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131134212420225 = 35271933893326977
BaseRepresentation
bin11101110100010000010000…
…001001100011001010000001
3122012022022022201210002002120
4131310100100021203022001
5114142000331334421400
61142522120414234453
736423064013205420
oct3564202011431201
9565268281702076
10131134212420225
1138868786281983
121285a8324b5a29
135822b9835c5a1
142454d0331b2b7
15102617d8a7ca0
hex774410263281

131134212420225 has 96 divisors (see below), whose sum is σ = 249705402236160. Its totient is φ = 59483136983040.

The previous prime is 131134212420163. The next prime is 131134212420257. The reversal of 131134212420225 is 522024212431131.

It is not a de Polignac number, because 131134212420225 - 229 = 131133675549313 is a prime.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 37751937 + ... + 41078913.

It is an arithmetic number, because the mean of its divisors is an integer number (2601097939960).

Almost surely, 2131134212420225 is an apocalyptic number.

131134212420225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131134212420225 is a deficient number, since it is larger than the sum of its proper divisors (118571189815935).

131134212420225 is a wasteful number, since it uses less digits than its factorization.

131134212420225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3327579 (or 3327574 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

Adding to 131134212420225 its reverse (522024212431131), we get a palindrome (653158424851356).

The spelling of 131134212420225 in words is "one hundred thirty-one trillion, one hundred thirty-four billion, two hundred twelve million, four hundred twenty thousand, two hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 75 105 175 193 389 525 579 965 1167 1351 1945 2723 2895 4053 4825 5835 6755 8169 9725 13615 14475 20265 29175 33775 40845 68075 75077 101325 204225 225231 375385 525539 1126155 1576617 1876925 2627695 3326977 5630775 7883085 9980931 13138475 16634885 23288839 39415425 49904655 69866517 83174425 116444195 249523275 349332585 582220975 642106561 1294194053 1746662925 1926319683 3210532805 3882582159 4494745927 6470970265 9059358371 9631598415 13484237781 16052664025 19412910795 22473729635 27178075113 32354851325 45296791855 48157992075 67421188905 97064553975 112368648175 135890375565 226483959275 249779452229 337105944525 679451877825 749338356687 1248897261145 1748456165603 3746691783435 5245368496809 6244486305725 8742280828015 18733458917175 26226842484045 43711404140075 131134212420225