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211001112210131 = 294147103331110749
BaseRepresentation
bin101111111110011110000110…
…010101110010101011010011
31000200002111202022002212100122
4233332132012111302223103
5210124020234211211011
62024432323415340455
762305220155240235
oct5776360625625323
91020074668085318
10211001112210131
1161260084067191
121b7b951968172b
13909741cc4a429
143a16718b96255
15195d9531e23db
hexbfe786572ad3

211001112210131 has 64 divisors (see below), whose sum is σ = 231274068480000. Its totient is φ = 192055106073600.

The previous prime is 211001112210121. The next prime is 211001112210179. The reversal of 211001112210131 is 131012211100112.

It is a cyclic number.

It is not a de Polignac number, because 211001112210131 - 222 = 211001108015827 is a prime.

It is a super-2 number, since 2×2110011122101312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211001112210101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1905163745 + ... + 1905274493.

It is an arithmetic number, because the mean of its divisors is an integer number (3613657320000).

Almost surely, 2211001112210131 is an apocalyptic number.

211001112210131 is a deficient number, since it is larger than the sum of its proper divisors (20272956269869).

211001112210131 is a wasteful number, since it uses less digits than its factorization.

211001112210131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111300.

The product of its (nonzero) digits is 24, while the sum is 17.

Adding to 211001112210131 its reverse (131012211100112), we get a palindrome (342013323310243).

The spelling of 211001112210131 in words is "two hundred eleven trillion, one billion, one hundred twelve million, two hundred ten thousand, one hundred thirty-one".

Divisors: 1 29 41 47 103 331 1189 1363 1927 2987 4223 4841 9599 13571 15557 34093 55883 110749 122467 140389 198481 393559 451153 637837 988697 1397813 1602371 3211721 4540709 5205203 5755949 11407147 18497273 36657919 40536577 46468759 65697211 131680561 150950887 213413323 330807263 467693027 536135909 1063079651 1502974679 1722922193 1905219119 3775765657 6188986367 13563097783 15547941361 21981572269 43586265691 49964743597 70639809913 109497204053 154806391937 177460985879 637465595801 2048554487477 4489385366173 5146368590491 7275900421039 211001112210131