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130444242201 = 327135318116603
BaseRepresentation
bin111100101111100010…
…1010010110100011001
3110110200212212002100200
41321133011102310121
54114122211222301
6135531504452413
712265346523060
oct1713705226431
9413625762320
10130444242201
1150359412949
122134561a109
13c3bac36840
1464564a91d7
1535d6d65c86
hex1e5f152d19

130444242201 has 96 divisors (see below), whose sum is σ = 237596067072. Its totient is φ = 67130519040.

The previous prime is 130444242179. The next prime is 130444242221. The reversal of 130444242201 is 102242444031.

130444242201 is a `hidden beast` number, since 1 + 30 + 4 + 4 + 424 + 2 + 201 = 666.

It is not a de Polignac number, because 130444242201 - 221 = 130442145049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (130444242221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7848366 + ... + 7864968.

It is an arithmetic number, because the mean of its divisors is an integer number (2474959032).

Almost surely, 2130444242201 is an apocalyptic number.

It is an amenable number.

130444242201 is a deficient number, since it is larger than the sum of its proper divisors (107151824871).

130444242201 is a wasteful number, since it uses less digits than its factorization.

130444242201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16863 (or 16860 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 130444242201 its reverse (102242444031), we get a palindrome (232686686232).

The spelling of 130444242201 in words is "one hundred thirty billion, four hundred forty-four million, two hundred forty-two thousand, two hundred one".

Divisors: 1 3 7 9 13 21 39 53 63 91 117 159 181 273 371 477 543 689 819 1113 1267 1629 2067 2353 3339 3801 4823 6201 7059 9593 11403 14469 16471 16603 21177 28779 43407 49413 49809 67151 86337 116221 124709 148239 149427 201453 215839 348663 374127 604359 647517 872963 879959 1045989 1122381 1510873 1942551 2618889 2639877 3005143 4532619 6159713 7856667 7919631 9015429 11439467 13597857 18479139 21036001 27046287 34318401 39066859 55437417 63108003 80076269 102955203 117200577 159272579 189324009 240228807 273468013 351601731 477817737 720686421 820404039 1114908053 1433453211 2070543527 2461212117 3344724159 6211630581 10034172477 14493804689 18634891743 43481414067 130444242201