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11234355343211 = 71113192920368661
BaseRepresentation
bin1010001101111011001111…
…0000100110111101101011
31110202222211112120121212202
42203132303300212331223
52433030424431440321
635520554103530415
72236440540552650
oct243366360467553
943688745517782
1011234355343211
113641510791a40
121315362a59a0b
1363651a233c80
142aba622b3c27
15147370cbe70b
hexa37b3c26f6b

11234355343211 has 64 divisors (see below), whose sum is σ = 16425289036800. Its totient is φ = 7391379340800.

The previous prime is 11234355343163. The next prime is 11234355343231.

It is a happy number.

11234355343211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11234355343211 - 222 = 11234351148907 is a prime.

It is a super-3 number, since 3×112343553432113 (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (11234355343231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9632780 + ... + 10735881.

It is an arithmetic number, because the mean of its divisors is an integer number (256645141200).

Almost surely, 211234355343211 is an apocalyptic number.

11234355343211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11234355343211 is a deficient number, since it is larger than the sum of its proper divisors (5190933693589).

11234355343211 is a wasteful number, since it uses less digits than its factorization.

11234355343211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20368740.

The product of its digits is 129600, while the sum is 38.

It can be divided in two parts, 1123435 and 5343211, that added together give a palindrome (6466646).

The spelling of 11234355343211 in words is "eleven trillion, two hundred thirty-four billion, three hundred fifty-five million, three hundred forty-three thousand, two hundred eleven".

Divisors: 1 7 11 13 19 29 77 91 133 143 203 209 247 319 377 551 1001 1463 1729 2233 2639 2717 3857 4147 6061 7163 19019 29029 42427 50141 78793 551551 20368661 142580627 224055271 264792593 387004559 590691169 1568386897 1853548151 2709031913 2912718523 4134838183 4257050149 5031059267 6497602859 7678985197 11223132211 20389029661 29799351043 35217414869 45483220013 53752896379 55341651937 78561925477 84468837167 123454454321 145900718743 387391563559 591281860169 864181180247 1021305031201 1604907906173 11234355343211