Search a number
-
+
112003112102331 = 3409157158104443
BaseRepresentation
bin11001011101110111000001…
…101101011110100110111011
3112200120101121110100210220110
4121131313001231132212323
5104140024333144233311
61034113304103555403
732406646346456352
oct3135670155364673
9480511543323813
10112003112102331
113276228695957a
121068ab5375bb63
134a65b0450a2a8
141d92d9dc58999
15ce36d0a298a6
hex65ddc1b5e9bb

112003112102331 has 16 divisors (see below), whose sum is σ = 149797904987520. Its totient is φ = 74438762735040.

The previous prime is 112003112102291. The next prime is 112003112102333. The reversal of 112003112102331 is 133201211300211.

It is not a de Polignac number, because 112003112102331 - 26 = 112003112102267 is a prime.

It is a super-2 number, since 2×1120031121023312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112003112102298 and 112003112102307.

It is not an unprimeable number, because it can be changed into a prime (112003112102333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27124605 + ... + 30979838.

It is an arithmetic number, because the mean of its divisors is an integer number (9362369061720).

Almost surely, 2112003112102331 is an apocalyptic number.

112003112102331 is a deficient number, since it is larger than the sum of its proper divisors (37794792885189).

112003112102331 is a wasteful number, since it uses less digits than its factorization.

112003112102331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58106426.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 112003112102331 its reverse (133201211300211), we get a palindrome (245204323402542).

The spelling of 112003112102331 in words is "one hundred twelve trillion, three billion, one hundred twelve million, one hundred two thousand, three hundred thirty-one".

Divisors: 1 3 409 1227 1571 4713 642539 1927617 58104443 174313329 23764717187 71294151561 91282079953 273846239859 37334370700777 112003112102331