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11132332400514 = 23131922631503241
BaseRepresentation
bin1010000111111111001010…
…1101111101111110000010
31110102020111101102010221110
42201333302231331332002
52424343004043304024
635402042314104150
72226166401056223
oct241776255757602
943366441363843
1011132332400514
11360221746a076
1212b962b71b056
13629a0b5a6520
142a6b4470524a
1514489e18e629
hexa1ff2b7df82

11132332400514 has 96 divisors (see below), whose sum is σ = 25401951679104. Its totient is φ = 3232711607040.

The previous prime is 11132332400513. The next prime is 11132332400569. The reversal of 11132332400514 is 41500423323111.

It is not an unprimeable number, because it can be changed into a prime (11132332400513) 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, 6653934 + ... + 8157174.

It is an arithmetic number, because the mean of its divisors is an integer number (264603663324).

Almost surely, 211132332400514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11132332400514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12700975839552).

11132332400514 is an abundant number, since it is smaller than the sum of its proper divisors (14269619278590).

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

11132332400514 is a wasteful number, since it uses less digits than its factorization.

11132332400514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503560 (or 1503541 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 11132332400514 its reverse (41500423323111), we get a palindrome (52632755723625).

The spelling of 11132332400514 in words is "eleven trillion, one hundred thirty-two billion, three hundred thirty-two million, four hundred thousand, five hundred fourteen".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 247 263 361 494 526 722 741 789 1083 1482 1578 2166 3419 4693 4997 6838 9386 9994 10257 14079 14991 20514 28158 29982 64961 94943 129922 189886 194883 284829 389766 569658 1234259 1503241 2468518 3006482 3702777 4509723 7405554 9019446 19542133 28561579 39084266 57123158 58626399 85684737 117252798 171369474 371300527 395352383 542670001 742601054 790704766 1085340002 1113901581 1186057149 1628010003 2227803162 2372114298 3256020006 5139580979 7054710013 7511695277 10279161958 14109420026 15023390554 15418742937 21164130039 22535085831 30837485874 42328260078 45070171662 97652038601 142722210263 195304077202 285444420526 292956115803 428166630789 585912231606 856333261578 1855388733419 3710777466838 5566166200257 11132332400514