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103031340201441 = 32172729992466703
BaseRepresentation
bin10111011011010011011010…
…011011101111010111100001
3111111210200220020200222212100
4113123103122123233113201
5102001031141042421231
61003043535543321013
730462524441543121
oct2733233233572741
9444720806628770
10103031340201441
112a913389582083
12b6801b7450169
134564a768b0332
141b62a5a13ac81
15bda13561e1e6
hex5db4da6ef5e1

103031340201441 has 24 divisors (see below), whose sum is σ = 157577984928000. Its totient is φ = 64646852409216.

The previous prime is 103031340201379. The next prime is 103031340201557. The reversal of 103031340201441 is 144102043130301.

103031340201441 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 3 + 13 + 4 + 0 + 201 + 441 = 666.

It is not a de Polignac number, because 103031340201441 - 223 = 103031331812833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (103031340201241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40535496 + ... + 43002198.

It is an arithmetic number, because the mean of its divisors is an integer number (6565749372000).

Almost surely, 2103031340201441 is an apocalyptic number.

It is an amenable number.

103031340201441 is a deficient number, since it is larger than the sum of its proper divisors (54546644726559).

103031340201441 is a wasteful number, since it uses less digits than its factorization.

103031340201441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2739725 (or 2739722 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 103031340201441 its reverse (144102043130301), we get a palindrome (247133383331742).

The spelling of 103031340201441 in words is "one hundred three trillion, thirty-one billion, three hundred forty million, two hundred one thousand, four hundred forty-one".

Divisors: 1 3 9 17 51 153 272999 818997 2456991 2466703 4640983 7400109 13922949 22200327 41768847 41933951 125801853 377405559 673407452297 2020222356891 6060667070673 11447926689049 34343780067147 103031340201441