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130271418459 = 3271310311871301
BaseRepresentation
bin111100101010011001…
…0000001100001011011
3110110020211122201202100
41321110302001201123
54113243440342314
6135502412334443
712261150533550
oct1712462014133
9413224581670
10130271418459
115027a901906
12212b7774423
13c3911a6180
14643b55ca27
1535c6ac8c09
hex1e54c8185b

130271418459 has 96 divisors (see below), whose sum is σ = 234219009024. Its totient is φ = 67937875200.

The previous prime is 130271418427. The next prime is 130271418461. The reversal of 130271418459 is 954814172031.

130271418459 is a `hidden beast` number, since 1 + 30 + 27 + 141 + 8 + 459 = 666.

It is not a de Polignac number, because 130271418459 - 25 = 130271418427 is a prime.

It is not an unprimeable number, because it can be changed into a prime (130271418359) 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 95 ways as a sum of consecutive naturals, for example, 100131109 + ... + 100132409.

It is an arithmetic number, because the mean of its divisors is an integer number (2439781344).

Almost surely, 2130271418459 is an apocalyptic number.

130271418459 is a deficient number, since it is larger than the sum of its proper divisors (103947590565).

130271418459 is a wasteful number, since it uses less digits than its factorization.

130271418459 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2617 (or 2614 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 130271418459 in words is "one hundred thirty billion, two hundred seventy-one million, four hundred eighteen thousand, four hundred fifty-nine".

Divisors: 1 3 7 9 13 21 39 63 91 103 117 273 309 721 819 927 1187 1301 1339 2163 3561 3903 4017 6489 8309 9107 9373 10683 11709 12051 15431 16913 24927 27321 28119 46293 50739 74781 81963 84357 108017 118391 122261 134003 138879 152217 324051 355173 366783 402009 855827 938021 972153 1065519 1100349 1206027 1544287 1589393 1742039 2567481 2814063 4632861 4768179 5226117 7702443 8442189 10810009 11125751 12194273 13898583 14304537 15678351 20075731 32430027 33377253 36582819 60227193 97290081 100131759 109748457 140530117 159061561 180681579 421590351 477184683 1113430927 1264771053 1431554049 2067800293 3340292781 6203400879 10020878343 14474602051 18610202637 43423806153 130271418459