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12211441631349 = 331418961758321
BaseRepresentation
bin1011000110110011001010…
…1001000000000001110101
31121020101212100210212211220
42301230302221000001311
53100033013024200344
641545505302020553
72400150623145222
oct261546251000165
947211770725756
1012211441631349
1139889304a3a84
1214527ab117759
136a76c3292c0c
14303073490949
151629aaabcc19
hexb1b32a40075

12211441631349 has 64 divisors (see below), whose sum is σ = 17439043184640. Its totient is φ = 7587385344000.

The previous prime is 12211441631309. The next prime is 12211441631413. The reversal of 12211441631349 is 94313614411221.

It is not a de Polignac number, because 12211441631349 - 28 = 12211441631093 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12211441631349.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211441631309) 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, 209354109 + ... + 209412429.

It is an arithmetic number, because the mean of its divisors is an integer number (272485049760).

Almost surely, 212211441631349 is an apocalyptic number.

It is an amenable number.

12211441631349 is a deficient number, since it is larger than the sum of its proper divisors (5227601553291).

12211441631349 is a wasteful number, since it uses less digits than its factorization.

12211441631349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59102.

The product of its digits is 124416, while the sum is 42.

The spelling of 12211441631349 in words is "twelve trillion, two hundred eleven billion, four hundred forty-one million, six hundred thirty-one thousand, three hundred forty-nine".

Divisors: 1 3 31 41 89 93 123 267 617 1271 1851 2759 3649 3813 8277 10947 19127 25297 54913 57381 58321 75891 113119 164739 174963 339357 784207 1702303 1807951 2251433 2352621 2391161 5106909 5190569 5423853 6754299 7173483 15571707 35984057 69794423 74125991 107952171 160907639 209383269 212813329 222377973 482722917 638439987 1115505767 1475346337 3202581073 3346517301 4426039011 6597213199 9607743219 19791639597 45735736447 99280013263 131305823993 137207209341 297840039789 393917471979 4070480543783 12211441631349