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111310023132133 = 73831229194917333
BaseRepresentation
bin11001010011110001100010…
…011000111000001111100101
3112121010010121220012002210021
4121103301202120320033211
5104042200411410212013
61032423041345555141
732305612065435640
oct3123614230701745
9477103556162707
10111310023132133
1132515352236961
1210598765645ab1
134a1564aac4cc7
141d6b610750a57
15cd0668564a8d
hex653c626383e5

111310023132133 has 32 divisors (see below), whose sum is σ = 127720240128000. Its totient is φ = 95027786439936.

The previous prime is 111310023132101. The next prime is 111310023132277. The reversal of 111310023132133 is 331231320013111.

It is not a de Polignac number, because 111310023132133 - 25 = 111310023132101 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 111310023132098 and 111310023132107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111310023136133) 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 31 ways as a sum of consecutive naturals, for example, 6421846935 + ... + 6421864267.

It is an arithmetic number, because the mean of its divisors is an integer number (3991257504000).

Almost surely, 2111310023132133 is an apocalyptic number.

It is an amenable number.

111310023132133 is a deficient number, since it is larger than the sum of its proper divisors (16410216995867).

111310023132133 is a wasteful number, since it uses less digits than its factorization.

111310023132133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20901.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 111310023132133 its reverse (331231320013111), we get a palindrome (442541343145244).

The spelling of 111310023132133 in words is "one hundred eleven trillion, three hundred ten billion, twenty-three million, one hundred thirty-two thousand, one hundred thirty-three".

Divisors: 1 7 383 1229 1949 2681 8603 13643 17333 121331 470707 746467 2395321 3294949 5225269 6638539 16767247 21302257 33782017 46469773 149115799 236474119 917407943 6421855601 8158764431 12938512511 41518098893 57111351017 90569587577 290626692251 15901431876019 111310023132133