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111310444032 = 293229316453
BaseRepresentation
bin110011110101010011…
…1101001011000000000
3101122022102020102122020
41213222213221120000
53310430433202112
6123045121041440
711020243106664
oct1475247513000
9348272212566
10111310444032
114322a931107
12196a5786280
13a65bb50888
14555d2628a4
152d6719c48c
hex19ea9e9600

111310444032 has 80 divisors (see below), whose sum is σ = 297833846640. Its totient is φ = 36941340672.

The previous prime is 111310443989. The next prime is 111310444051. The reversal of 111310444032 is 230444013111.

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 = 111310443993 and 111310444011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 193518 + ... + 509970.

It is an arithmetic number, because the mean of its divisors is an integer number (3722923083).

Almost surely, 2111310444032 is an apocalyptic number.

111310444032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111310444032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148916923320).

111310444032 is an abundant number, since it is smaller than the sum of its proper divisors (186523402608).

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

111310444032 is an equidigital number, since it uses as much as digits as its factorization.

111310444032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316703 (or 316687 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 111310444032 its reverse (230444013111), we get a palindrome (341754457143).

The spelling of 111310444032 in words is "one hundred eleven billion, three hundred ten million, four hundred forty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 229 256 384 458 512 687 768 916 1374 1536 1832 2748 3664 5496 7328 10992 14656 21984 29312 43968 58624 87936 117248 175872 316453 351744 632906 949359 1265812 1898718 2531624 3797436 5063248 7594872 10126496 15189744 20252992 30379488 40505984 60758976 72467737 81011968 121517952 144935474 162023936 217403211 243035904 289870948 434806422 486071808 579741896 869612844 1159483792 1739225688 2318967584 3478451376 4637935168 6956902752 9275870336 13913805504 18551740672 27827611008 37103481344 55655222016 111310444032