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1011100211121 = 3711133782311057
BaseRepresentation
bin11101011011010100100…
…01001101011110110001
310120122211022102120112110
432231222101031132301
5113031213123223441
62052254254315533
7133023001663410
oct16555221153661
93518738376473
101011100211121
1135a8947898a0
12143b5b4b8ba9
1374466babac0
1436d1a761477
151b47aeecb16
hexeb6a44d7b1

1011100211121 has 128 divisors (see below), whose sum is σ = 1861429764096. Its totient is φ = 471123578880.

The previous prime is 1011100211113. The next prime is 1011100211123. The reversal of 1011100211121 is 1211120011101.

It is not a de Polignac number, because 1011100211121 - 23 = 1011100211113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1011100211097 and 1011100211106.

It is not an unprimeable number, because it can be changed into a prime (1011100211123) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 91438825 + ... + 91449881.

It is an arithmetic number, because the mean of its divisors is an integer number (14542420032).

Almost surely, 21011100211121 is an apocalyptic number.

1011100211121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1011100211121 is a deficient number, since it is larger than the sum of its proper divisors (850329552975).

1011100211121 is a wasteful number, since it uses less digits than its factorization.

1011100211121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11951.

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

Adding to 1011100211121 its reverse (1211120011101), we get a palindrome (2222220222222).

It can be divided in two parts, 1011100 and 211121, that added together give a palindrome (1222221).

The spelling of 1011100211121 in words is "one trillion, eleven billion, one hundred million, two hundred eleven thousand, one hundred twenty-one".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 143 231 259 273 407 429 481 777 823 1001 1221 1443 2469 2849 3003 3367 5291 5761 8547 9053 10101 10699 11057 15873 17283 27159 30451 32097 33171 37037 63371 74893 77399 91353 111111 117689 121627 143741 190113 213157 224679 232197 334961 353067 364881 395863 409109 431223 639471 823823 851389 1004883 1006187 1187589 1227327 1581151 2344727 2471469 2554167 2771041 2863763 3018561 4354493 4500199 4743453 5318417 7034181 8313123 8591289 9099911 11068057 13063479 13500597 15955251 27299733 30481451 31501393 33204171 37228919 58502587 63699377 91444353 94504179 100099021 111686757 118298843 175507761 191098131 300297063 336696707 354896529 409518109 700693147 828091901 1010090121 1228554327 1301287273 2102079441 2356876949 2484275703 3703663777 3903861819 4377057191 7070630847 9109010911 11110991331 13131171573 25925646439 27327032733 30639400337 48147629101 77776939317 91918201011 144442887303 337033403707 1011100211121