Search a number
-
+
110010100021110 = 233511031261329287
BaseRepresentation
bin11001000000110110111000…
…111011101111011101110110
3112102111212022000112000102000
4121000312320323233131312
5103404401141101133420
61025545535310200130
732112652555342332
oct3100667073573566
9472455260460360
10110010100021110
1132064026560583
121040883bab3046
13494cba590bc03
141d2473549c7c2
15cab93627b690
hex640db8eef776

110010100021110 has 128 divisors (see below), whose sum is σ = 293659538780160. Its totient is φ = 29306105659008.

The previous prime is 110010100021109. The next prime is 110010100021163. The reversal of 110010100021110 is 11120001010011.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 110010100021092 and 110010100021101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3756262887 + ... + 3756292173.

It is an arithmetic number, because the mean of its divisors is an integer number (2294215146720).

Almost surely, 2110010100021110 is an apocalyptic number.

110010100021110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

110010100021110 is an abundant number, since it is smaller than the sum of its proper divisors (183649438759050).

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

110010100021110 is a wasteful number, since it uses less digits than its factorization.

110010100021110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43019 (or 43013 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 110010100021110 its reverse (11120001010011), we get a palindrome (121130101031121).

The spelling of 110010100021110 in words is "one hundred ten trillion, ten billion, one hundred million, twenty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 1103 2206 3309 5515 6618 9927 11030 12613 16545 19854 25226 29287 29781 33090 37839 49635 58574 59562 63065 75678 87861 99270 113517 126130 146435 148905 175722 189195 227034 263583 292870 297810 340551 378390 439305 527166 567585 681102 790749 878610 1135170 1317915 1581498 1702755 2635830 3405510 3953745 7907490 13912139 27824278 32303561 41736417 64607122 69560695 83472834 96910683 125209251 139121390 161517805 193821366 208682085 250418502 290732049 323035610 369396931 375627753 417364170 484553415 581464098 626046255 738793862 751255506 872196147 969106830 1108190793 1252092510 1453660245 1744392294 1846984655 1878138765 2216381586 2907320490 3324572379 3693969310 3756277530 4360980735 5540953965 6649144758 8721961470 9973717137 11081907930 16622861895 19947434274 33245723790 49868585685 99737171370 407444814893 814889629786 1222334444679 2037224074465 2444668889358 3667003334037 4074448148930 6111672223395 7334006668074 11001010002111 12223344446790 18335016670185 22002020004222 36670033340370 55005050010555 110010100021110