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105332702501 = 132623270429
BaseRepresentation
bin110001000011001010…
…0010111110100100101
3101001212211001200211202
41202012110113310211
53211210132440001
6120220021212245
710416146125055
oct1420624276445
9331784050752
10105332702501
1140742623454
12184b7861085
139c18579200
1451533a9565
152b174ae96b
hex1886517d25

105332702501 has 6 divisors (see below), whose sum is σ = 114058488690. Its totient is φ = 97230186768.

The previous prime is 105332702483. The next prime is 105332702507. The reversal of 105332702501 is 105207233501.

It is a Cunningham number, because it is equal to 3245502+1.

It can be written as a sum of positive squares in 3 ways, for example, as 1 + 105332702500 = 1^2 + 324550^2 .

It is not a de Polignac number, because 105332702501 - 214 = 105332686117 is a prime.

It is a super-2 number, since 2×1053327025012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105332702507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 311635046 + ... + 311635383.

It is an arithmetic number, because the mean of its divisors is an integer number (19009748115).

Almost surely, 2105332702501 is an apocalyptic number.

It is an amenable number.

105332702501 is a deficient number, since it is larger than the sum of its proper divisors (8725786189).

105332702501 is an equidigital number, since it uses as much as digits as its factorization.

105332702501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623270455 (or 623270442 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 29.

The spelling of 105332702501 in words is "one hundred five billion, three hundred thirty-two million, seven hundred two thousand, five hundred one".

Divisors: 1 13 169 623270429 8102515577 105332702501