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102041286815 = 51310315241417
BaseRepresentation
bin101111100001000100…
…0100111100010011111
3100202101102200110100002
41133002020213202133
53132440032134230
6114513242524515
710241451425006
oct1370210474237
9322342613302
10102041286815
113a3037120a6
121793950673b
1398126b1270
144d201c5c3d
1529c3555545
hex17c222789f

102041286815 has 16 divisors (see below), whose sum is σ = 133149027648. Its totient is φ = 74621972736.

The previous prime is 102041286757. The next prime is 102041286839. The reversal of 102041286815 is 518682140201.

It is a cyclic number.

It is not a de Polignac number, because 102041286815 - 216 = 102041221279 is a prime.

It is a super-2 number, since 2×1020412868152 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 7614014 + ... + 7627403.

It is an arithmetic number, because the mean of its divisors is an integer number (8321814228).

Almost surely, 2102041286815 is an apocalyptic number.

102041286815 is a deficient number, since it is larger than the sum of its proper divisors (31107740833).

102041286815 is a wasteful number, since it uses less digits than its factorization.

102041286815 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15241538.

The product of its (nonzero) digits is 30720, while the sum is 38.

The spelling of 102041286815 in words is "one hundred two billion, forty-one million, two hundred eighty-six thousand, eight hundred fifteen".

Divisors: 1 5 13 65 103 515 1339 6695 15241417 76207085 198138421 990692105 1569865951 7849329755 20408257363 102041286815