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11211031323232 = 2513293851241313
BaseRepresentation
bin1010001100100100010110…
…0010100010001001100000
31110200202122001022122102221
42203021011202202021200
52432140143004320412
635502135433120424
72234653543632466
oct243110542421140
943622561278387
1011211031323232
113632631a02574
121310933859114
13634270cb6c10
142aa88c75c836
15146958308b07
hexa32458a2260

11211031323232 has 96 divisors (see below), whose sum is σ = 24595668830880. Its totient is φ = 4994579251200.

The previous prime is 11211031323229. The next prime is 11211031323241. The reversal of 11211031323232 is 23232313011211.

It is a junction number, because it is equal to n+sod(n) for n = 11211031323197 and 11211031323206.

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, 46337808 + ... + 46579120.

It is an arithmetic number, because the mean of its divisors is an integer number (256204883655).

Almost surely, 211211031323232 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 11211031323232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12297834415440).

11211031323232 is an abundant number, since it is smaller than the sum of its proper divisors (13384637507648).

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

11211031323232 is a wasteful number, since it uses less digits than its factorization.

11211031323232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245216 (or 245208 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 11211031323232 its reverse (23232313011211), we get a palindrome (34443344334443).

The spelling of 11211031323232 in words is "eleven trillion, two hundred eleven billion, thirty-one million, three hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 104 116 208 232 377 416 464 754 928 1508 3016 3851 6032 7702 12064 15404 30808 50063 61616 100126 111679 123232 200252 223358 241313 400504 446716 482626 801008 893432 965252 1451827 1602016 1786864 1930504 2903654 3137069 3573728 3861008 5807308 6274138 6998077 7722016 11614616 12548276 13996154 23229232 25096552 27992308 46458464 50193104 55984616 90975001 100386208 111969232 181950002 223938464 363900004 727800008 929296363 1455600016 1858592726 2911200032 3717185452 7434370904 12080852719 14868741808 24161705438 26949594527 29737483616 48323410876 53899189054 96646821752 107798378108 193293643504 215596756216 350344728851 386587287008 431193512432 700689457702 862387024864 1401378915404 2802757830808 5605515661616 11211031323232