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11020022212121 = 13171923139820907
BaseRepresentation
bin1010000001011100110010…
…0000100110011000011001
31110000111121021222102212022
42200113030200212120121
52421023001141241441
635234310041024225
72215112265161516
oct240271440463031
943014537872768
1011020022212121
11356962427a25a
12129b907185075
1361c2505a7c50
142a152c7a030d
151419c936184b
hexa05cc826619

11020022212121 has 64 divisors (see below), whose sum is σ = 13901584435200. Its totient is φ = 8613287248896.

The previous prime is 11020022212103. The next prime is 11020022212141. The reversal of 11020022212121 is 12121222002011.

It is not a de Polignac number, because 11020022212121 - 218 = 11020021949977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11020022212121.

It is not an unprimeable number, because it can be changed into a prime (11020022212141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13013750 + ... + 13834656.

It is an arithmetic number, because the mean of its divisors is an integer number (217212256800).

Almost surely, 211020022212121 is an apocalyptic number.

It is an amenable number.

11020022212121 is a deficient number, since it is larger than the sum of its proper divisors (2881562223079).

11020022212121 is a wasteful number, since it uses less digits than its factorization.

11020022212121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821118.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 11020022212121 its reverse (12121222002011), we get a palindrome (23141244214132).

The spelling of 11020022212121 in words is "eleven trillion, twenty billion, twenty-two million, two hundred twelve thousand, one hundred twenty-one".

Divisors: 1 13 17 19 23 139 221 247 299 323 391 437 1807 2363 2641 3197 4199 5083 5681 7429 30719 34333 41561 44897 54349 60743 96577 583661 706537 789659 820907 1032631 10671791 13424203 13955419 15597233 18880861 114106073 181420447 202764029 245451193 265152961 320974637 358736359 1483378949 1939803241 2168015387 2624439679 3446988493 4172670281 4663572667 6098518103 25217442133 28184200031 34117715827 36856261579 44615474543 49864353901 79280735339 479131400527 580001169059 648236600713 847694016317 11020022212121