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12211333113133 = 711229497143391
BaseRepresentation
bin1011000110110010110000…
…1011000010010100101101
31121020101120210121120211201
42301230230023002110231
53100032302234110013
641545450424045501
72400145134564460
oct261545413022455
947211523546751
1012211333113133
113988885214700
12145277a903891
136a76a695915b
14303062cc32d7
151629a12d43dd
hexb1b2c2c252d

12211333113133 has 24 divisors (see below), whose sum is σ = 15868817072640. Its totient is φ = 9187209847200.

The previous prime is 12211333113107. The next prime is 12211333113167. The reversal of 12211333113133 is 33131133311221.

It is a happy number.

It is not a de Polignac number, because 12211333113133 - 225 = 12211299558701 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211333113233) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 248547133 + ... + 248596258.

It is an arithmetic number, because the mean of its divisors is an integer number (661200711360).

Almost surely, 212211333113133 is an apocalyptic number.

It is an amenable number.

12211333113133 is a deficient number, since it is larger than the sum of its proper divisors (3657483959507).

12211333113133 is a wasteful number, since it uses less digits than its factorization.

12211333113133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497143449 (or 497143438 counting only the distinct ones).

The product of its digits is 2916, while the sum is 28.

Adding to 12211333113133 its reverse (33131133311221), we get a palindrome (45342466424354).

The spelling of 12211333113133 in words is "twelve trillion, two hundred eleven billion, three hundred thirty-three million, one hundred thirteen thousand, one hundred thirty-three".

Divisors: 1 7 11 29 77 121 203 319 847 2233 3509 24563 497143391 3480003737 5468577301 14417158339 38280041107 60154350311 100920108373 158588741729 421080452177 1110121192103 1744476159019 12211333113133