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106032330401 = 207973509837
BaseRepresentation
bin110001011000000000…
…1001111011010100001
3101010200120112110220012
41202300001033122201
53214123234033101
6120413252454305
710442402636414
oct1426001173241
9333616473805
10106032330401
1140a71539228
121867201a395
139cca4b810a
1451bc287b7b
152b58b0bbbb
hex18b004f6a1

106032330401 has 4 divisors (see below), whose sum is σ = 106033048212. Its totient is φ = 106031612592.

The previous prime is 106032330389. The next prime is 106032330427. The reversal of 106032330401 is 104033230601.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 31604306176 + 74428024225 = 177776^2 + 272815^2 .

It is a cyclic number.

It is not a de Polignac number, because 106032330401 - 218 = 106032068257 is a prime.

It is a super-3 number, since 3×1060323304013 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106032330451) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 46946 + ... + 462891.

It is an arithmetic number, because the mean of its divisors is an integer number (26508262053).

Almost surely, 2106032330401 is an apocalyptic number.

It is an amenable number.

106032330401 is a deficient number, since it is larger than the sum of its proper divisors (717811).

106032330401 is an equidigital number, since it uses as much as digits as its factorization.

106032330401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717810.

The product of its (nonzero) digits is 1296, while the sum is 23.

The spelling of 106032330401 in words is "one hundred six billion, thirty-two million, three hundred thirty thousand, four hundred one".

Divisors: 1 207973 509837 106032330401