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11210011001211 = 3113761672246393
BaseRepresentation
bin1010001100100000100010…
…1110010100000101111011
31110200122222221101220202110
42203020020232110011323
52432131100304014321
635501450304103403
72234616344221641
oct243101056240573
943618887356673
1011210011001211
113632158a69530
1213106aa004b63
1363413a7b2b89
142aa7d3041191
151468e8961176
hexa3208b9417b

11210011001211 has 64 divisors (see below), whose sum is σ = 17274733917696. Its totient is φ = 6404912870400.

The previous prime is 11210011001149. The next prime is 11210011001237.

11210011001211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11210011001211 - 243 = 2413917979003 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11210011001291) by changing a digit.

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, 3867031 + ... + 6113423.

It is an arithmetic number, because the mean of its divisors is an integer number (269917717464).

Almost surely, 211210011001211 is an apocalyptic number.

11210011001211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11210011001211 is a deficient number, since it is larger than the sum of its proper divisors (6064722916485).

11210011001211 is a wasteful number, since it uses less digits than its factorization.

11210011001211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2246572.

The product of its (nonzero) digits is 4, while the sum is 12.

It can be divided in two parts, 1121001 and 1001211, that multiplied together give a palindrome (1122358532211).

The spelling of 11210011001211 in words is "eleven trillion, two hundred ten billion, eleven million, one thousand, two hundred eleven".

Divisors: 1 3 11 33 37 61 67 111 183 201 407 671 737 1221 2013 2211 2257 2479 4087 6771 7437 12261 24827 27269 44957 74481 81807 134871 151219 453657 1663409 2246393 4990227 6739179 24710323 74130969 83116541 137029973 150508331 249349623 411089919 451524993 914281951 1507329703 1655591641 2742845853 4521989109 4966774923 5070109001 5568808247 9181008191 15210327003 16706424741 27543024573 55771199011 61256890717 100991090101 167313597033 183770672151 302973270303 339697303067 1019091909201 3736670333737 11210011001211