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11100110100102 = 232191091153258253
BaseRepresentation
bin1010000110000111001000…
…0111101001011010000110
31110022011022202110200111200
42201201302013221122012
52423331011141200402
635335153054243330
72223646035041352
oct241416207513206
943264282420450
1011100110100102
11359a591854931
1212b33384b6546
136269749a258a
142a5369096462
15143b153e121c
hexa18721e9686

11100110100102 has 96 divisors (see below), whose sum is σ = 25570554952800. Its totient is φ = 3470113529856.

The previous prime is 11100110100077. The next prime is 11100110100137. The reversal of 11100110100102 is 20100101100111.

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

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 47 ways as a sum of consecutive naturals, for example, 42852408 + ... + 43110660.

It is an arithmetic number, because the mean of its divisors is an integer number (266359947425).

Almost surely, 211100110100102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11100110100102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12785277476400).

11100110100102 is an abundant number, since it is smaller than the sum of its proper divisors (14470444852698).

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

11100110100102 is a wasteful number, since it uses less digits than its factorization.

11100110100102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259542 (or 259539 counting only the distinct ones).

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

Adding to 11100110100102 its reverse (20100101100111), we get a palindrome (31200211200213).

The spelling of 11100110100102 in words is "eleven trillion, one hundred billion, one hundred ten million, one hundred thousand, one hundred two".

Divisors: 1 2 3 6 9 18 19 38 57 109 114 171 218 327 342 654 981 1153 1962 2071 2306 3459 4142 6213 6918 10377 12426 18639 20754 21907 37278 43814 65721 125677 131442 197163 251354 258253 377031 394326 516506 754062 774759 1131093 1549518 2262186 2324277 2387863 4648554 4775726 4906807 7163589 9813614 14327178 14720421 21490767 28149577 29440842 42981534 44161263 56299154 84448731 88322526 168897462 253346193 297765709 506692386 534841963 595531418 893297127 1069683926 1604525889 1786594254 2679891381 3209051778 4813577667 5359782762 5657548471 9627155334 11315096942 16972645413 32456462281 33945290826 50917936239 64912924562 97369386843 101835872478 194738773686 292108160529 584216321058 616672783339 1233345566678 1850018350017 3700036700034 5550055050051 11100110100102