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11101020101112 = 23319413469171163
BaseRepresentation
bin1010000110001010100001…
…0111000001100111111000
31110022020200011210112012210
42201202220113001213320
52423334342121213422
635335423242535120
72224010424652464
oct241425027014770
943266604715183
1011101020101112
11359aa09498087
1212b35512074a0
13626a8b38b106
142a5413c974a4
15143b6a24610c
hexa18a85c19f8

11101020101112 has 128 divisors (see below), whose sum is σ = 29934529632000. Its totient is φ = 3419077340160.

The previous prime is 11101020101057. The next prime is 11101020101113. The reversal of 11101020101112 is 21110102010111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101020101113) 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 31 ways as a sum of consecutive naturals, for example, 64770843 + ... + 64942005.

It is an arithmetic number, because the mean of its divisors is an integer number (233863512750).

Almost surely, 211101020101112 is an apocalyptic number.

11101020101112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11101020101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14967264816000).

11101020101112 is an abundant number, since it is smaller than the sum of its proper divisors (18833509530888).

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

11101020101112 is a wasteful number, since it uses less digits than its factorization.

11101020101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174701 (or 174697 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11101020101112 its reverse (21110102010111), we get a palindrome (32211122111223).

It can be divided in two parts, 1110102010111 and 2, that multiplied together give a palindrome (2220204020222).

The spelling of 11101020101112 in words is "eleven trillion, one hundred one billion, twenty million, one hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 24 38 41 57 76 82 114 123 152 164 228 246 328 456 492 779 984 1558 2337 3116 3469 4674 6232 6938 9348 10407 13876 18696 20814 27752 41628 65911 83256 131822 142229 171163 197733 263644 284458 342326 395466 426687 513489 527288 568916 684652 790932 853374 1026978 1137832 1369304 1581864 1706748 2053956 2702351 3252097 3413496 4107912 5404702 6504194 7017683 8107053 9756291 10809404 13008388 14035366 16214106 19512582 21053049 21618808 26016776 28070732 32428212 39025164 42106098 56141464 64856424 78050328 84212196 133335977 168424392 266671954 400007931 533343908 593764447 800015862 1066687816 1187528894 1600031724 1781293341 2375057788 3200063448 3562586682 4750115576 7125173364 11281524493 14250346728 22563048986 24344342327 33844573479 45126097972 48688684654 67689146958 73033026981 90252195944 97377369308 135378293916 146066053962 194754738616 270756587832 292132107924 462542504213 584264215848 925085008426 1387627512639 1850170016852 2775255025278 3700340033704 5550510050556 11101020101112