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11221331013032 = 2372191389385279
BaseRepresentation
bin1010001101001010101101…
…1100101110110110101000
31110201202012212000002200112
42203102223130232312220
52432322241214404112
635511001443153452
72235500020562600
oct243225334566650
943652185002615
1011221331013032
113636a378a99a8
121312929075888
13635222ac3c1a
142ab188613c00
15146d5c663a22
hexa34ab72eda8

11221331013032 has 96 divisors (see below), whose sum is σ = 24666550272000. Its totient is φ = 4771652618880.

The previous prime is 11221331013031. The next prime is 11221331013043. The reversal of 11221331013032 is 23031013312211.

It is a junction number, because it is equal to n+sod(n) for n = 11221331012989 and 11221331013007.

It is not an unprimeable number, because it can be changed into a prime (11221331013031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28932569 + ... + 29317847.

It is an arithmetic number, because the mean of its divisors is an integer number (256943232000).

Almost surely, 211221331013032 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 11221331013032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12333275136000).

11221331013032 is an abundant number, since it is smaller than the sum of its proper divisors (13445219258968).

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

11221331013032 is a wasteful number, since it uses less digits than its factorization.

11221331013032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385879 (or 385868 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 11221331013032 its reverse (23031013312211), we get a palindrome (34252344325243).

The spelling of 11221331013032 in words is "eleven trillion, two hundred twenty-one billion, three hundred thirty-one million, thirteen thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 191 196 382 389 392 764 778 1337 1528 1556 2674 2723 3112 5348 5446 9359 10696 10892 18718 19061 21784 37436 38122 74299 74872 76244 148598 152488 297196 385279 520093 594392 770558 1040186 1541116 2080372 2696953 3082232 3640651 4160744 5393906 7281302 10787812 14562604 18878671 21575624 29125208 37757342 73588289 75514684 147176578 149873531 151029368 294353156 299747062 515118023 588706312 599494124 1030236046 1049114717 1198988248 2060472092 2098229434 3605826161 4120944184 4196458868 7211652322 7343803019 8392917736 14423304644 14687606038 28625844421 28846609288 29375212076 57251688842 58750424152 114503377684 200380910947 229006755368 400761821894 801523643788 1402666376629 1603047287576 2805332753258 5610665506516 11221331013032