Search a number
-
+
11121120032352 = 253112957396697
BaseRepresentation
bin1010000111010101011001…
…1010001011011001100000
31110101011112222100211100120
42201311112122023121200
52424202023212013402
635352545542120240
72225321502364221
oct241652632133140
943334488324316
1011121120032352
1135a8493370a00
1212b7420720080
13628942684155
142a639d553248
15144444b513bc
hexa1d5668b660

11121120032352 has 72 divisors (see below), whose sum is σ = 32088107730168. Its totient is φ = 3370036369920.

The previous prime is 11121120032329. The next prime is 11121120032357. The reversal of 11121120032352 is 25323002112111.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11121120032357) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 478686733 + ... + 478709964.

It is an arithmetic number, because the mean of its divisors is an integer number (445668162919).

Almost surely, 211121120032352 is an apocalyptic number.

11121120032352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11121120032352 is an abundant number, since it is smaller than the sum of its proper divisors (20966987697816).

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

11121120032352 is a wasteful number, since it uses less digits than its factorization.

11121120032352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957396732 (or 957396713 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 11121120032352 its reverse (25323002112111), we get a palindrome (36444122144463).

The spelling of 11121120032352 in words is "eleven trillion, one hundred twenty-one billion, one hundred twenty million, thirty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 242 264 352 363 484 528 726 968 1056 1452 1936 2904 3872 5808 11616 957396697 1914793394 2872190091 3829586788 5744380182 7659173576 10531363667 11488760364 15318347152 21062727334 22977520728 30636694304 31594091001 42125454668 45955041456 63188182002 84250909336 91910082912 115845000337 126376364004 168501818672 231690000674 252752728008 337003637344 347535001011 463380001348 505505456016 695070002022 926760002696 1011010912032 1390140004044 1853520005392 2780280008088 3707040010784 5560560016176 11121120032352