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130430021304141 = 33132241433273919
BaseRepresentation
bin11101101010000000011011…
…000101100111111101001101
3122002210222200102221220221000
4131222000123011213331031
5114043431140423213031
61141222420302530513
736321154342401516
oct3552003305477515
9562728612856830
10130430021304141
11386170747a4789
1212766266296a39
1357a1662807500
14242cbbd553a0d
151012bb68c83e6
hex76a01b167f4d

130430021304141 has 96 divisors (see below), whose sum is σ = 210591054643200. Its totient is φ = 79746689617920.

The previous prime is 130430021304133. The next prime is 130430021304211. The reversal of 130430021304141 is 141403120034031.

130430021304141 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 30 + 0 + 213 + 0 + 414 + 1 = 666.

It is not a de Polignac number, because 130430021304141 - 23 = 130430021304133 is a prime.

It is a super-3 number, since 3×1304300213041413 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130430021304641) 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, 476025780 + ... + 476299698.

It is an arithmetic number, because the mean of its divisors is an integer number (2193656819200).

Almost surely, 2130430021304141 is an apocalyptic number.

It is an amenable number.

130430021304141 is a deficient number, since it is larger than the sum of its proper divisors (80161033339059).

130430021304141 is a wasteful number, since it uses less digits than its factorization.

130430021304141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274628 (or 274609 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 130430021304141 its reverse (141403120034031), we get a palindrome (271833141338172).

The spelling of 130430021304141 in words is "one hundred thirty trillion, four hundred thirty billion, twenty-one million, three hundred four thousand, one hundred forty-one".

Divisors: 1 3 9 13 27 39 117 169 241 351 433 507 723 1299 1521 2169 3133 3897 4563 5629 6507 9399 11691 16887 28197 40729 50661 73177 84591 104353 122187 151983 219531 273919 313059 366561 658593 821757 939177 1099683 1356589 1975779 2465271 2817531 3560947 4069767 7395813 10682841 12209301 17635657 32048523 36627903 46292311 52906971 66014479 96145569 118606927 138876933 158720913 198043437 355820781 416630799 476162739 594130311 858188227 1067462343 1249892397 1541890051 1782390933 2574564681 3202387029 4625670153 7723694043 11156446951 13877010459 20044570663 23171082129 28584269407 33469340853 41631031377 60133711989 85752808221 100408022559 180401135967 257258424663 301224067677 371595502291 541203407901 771775273989 1114786506873 3344359520619 4830741529783 10033078561857 14492224589349 43476673768047 130430021304141