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11442032304131 = 11132322731530523
BaseRepresentation
bin1010011010000000111001…
…0001010110000000000011
31111111211212220102022222002
42212200032101112000003
52444431240232213011
640200221433534215
72260442140603142
oct246401621260003
944454786368862
1011442032304131
1137115a1a40540
12134966157436b
1364cc95b8c970
142b7b23bad759
1514c9781cdc3b
hexa680e456003

11442032304131 has 32 divisors (see below), whose sum is σ = 14033019474432. Its totient is φ = 9180193397760.

The previous prime is 11442032304121. The next prime is 11442032304137. The reversal of 11442032304131 is 13140323024411.

It is not a de Polignac number, because 11442032304131 - 218 = 11442032041987 is a prime.

It is a super-2 number, since 2×114420323041312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11442032304094 and 11442032304103.

It is not an unprimeable number, because it can be changed into a prime (11442032304137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6710636 + ... + 8241158.

It is an arithmetic number, because the mean of its divisors is an integer number (438531858576).

Almost surely, 211442032304131 is an apocalyptic number.

11442032304131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11442032304131 is a deficient number, since it is larger than the sum of its proper divisors (2590987170301).

11442032304131 is a wasteful number, since it uses less digits than its factorization.

11442032304131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532843.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 11442032304131 its reverse (13140323024411), we get a palindrome (24582355328542).

The spelling of 11442032304131 in words is "eleven trillion, four hundred forty-two billion, thirty-two million, three hundred four thousand, one hundred thirty-one".

Divisors: 1 11 13 23 143 253 299 2273 3289 25003 29549 52279 325039 575069 679627 1530523 7475897 16835753 19896799 35202029 218864789 387222319 457626377 3478878779 5033890147 38267666569 45225424127 80014211917 497479665397 880156331087 1040184754921 11442032304131