Search a number
-
+
13111323000032 = 252961733172823
BaseRepresentation
bin1011111011001011011110…
…1111111111110011100000
31201102102121122100212111202
42332302313233333303200
53204303442142000112
643515131510500332
72522155543444655
oct276626757776340
951372548325452
1013111323000032
1141a5532027364
12157908b6646a8
137415142b407a
1433483cbd5c2c
1517b0c79b46c2
hexbecb7bffce0

13111323000032 has 96 divisors (see below), whose sum is σ = 27512572207680. Its totient is φ = 6140552785920.

The previous prime is 13111322999993. The next prime is 13111323000049. The reversal of 13111323000032 is 23000032311131.

It is a super-2 number, since 2×131113230000322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13111322999968 and 13111323000013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2545973 + ... + 5718795.

It is an arithmetic number, because the mean of its divisors is an integer number (286589293830).

Almost surely, 213111323000032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13111323000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13756286103840).

13111323000032 is an abundant number, since it is smaller than the sum of its proper divisors (14401249207648).

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

13111323000032 is a wasteful number, since it uses less digits than its factorization.

13111323000032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3172996 (or 3172988 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 13111323000032 its reverse (23000032311131), we get a palindrome (36111355311163).

The spelling of 13111323000032 in words is "thirteen trillion, one hundred eleven billion, three hundred twenty-three million, thirty-two", and thus it is an aban number.

Divisors: 1 2 4 8 16 29 32 58 61 73 116 122 146 232 244 292 464 488 584 928 976 1168 1769 1952 2117 2336 3538 4234 4453 7076 8468 8906 14152 16936 17812 28304 33872 35624 56608 67744 71248 129137 142496 258274 516548 1033096 2066192 3172823 4132384 6345646 12691292 25382584 50765168 92011867 101530336 184023734 193542203 231616079 368047468 387084406 463232158 736094936 774168812 926464316 1472189872 1548337624 1852928632 2944379744 3096675248 3705857264 5612723887 6193350496 6716866291 7411714528 11225447774 13433732582 14128580819 22450895548 26867465164 28257161638 44901791096 53734930328 56514323276 89803582192 107469860656 113028646552 179607164384 214939721312 226057293104 409728843751 452114586208 819457687502 1638915375004 3277830750008 6555661500016 13111323000032