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13204341133425 = 32521317318566043
BaseRepresentation
bin1100000000100110000000…
…0100000001000001110001
31201202022201020101122022100
43000021200010001001301
53212314442312232200
644025553544131013
72531660611520151
oct300114004010161
951668636348270
1013204341133425
114230a25373772
12159310b166a69
1374a2194994a0
1433914489a761
1517d71dcb7d00
hexc0260101071

13204341133425 has 144 divisors (see below), whose sum is σ = 27837861262848. Its totient is φ = 5920848230400.

The previous prime is 13204341133393. The next prime is 13204341133457. The reversal of 13204341133425 is 52433114340231.

13204341133425 is a `hidden beast` number, since 1 + 3 + 20 + 43 + 41 + 133 + 425 = 666.

It is an interprime number because it is at equal distance from previous prime (13204341133393) and next prime (13204341133457).

It is not a de Polignac number, because 13204341133425 - 25 = 13204341133393 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13204341133425.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2741547 + ... + 5824496.

It is an arithmetic number, because the mean of its divisors is an integer number (193318480992).

Almost surely, 213204341133425 is an apocalyptic number.

13204341133425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13204341133425 is an abundant number, since it is smaller than the sum of its proper divisors (14633520129423).

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

13204341133425 is a wasteful number, since it uses less digits than its factorization.

13204341133425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8566120 (or 8566112 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 13204341133425 its reverse (52433114340231), we get a palindrome (65637455473656).

The spelling of 13204341133425 in words is "thirteen trillion, two hundred four billion, three hundred forty-one million, one hundred thirty-three thousand, four hundred twenty-five".

Divisors: 1 3 5 9 13 15 17 25 31 39 45 51 65 75 85 93 117 153 155 195 221 225 255 279 325 403 425 465 527 585 663 765 775 975 1105 1209 1275 1395 1581 1989 2015 2325 2635 2925 3315 3627 3825 4743 5525 6045 6851 6975 7905 9945 10075 13175 16575 18135 20553 23715 30225 34255 39525 49725 61659 90675 102765 118575 171275 308295 513825 1541475 8566043 25698129 42830215 77094387 111358559 128490645 145622731 214151075 265547333 334075677 385471935 436868193 556792795 642453225 728113655 796641999 1002227031 1310604579 1327736665 1670378385 1893095503 1927359675 2184340965 2389925997 2783963975 3452115329 3640568275 3983209995 4514304661 5011135155 5679286509 6553022895 6638683325 8351891925 9465477515 10356345987 10921704825 11949629985 13542913983 17037859527 17260576645 19916049975 22571523305 25055675775 28396432545 31069037961 32765114475 40628741949 47327387575 51781729935 58685960593 59748149925 67714569915 85189297635 86302883225 112857616525 141982162725 155345189805 176057881779 203143709745 258908649675 293429802965 338572849575 425946488175 528173645337 776725949025 880289408895 1015718548725 1467149014825 2640868226685 4401447044475 13204341133425