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13102119499225 = 52412176572
BaseRepresentation
bin1011111010101001001100…
…1011011011010111011001
31201101112212020100120212111
42332222103023123113121
53204131120042433400
643511010335512321
72521411510126051
oct276522313332731
951345766316774
1013102119499225
1141a1639981a49
1215773413886a1
137406a86221c3
1433420876a561
1517ac399db3ba
hexbea932db5d9

13102119499225 has 27 divisors (see below), whose sum is σ = 16653495428791. Its totient is φ = 10225465337600.

The previous prime is 13102119499171. The next prime is 13102119499243. The reversal of 13102119499225 is 52299491120131.

The square root of 13102119499225 is 3619685.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 11536708144329 + 1565411354896 = 3396573^2 + 1251164^2 .

It is not a de Polignac number, because 13102119499225 - 213 = 13102119491033 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 742026597 + ... + 742044253.

Almost surely, 213102119499225 is an apocalyptic number.

13102119499225 is the 3619685-th square number.

13102119499225 is the 1809843-rd centered octagonal number.

It is an amenable number.

13102119499225 is a deficient number, since it is larger than the sum of its proper divisors (3551375929566).

13102119499225 is an frugal number, since it uses more digits than its factorization.

13102119499225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35406 (or 17703 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 49.

Multiplying 13102119499225 by its sum of digits (49), we get a square (642003855462025 = 253377952).

It can be divided in two parts, 13102119 and 499225, that added together give a square (13601344 = 36882).

The spelling of 13102119499225 in words is "thirteen trillion, one hundred two billion, one hundred nineteen million, four hundred ninety-nine thousand, two hundred twenty-five".

Divisors: 1 5 25 41 205 1025 1681 8405 17657 42025 88285 441425 723937 3619685 18098425 29681417 148407085 311769649 742035425 1558848245 7794241225 12782555609 63912778045 319563890225 524084779969 2620423899845 13102119499225