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11021112111021 = 31719471272816781
BaseRepresentation
bin1010000001100000110101…
…1110001110111110101101
31110000121102020211001002020
42200120031132032332231
52421032214200023041
635235010133220353
72215151301154365
oct240301536167655
943017366731066
1011021112111021
11356a033515451
12129bb701916b9
1361c39533003c
142a15d342d9a5
15141a3ed9e866
hexa060d78efad

11021112111021 has 128 divisors (see below), whose sum is σ = 16920788336640. Its totient is φ = 6337800806400.

The previous prime is 11021112110999. The next prime is 11021112111043. The reversal of 11021112111021 is 12011121112011.

It is an interprime number because it is at equal distance from previous prime (11021112110999) and next prime (11021112111043).

It is not a de Polignac number, because 11021112111021 - 211 = 11021112108973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11021112111091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1625289651 + ... + 1625296431.

It is an arithmetic number, because the mean of its divisors is an integer number (132193658880).

Almost surely, 211021112111021 is an apocalyptic number.

It is an amenable number.

11021112111021 is a deficient number, since it is larger than the sum of its proper divisors (5899676225619).

11021112111021 is a wasteful number, since it uses less digits than its factorization.

11021112111021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7275.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 11021112111021 its reverse (12011121112011), we get a palindrome (23032233223032).

The spelling of 11021112111021 in words is "eleven trillion, twenty-one billion, one hundred twelve million, one hundred eleven thousand, twenty-one".

Divisors: 1 3 17 19 47 51 57 127 141 281 323 381 799 843 893 969 2159 2397 2413 2679 4777 5339 5969 6477 6781 7239 13207 14331 15181 16017 17907 20343 35687 39621 41021 45543 90763 101473 107061 113411 115277 123063 128839 224519 250933 272289 304419 318707 340233 345831 386517 606679 673557 678053 752799 861187 956121 1677289 1820037 1905461 1927987 2034159 2190263 2583561 4265861 5031867 5418019 5716383 5783961 6055433 6570789 11526901 12797583 14640179 16254057 16362553 18166299 28513913 31868491 32392837 34580703 36203759 40475789 43920537 49087659 85541739 89556667 95605473 97178511 102942361 108611277 121427367 241993547 268670001 278163401 308827083 541764347 615463903 688088413 725980641 769039991 834490203 1522463339 1625293041 1701576673 1846391709 2064265239 2307119973 4113890299 4567390017 4597877393 5104730019 11373696709 12341670897 13073679847 13793632179 28926803441 34121090127 39221039541 78163915681 86780410323 193352844053 216100237471 234491747043 580058532159 648300712413 3673704037007 11021112111021