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13771226106 = 2321131930253
BaseRepresentation
bin11001101001101010…
…00011101111111010
31022112201222202210100
430310311003233322
5211200413213411
610154301100230
7665156330151
oct146465035772
938481882710
1013771226106
115927553000
122803b57676
1313b60bba01
14948d64598
15558ee3456
hex334d43bfa

13771226106 has 96 divisors (see below), whose sum is σ = 34547647680. Its totient is φ = 3953331360.

The previous prime is 13771226089. The next prime is 13771226107. The reversal of 13771226106 is 60162217731.

It is a happy number.

13771226106 is a `hidden beast` number, since 1 + 37 + 7 + 1 + 2 + 2 + 610 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (13771226107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 440076 + ... + 470328.

It is an arithmetic number, because the mean of its divisors is an integer number (359871330).

Almost surely, 213771226106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13771226106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17273823840).

13771226106 is an abundant number, since it is smaller than the sum of its proper divisors (20776421574).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13771226106 is a wasteful number, since it uses less digits than its factorization.

13771226106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30313 (or 30288 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 13771226106 in words is "thirteen billion, seven hundred seventy-one million, two hundred twenty-six thousand, one hundred six".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 121 171 198 209 242 342 363 418 627 726 1089 1254 1331 1881 2178 2299 2662 3762 3993 4598 6897 7986 11979 13794 20691 23958 25289 30253 41382 50578 60506 75867 90759 151734 181518 227601 272277 332783 455202 544554 574807 665566 998349 1149614 1724421 1996698 2995047 3448842 3660613 5173263 5990094 6322877 7321226 10346526 10981839 12645754 18968631 21963678 32945517 37937262 40266743 56905893 65891034 69551647 80533486 113811786 120800229 139103294 208654941 241600458 362400687 417309882 625964823 724801374 765068117 1251929646 1530136234 2295204351 4590408702 6885613053 13771226106