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11101011000002 = 27211223401101503
BaseRepresentation
bin1010000110001010011111…
…0100010011101011000010
31110022020122112200010211122
42201202213310103223002
52423334332304000002
635335422315512242
72224010254415600
oct241424764235302
943266575603748
1011101011000002
11359aa04341300
1212b354a158682
13626a89522741
142a54129a8870
15143b695496a2
hexa18a7d13ac2

11101011000002 has 144 divisors (see below), whose sum is σ = 22272460793856. Its totient is φ = 4126665312000.

The previous prime is 11101010999917. The next prime is 11101011000007. The reversal of 11101011000002 is 20000011010111.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11101011000007) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 109315583 + ... + 109417085.

It is an arithmetic number, because the mean of its divisors is an integer number (154669866624).

Almost surely, 211101011000002 is an apocalyptic number.

11101011000002 is an abundant number, since it is smaller than the sum of its proper divisors (11171449793854).

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

11101011000002 is a wasteful number, since it uses less digits than its factorization.

11101011000002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101965 (or 101947 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 11101011000002 its reverse (20000011010111), we get a palindrome (31101022010113).

The spelling of 11101011000002 in words is "eleven trillion, one hundred one billion, eleven million, two", and thus it is an aban number.

Divisors: 1 2 7 11 14 22 23 46 49 77 98 121 154 161 242 253 322 401 506 539 802 847 1078 1127 1694 1771 2254 2783 2807 3542 4411 5566 5614 5929 8822 9223 11858 12397 18446 19481 19649 24794 30877 38962 39298 48521 61754 64561 97042 101453 101503 129122 136367 202906 203006 216139 272734 339647 432278 451927 679294 710171 710521 903854 1115983 1116533 1420342 1421042 2231966 2233066 2334569 2377529 4669138 4755058 4971197 4973647 7811881 7815731 9942394 9947294 12281863 15623762 15631462 16341983 24563726 25680259 32683966 40702703 51360518 54683167 54710117 81405406 85973041 109366334 109420234 114393881 171946082 179761813 228787762 282482849 284918921 359523626 447729733 564965698 569837842 601811287 895459466 936162169 1203622574 1258332691 1872324338 1977379943 1994432447 2516665382 3134108131 3954759886 3988864894 4925027063 6268216262 6553135183 9850054126 10297783859 13106270366 13841659601 20595567718 21938756917 27683319202 34475189441 43877513834 45871946281 68950378882 72084487013 91743892562 113275622449 144168974026 226551244898 241326326087 482652652174 504591409091 792929357143 1009182818182 1585858714286 5550505500001 11101011000002