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641146113111 = 371929316832617
BaseRepresentation
bin10010101010001110100…
…10010100110001010111
32021021220120112011121110
421111013102110301113
541001031401104421
61210312150150103
764215125020320
oct11250722246127
92237816464543
10641146113111
112279aa2a2359
12a4312652333
13485c92b78ba
1423062b55447
1511a27298a76
hex9547494c57

641146113111 has 128 divisors (see below), whose sum is σ = 1100213452800. Its totient is φ = 323709281280.

The previous prime is 641146113109. The next prime is 641146113121. The reversal of 641146113111 is 111311641146.

It is not a de Polignac number, because 641146113111 - 21 = 641146113109 is a prime.

It is a super-2 number, since 2×6411461131112 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641146113121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 244991475 + ... + 244994091.

It is an arithmetic number, because the mean of its divisors is an integer number (8595417600).

Almost surely, 2641146113111 is an apocalyptic number.

641146113111 is a deficient number, since it is larger than the sum of its proper divisors (459067339689).

641146113111 is a wasteful number, since it uses less digits than its factorization.

641146113111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3389.

The product of its digits is 1728, while the sum is 30.

Adding to 641146113111 its reverse (111311641146), we get a palindrome (752457754257).

The spelling of 641146113111 in words is "six hundred forty-one billion, one hundred forty-six million, one hundred thirteen thousand, one hundred eleven".

Divisors: 1 3 7 19 21 29 31 57 87 93 133 203 217 399 551 589 609 651 683 899 1653 1767 2049 2617 2697 3857 4123 4781 6293 7851 11571 12369 12977 14343 17081 18319 18879 19807 21173 38931 49723 51243 54957 59421 63519 75893 81127 90839 119567 138649 148211 149169 227679 243381 272517 348061 358701 376333 402287 415947 444633 531251 567889 614017 1044183 1128999 1206861 1441967 1541413 1593753 1703667 1787411 1842051 2352683 2634331 2816009 4298119 4325901 4624239 5362233 7058049 7902993 8448027 10093769 10789891 11666323 12511877 12894357 16468781 30281307 32369673 33960809 34998969 37535631 44700977 49406343 51834919 55409741 81664261 101882427 134102931 155504757 166229223 237725663 244992783 312906839 362844433 387868187 713176989 938720517 984863461 1052785079 1088533299 1163604561 1606882489 2954590383 3158355237 4820647467 6894044227 7369495553 11248177423 20682132681 22108486659 30530767291 33744532269 91592301873 213715371037 641146113111