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13111223131032 = 23313186722508383
BaseRepresentation
bin1011111011001011000111…
…0011000001101110011000
31201102102100200102222222220
42332302301303001232120
53204303241110143112
643515113542144040
72522153221536465
oct276626163015630
951372320388886
1013111223131032
1141a54907152a4
121579062122020
137414c96b80a0
1433482d83a66c
1517b0bdd3898c
hexbecb1cc1b98

13111223131032 has 64 divisors (see below), whose sum is σ = 35318355502080. Its totient is φ = 4032061517952.

The previous prime is 13111223130997. The next prime is 13111223131033. The reversal of 13111223131032 is 23013132211131.

It is a super-2 number, since 2×131112231310322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 13111223130993 and 13111223131011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13111223131033) 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 15 ways as a sum of consecutive naturals, for example, 10671688 + ... + 11836695.

It is an arithmetic number, because the mean of its divisors is an integer number (551849304720).

Almost surely, 213111223131032 is an apocalyptic number.

13111223131032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13111223131032 is an abundant number, since it is smaller than the sum of its proper divisors (22207132371048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13111223131032 is a wasteful number, since it uses less digits than its factorization.

13111223131032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22510272 (or 22510268 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 13111223131032 its reverse (23013132211131), we get a palindrome (36124355342163).

The spelling of 13111223131032 in words is "thirteen trillion, one hundred eleven billion, two hundred twenty-three million, one hundred thirty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 1867 3734 5601 7468 11202 14936 22404 24271 44808 48542 72813 97084 145626 194168 291252 582504 22508383 45016766 67525149 90033532 135050298 180067064 270100596 292608979 540201192 585217958 877826937 1170435916 1755653874 2340871832 3511307748 7022615496 42023151061 84046302122 126069453183 168092604244 252138906366 336185208488 504277812732 546300963793 1008555625464 1092601927586 1638902891379 2185203855172 3277805782758 4370407710344 6555611565516 13111223131032