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111312023212013 = 13237319126700209
BaseRepresentation
bin11001010011110011011001…
…100110100100111111101101
3112121010022210021200200120212
4121103303121212210333231
5104042214010420241023
61032424012034352205
732306012463022421
oct3123633146447755
9477108707620525
10111312023212013
1132516189228538
121059902342b665
134a158a9299820
141d6b76022ab81
15cd0733e40e78
hex653cd99a4fed

111312023212013 has 32 divisors (see below), whose sum is σ = 127463812116480. Its totient is φ = 96428335196160.

The previous prime is 111312023212001. The next prime is 111312023212057. The reversal of 111312023212013 is 310212320213111.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 111312023212013 - 210 = 111312023210989 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 111312023212013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111312023212073) 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, 9181148 + ... + 17519061.

It is an arithmetic number, because the mean of its divisors is an integer number (3983244128640).

Almost surely, 2111312023212013 is an apocalyptic number.

111312023212013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

111312023212013 is a deficient number, since it is larger than the sum of its proper divisors (16151788904467).

111312023212013 is a wasteful number, since it uses less digits than its factorization.

111312023212013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26700509.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 111312023212013 its reverse (310212320213111), we get a palindrome (421524343425124).

The spelling of 111312023212013 in words is "one hundred eleven trillion, three hundred twelve billion, twenty-three million, two hundred twelve thousand, thirteen".

Divisors: 1 13 23 73 191 299 949 1679 2483 4393 13943 21827 57109 181259 320689 4168957 26700209 347102717 614104807 1949115257 5099739919 7983362491 25338498341 44829650911 66296618947 117294018137 372281014087 582785461843 1524822235781 4839653183131 8562463324001 111312023212013