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11012122011 = 311171953101193
BaseRepresentation
bin10100100000101111…
…11010010110011011
31001102110020202111210
422100113322112123
5140023100401021
65020415554203
7536614330662
oct122027722633
931373222453
1011012122011
114741068290
122173b2b963
1310665b0037
14766747dd9
15446b85e76
hex2905fa59b

11012122011 has 128 divisors (see below), whose sum is σ = 18464578560. Its totient is φ = 5750784000.

The previous prime is 11012121997. The next prime is 11012122031. The reversal of 11012122011 is 11022121011.

It is not a de Polignac number, because 11012122011 - 29 = 11012121499 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11012122031) 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, 57057531 + ... + 57057723.

It is an arithmetic number, because the mean of its divisors is an integer number (144254520).

Almost surely, 211012122011 is an apocalyptic number.

11012122011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11012122011 is a deficient number, since it is larger than the sum of its proper divisors (7452456549).

11012122011 is a wasteful number, since it uses less digits than its factorization.

11012122011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11012122011 its reverse (11022121011), we get a palindrome (22034243022).

It can be divided in two parts, 110 and 12122011, that added together give a palindrome (12122121).

The spelling of 11012122011 in words is "eleven billion, twelve million, one hundred twenty-two thousand, eleven".

Divisors: 1 3 11 17 19 33 51 53 57 101 159 187 193 209 303 323 561 579 583 627 901 969 1007 1111 1717 1749 1919 2123 2703 3021 3281 3333 3553 3667 5151 5353 5757 6369 9843 9911 10229 10659 11001 11077 16059 17119 18887 19493 21109 29733 30687 32623 33231 36091 40337 51357 56661 58479 58883 62339 63327 91001 97869 101707 108273 112519 121011 173893 176649 187017 188309 194351 214423 273003 305121 331381 337557 358853 370367 521679 564927 583053 643269 685729 994143 1001011 1033129 1076559 1111101 1118777 1729019 1912823 2057187 2137861 3003033 3099387 3303967 3356331 3645191 4074037 5187057 5738469 6296239 6413583 9911901 10935573 11364419 12222111 17563193 18888717 19019209 19629451 34093257 36343637 52689579 57057627 58888353 69258629 109030911 193195123 207775887 215923961 333700667 579585369 647771883 1001102001 3670707337 11012122011