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130201034431341 = 34355759325153
BaseRepresentation
bin11101100110101011001010…
…011010000001101101101101
3122002000002121221202112022010
4131212223022122001231231
5114031203204303300331
61140525310211311433
736265500003162336
oct3546531232015555
9562002557675263
10130201034431341
1138538a48669a65
12127299babab579
135785b9bca84c3
142421a997d128d
15100bc63750e46
hex766aca681b6d

130201034431341 has 48 divisors (see below), whose sum is σ = 178292737123776. Its totient is φ = 84470746472448.

The previous prime is 130201034431313. The next prime is 130201034431367. The reversal of 130201034431341 is 143134430102031.

It is not a de Polignac number, because 130201034431341 - 27 = 130201034431213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 130201034431299 and 130201034431308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130201034431241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25267033021 + ... + 25267038173.

It is an arithmetic number, because the mean of its divisors is an integer number (3714432023412).

Almost surely, 2130201034431341 is an apocalyptic number.

It is an amenable number.

130201034431341 is a deficient number, since it is larger than the sum of its proper divisors (48091702692435).

130201034431341 is an frugal number, since it uses more digits than its factorization.

130201034431341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6942 (or 6349 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 130201034431341 its reverse (143134430102031), we get a palindrome (273335464533372).

The spelling of 130201034431341 in words is "one hundred thirty trillion, two hundred one billion, thirty-four million, four hundred thirty-one thousand, three hundred forty-one".

Divisors: 1 3 43 129 557 593 1671 1779 5153 15459 23951 25499 71853 76497 221579 330301 351649 664737 990903 1054947 2870221 3055729 8610663 9167187 14202943 15120907 42608829 45362721 123419503 131396347 195868493 370258509 394189041 587605479 1702041053 1812047297 5106123159 5436141891 8422345199 25267035597 73187765279 77918033771 219563295837 233754101313 1009310344429 3027931033287 43400344810447 130201034431341