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130102256025 = 33527178315443
BaseRepresentation
bin111100100101010110…
…0101110000110011001
3110102211001100101112000
41321022230232012121
54112422134143100
6135433530511213
712254024633610
oct1711254560631
9412731311460
10130102256025
11501a3371645
122126ab95509
13c365128161
146422cc6877
1535b6d11900
hex1e4ab2e199

130102256025 has 96 divisors (see below), whose sum is σ = 273316792320. Its totient is φ = 59438111040.

The previous prime is 130102256003. The next prime is 130102256047. The reversal of 130102256025 is 520652201031.

It is a happy number.

130102256025 is a `hidden beast` number, since 1 + 30 + 1 + 0 + 2 + 25 + 602 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (130102256003) and next prime (130102256047).

It is not a de Polignac number, because 130102256025 - 29 = 130102255513 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 130102256025.

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 95 ways as a sum of consecutive naturals, for example, 8416954 + ... + 8432396.

It is an arithmetic number, because the mean of its divisors is an integer number (2847049920).

Almost surely, 2130102256025 is an apocalyptic number.

130102256025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

130102256025 is an abundant number, since it is smaller than the sum of its proper divisors (143214536295).

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

130102256025 is a wasteful number, since it uses less digits than its factorization.

130102256025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17252 (or 17241 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 130102256025 its reverse (520652201031), we get a palindrome (650754457056).

The spelling of 130102256025 in words is "one hundred thirty billion, one hundred two million, two hundred fifty-six thousand, twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 105 135 175 189 225 315 525 675 945 1575 1783 4725 5349 8915 12481 15443 16047 26745 37443 44575 46329 48141 62405 77215 80235 108101 112329 133725 138987 187215 231645 240705 312025 324303 336987 386075 401175 416961 540505 561645 694935 936075 972909 1158225 1203525 1621515 1684935 2084805 2702525 2808225 2918727 3474675 4864545 8107575 8424675 10424025 14593635 24322725 27534869 72968175 82604607 137674345 192744083 247813821 413023035 578232249 688371725 743441463 963720415 1239069105 1734696747 2065115175 2891161245 3717207315 4818602075 5204090241 6195345525 8673483735 14455806225 18586036575 26020451205 43367418675 130102256025