, because the mean of its divisors is an integer number (7548674400).

Almost surely, 2105214530001 is an apocalyptic number.

It is an amenable number.

105214530001 is a deficient number, since it is larger than the sum of its proper divisors (15564260399).

105214530001 is an equidigital number, since it uses as much as digits as its factorization.

105214530001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16128.

The product of its (nonzero) digits is 600, while the sum is 22.

Adding to 105214530001 its reverse (100035412501), we get a palindrome (205249942502).

The spelling of 105214530001 in words is "one hundred five billion, two hundred fourteen million, five hundred thirty thousand, one".

Divisors: 1 7 239 1673 7529 8353 52703 58471 1799431 1996367 12596017 13974569 62889737 440228159 15030647143 105214530001