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102013125225 = 35211313988783
BaseRepresentation
bin101111100000001110…
…1001100001001101001
3100202022110200200220020
41133000131030021221
53132410330001400
6114510355151053
710240660154154
oct1370035141151
9322273620806
10102013125225
113a299827960
121792bba5489
139809900cbb
144d1a574c9b
1529c0d412a0
hex17c074c269

102013125225 has 48 divisors (see below), whose sum is σ = 189929938944. Its totient is φ = 47865384000.

The previous prime is 102013125211. The next prime is 102013125229. The reversal of 102013125225 is 522521310201.

It is not a de Polignac number, because 102013125225 - 213 = 102013117033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102013125195 and 102013125204.

It is not an unprimeable number, because it can be changed into a prime (102013125229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1968817 + ... + 2019966.

It is an arithmetic number, because the mean of its divisors is an integer number (3956873728).

Almost surely, 2102013125225 is an apocalyptic number.

102013125225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102013125225 is a deficient number, since it is larger than the sum of its proper divisors (87916813719).

102013125225 is a wasteful number, since it uses less digits than its factorization.

102013125225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3988838 (or 3988833 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 102013125225 its reverse (522521310201), we get a palindrome (624534435426).

The spelling of 102013125225 in words is "one hundred two billion, thirteen million, one hundred twenty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 11 15 25 31 33 55 75 93 155 165 275 341 465 775 825 1023 1705 2325 5115 8525 25575 3988783 11966349 19943915 43876613 59831745 99719575 123652273 131629839 219383065 299158725 370956819 618261365 658149195 1096915325 1360175003 1854784095 3091306825 3290745975 4080525009 6800875015 9273920475 20402625045 34004375075 102013125225