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111323312113013 = 721113121727130517
BaseRepresentation
bin11001010011111101111010…
…011110010100010101110101
3112121011101221000202021111022
4121103331322132110111311
5104042410120400104023
61032433120142550525
732306562311060300
oct3123757236242565
9477141830667438
10111323312113013
113251aa51549990
121059b253b98445
134a169880070c0
141d6c111621b37
15cd0b9504a7c8
hex653f7a794575

111323312113013 has 48 divisors (see below), whose sum is σ = 152140568315904. Its totient is φ = 80071440704640.

The previous prime is 111323312113003. The next prime is 111323312113019. The reversal of 111323312113013 is 310311213323111.

It is not a de Polignac number, because 111323312113013 - 210 = 111323312111989 is a prime.

It is a super-2 number, since 2×1113233121130132 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111323312113019) 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, 852875831 + ... + 853006347.

It is an arithmetic number, because the mean of its divisors is an integer number (3169595173248).

Almost surely, 2111323312113013 is an apocalyptic number.

111323312113013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

111323312113013 is a deficient number, since it is larger than the sum of its proper divisors (40817256202891).

111323312113013 is a wasteful number, since it uses less digits than its factorization.

111323312113013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252282 (or 252275 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 26.

Adding to 111323312113013 its reverse (310311213323111), we get a palindrome (421634525436124).

The spelling of 111323312113013 in words is "one hundred eleven trillion, three hundred twenty-three billion, three hundred twelve million, one hundred thirteen thousand, thirteen".

Divisors: 1 7 11 13 49 77 91 143 539 637 1001 7007 121727 130517 852089 913619 1338997 1435687 1582451 1696721 5964623 6395333 9372979 10049809 11077157 11877047 17406961 18663931 65610853 70348663 77540099 83139329 121848727 130647517 852941089 914532619 15887442859 111212100013 174761871449 206536757167 778484700091 1223333100143 1445757300169 2271904328837 8563331701001 10120301101183 15903330301859 111323312113013