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11101212122 = 271113291071787
BaseRepresentation
bin10100101011010111…
…10000110111011010
31001122122220000011112
422111223300313122
5140213402241442
65033321300322
7542045513630
oct122553606732
931578800145
1011101212122
114787387a80
1221999346a2
13107bba3a90
147744d9350
1544e8d3082
hex295af0dda

11101212122 has 128 divisors (see below), whose sum is σ = 23357859840. Its totient is φ = 3816610560.

The previous prime is 11101212119. The next prime is 11101212181. The reversal of 11101212122 is 22121210111.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 11101212097 and 11101212106.

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 63 ways as a sum of consecutive naturals, for example, 6211313 + ... + 6213099.

It is an arithmetic number, because the mean of its divisors is an integer number (182483280).

Almost surely, 211101212122 is an apocalyptic number.

11101212122 is an abundant number, since it is smaller than the sum of its proper divisors (12256647718).

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

11101212122 is a wasteful number, since it uses less digits than its factorization.

11101212122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1956.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11101212122 its reverse (22121210111), we get a palindrome (33222422233).

The spelling of 11101212122 in words is "eleven billion, one hundred one million, two hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 7 11 13 14 22 26 29 58 77 91 107 143 154 182 203 214 286 319 377 406 638 749 754 1001 1177 1391 1498 1787 2002 2233 2354 2639 2782 3103 3574 4147 4466 5278 6206 8239 8294 9737 12509 15301 16478 19474 19657 21721 23231 25018 29029 30602 34133 39314 40339 43442 46462 51823 58058 68266 80678 103646 107107 137599 162617 191209 214214 238931 255541 275198 282373 325234 362761 382418 443729 477862 511082 564746 570053 673699 725522 887458 1140106 1338463 1347398 1788787 2103299 2485717 2676926 3106103 3577574 3990371 4206598 4715893 4971434 5545061 6212206 7410689 7980742 9431786 11090122 14723093 14821378 17400019 27342887 29446186 34800038 38815427 51874823 54685774 60995671 72085793 77630854 103749646 121991342 144171586 191400209 382800418 426969697 504600551 792943723 853939394 1009201102 1585887446 5550606061 11101212122