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101324401245 = 3255414162021
BaseRepresentation
bin101111001011101100…
…1111010101001011101
3100200112110201220012200
41132113121322221131
53130003021314440
6114314153322113
710214625125424
oct1362731725135
9320473656180
10101324401245
1139a75a8a391
1217779406339
13972a00c212
144c92cd42bb
152980649c30
hex179767aa5d

101324401245 has 24 divisors (see below), whose sum is σ = 175953642072. Its totient is φ = 53939779200.

The previous prime is 101324401231. The next prime is 101324401271. The reversal of 101324401245 is 542104423101.

101324401245 is a `hidden beast` number, since 1 + 0 + 13 + 2 + 4 + 401 + 245 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1794877956 + 99529523289 = 42366^2 + 315483^2 .

It is not a de Polignac number, because 101324401245 - 27 = 101324401117 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2056666 + ... + 2105355.

It is an arithmetic number, because the mean of its divisors is an integer number (7331401753).

Almost surely, 2101324401245 is an apocalyptic number.

101324401245 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101324401245 is a deficient number, since it is larger than the sum of its proper divisors (74629240827).

101324401245 is a wasteful number, since it uses less digits than its factorization.

101324401245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4162573 (or 4162570 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 101324401245 its reverse (542104423101), we get a palindrome (643428824346).

The spelling of 101324401245 in words is "one hundred one billion, three hundred twenty-four million, four hundred one thousand, two hundred forty-five".

Divisors: 1 3 5 9 15 45 541 1623 2705 4869 8115 24345 4162021 12486063 20810105 37458189 62430315 187290945 2251653361 6754960083 11258266805 20264880249 33774800415 101324401245