Search a number
-
+
132210100314005 = 5729795937573673
BaseRepresentation
bin11110000011111010010000…
…000100001001111110010101
3122100010011101012122221022012
4132003322100010021332111
5114312112241140022010
61145104252005514005
736563602351336250
oct3603722004117625
9570104335587265
10132210100314005
1139142a96a0a65a
12129b3253112905
1358a048884958c
142491008326097
15104414c5c1005
hex783e90109f95

132210100314005 has 128 divisors (see below), whose sum is σ = 190566817689600. Its totient is φ = 86141028040704.

The previous prime is 132210100313923. The next prime is 132210100314029. The reversal of 132210100314005 is 500413001012231.

It is not a de Polignac number, because 132210100314005 - 212 = 132210100309909 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35995124849 + ... + 35995128521.

It is an arithmetic number, because the mean of its divisors is an integer number (1488803263200).

Almost surely, 2132210100314005 is an apocalyptic number.

It is an amenable number.

132210100314005 is a deficient number, since it is larger than the sum of its proper divisors (58356717375595).

132210100314005 is a wasteful number, since it uses less digits than its factorization.

132210100314005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5143.

The product of its (nonzero) digits is 720, while the sum is 23.

Adding to 132210100314005 its reverse (500413001012231), we get a palindrome (632623101326236).

The spelling of 132210100314005 in words is "one hundred thirty-two trillion, two hundred ten billion, one hundred million, three hundred fourteen thousand, five".

Divisors: 1 5 7 29 35 79 145 203 395 553 593 757 1015 2291 2765 2965 3673 3785 4151 5299 11455 16037 17197 18365 20755 21953 25711 26495 46847 59803 80185 85985 106517 109765 120379 128555 153671 234235 290167 299015 327929 418621 448901 532585 601895 745619 768355 1358563 1450835 1639645 1734287 2031169 2093105 2178089 2244505 2780461 3142307 3728095 6792815 8414843 8671435 9509941 10155845 10890445 12140009 13018129 13902305 15246623 15711535 19463227 35463179 42074215 47549705 58903901 60700045 63164581 65090645 76233115 80633369 91126903 97316135 172069031 177315895 219656419 248242253 294519505 315822905 403166845 442152067 455634515 564433583 860345155 1028432191 1098282095 1204483217 1241211265 1537594933 1648813373 2210760335 2822167915 4990001899 5142160955 6022416085 6370036151 7199025337 7687974665 8244066865 11541693611 24950009495 31850180755 34930013293 35995126685 44590253057 47815587817 57708468055 130256256467 174650066465 222951265285 239077939085 334709114719 651281282335 911793795269 1673545573595 3777431437543 4558968976345 18887157187715 26442020062801 132210100314005