Search a number
-
+
110212100002110 = 235103193313590431
BaseRepresentation
bin11001000011110011000001…
…000100100001000100111110
3112110020011200202010021001210
4121003303001010201010332
5103421203340100031420
61030222423442545250
732133363403011621
oct3103630104410476
9473204622107053
10110212100002110
1132131764256037
121043ba15368226
134965c583998a2
141d30419031db8
15cb1d0a0ac9e0
hex643cc112113e

110212100002110 has 128 divisors (see below), whose sum is σ = 269319066771456. Its totient is φ = 28861200875520.

The previous prime is 110212100002063. The next prime is 110212100002127. The reversal of 110212100002110 is 11200001212011.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 186368595 + ... + 186959025.

It is an arithmetic number, because the mean of its divisors is an integer number (2104055209152).

Almost surely, 2110212100002110 is an apocalyptic number.

110212100002110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

110212100002110 is an abundant number, since it is smaller than the sum of its proper divisors (159106966769346).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110212100002110 is a wasteful number, since it uses less digits than its factorization.

110212100002110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591050.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 110212100002110 its reverse (11200001212011), we get a palindrome (121412101214121).

The spelling of 110212100002110 in words is "one hundred ten trillion, two hundred twelve billion, one hundred million, two thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 103 193 206 309 313 386 515 579 618 626 939 965 1030 1158 1545 1565 1878 1930 2895 3090 3130 4695 5790 9390 19879 32239 39758 59637 60409 64478 96717 99395 119274 120818 161195 181227 193434 198790 298185 302045 322390 362454 483585 590431 596370 604090 906135 967170 1180862 1771293 1812270 2952155 3542586 5904310 6222127 8856465 12444254 17712930 18666381 31110635 37332762 60814393 62221270 93331905 113953183 121628786 182443179 184804903 186663810 227906366 304071965 341859549 364886358 369609806 554414709 569765915 608143930 683719098 912215895 924024515 1108829418 1139531830 1709297745 1824431790 1848049030 2772073545 3418595490 5544147090 11737177849 19034905009 23474355698 35211533547 35667346279 38069810018 57104715027 58685889245 70423067094 71334692558 95174525045 107002038837 114209430054 117371778490 176057667735 178336731395 190349050090 214004077674 285523575135 352115335470 356673462790 535010194185 571047150270 1070020388370 3673736666737 7347473333474 11021210000211 18368683333685 22042420000422 36737366667370 55106050001055 110212100002110