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31005103403105 = 51316717316510387
BaseRepresentation
bin1110000110010111100000…
…01011001011000001100001
311001210001120222001220220222
413003023300023023001201
513030441422432344410
6145535314201212425
76350021236350416
oct703136013130141
9131701528056828
1031005103403105
11997421062a267
123588bb6491115
13143b9cbacc130
147929254d010d
1538b7a95be955
hex1c32f02cb061

31005103403105 has 32 divisors (see below), whose sum is σ = 40541059609344. Its totient is φ = 22627417971456.

The previous prime is 31005103403059. The next prime is 31005103403137. The reversal of 31005103403105 is 50130430150013.

It is a cyclic number.

It is not a de Polignac number, because 31005103403105 - 210 = 31005103402081 is a prime.

It is a super-2 number, since 2×310051034031052 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6377279 + ... + 10133108.

It is an arithmetic number, because the mean of its divisors is an integer number (1266908112792).

Almost surely, 231005103403105 is an apocalyptic number.

It is an amenable number.

31005103403105 is a deficient number, since it is larger than the sum of its proper divisors (9535956206239).

31005103403105 is a wasteful number, since it uses less digits than its factorization.

31005103403105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16510745.

The product of its (nonzero) digits is 2700, while the sum is 26.

Adding to 31005103403105 its reverse (50130430150013), we get a palindrome (81135533553118).

The spelling of 31005103403105 in words is "thirty-one trillion, five billion, one hundred three million, four hundred three thousand, one hundred five".

Divisors: 1 5 13 65 167 173 835 865 2171 2249 10855 11245 28891 144455 375583 1877915 16510387 82551935 214635031 1073175155 2757234629 2856296951 13786173145 14281484755 35844050177 37131860363 179220250885 185659301815 477001590817 2385007954085 6201020680621 31005103403105