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102075015220815 = 35721310682890133
BaseRepresentation
bin10111001101011000110001…
…000001011100111001001111
3111101102021110022112102201110
4113031120301001130321033
5101334344112344031230
61001032340432143103
730333451014410100
oct2715306101347117
9441367408472643
10102075015220815
112a58485300271a
12b5469a4097a93
1344c582bb82530
141b2c6583bc3a7
15bc031331e4b0
hex5cd63105ce4f

102075015220815 has 48 divisors (see below), whose sum is σ = 204598711846368. Its totient is φ = 43073413012224.

The previous prime is 102075015220807. The next prime is 102075015220817. The reversal of 102075015220815 is 518022510570201.

It is a happy number.

It is not a de Polignac number, because 102075015220815 - 23 = 102075015220807 is a prime.

It is a super-2 number, since 2×1020750152208152 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102075015220817) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5341435512 + ... + 5341454621.

It is an arithmetic number, because the mean of its divisors is an integer number (4262473163466).

Almost surely, 2102075015220815 is an apocalyptic number.

102075015220815 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

102075015220815 is an abundant number, since it is smaller than the sum of its proper divisors (102523696625553).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102075015220815 is a wasteful number, since it uses less digits than its factorization.

102075015220815 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10682890168 (or 10682890161 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 39.

The spelling of 102075015220815 in words is "one hundred two trillion, seventy-five billion, fifteen million, two hundred twenty thousand, eight hundred fifteen".

Divisors: 1 3 5 7 13 15 21 35 39 49 65 91 105 147 195 245 273 455 637 735 1365 1911 3185 9555 10682890133 32048670399 53414450665 74780230931 138877571729 160243351995 224340692793 373901154655 416632715187 523461616517 694387858645 972143002103 1121703463965 1570384849551 2083163575935 2617308082585 2916429006309 4860715010515 6805001014721 7851924247755 14582145031545 20415003044163 34025005073605 102075015220815