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111012313032 = 23325351195683
BaseRepresentation
bin110011101100011011…
…0010111011111001000
3101121112122020210210100
41213120312113133020
53304323123004112
6122555351045400
711006663043255
oct1473066273710
9347478223710
10111012313032
1143097613955
1219621970860
13a6121586ba
14553181842c
152d4ae0c2dc
hex19d8d977c8

111012313032 has 96 divisors (see below), whose sum is σ = 306444902400. Its totient is φ = 36292434048.

The previous prime is 111012313019. The next prime is 111012313033. The reversal of 111012313032 is 230313210111.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 111012312996 and 111012313014.

It is not an unprimeable number, because it can be changed into a prime (111012313033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19531263 + ... + 19536945.

It is an arithmetic number, because the mean of its divisors is an integer number (3192134400).

Almost surely, 2111012313032 is an apocalyptic number.

111012313032 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 111012313032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153222451200).

111012313032 is an abundant number, since it is smaller than the sum of its proper divisors (195432589368).

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

111012313032 is a wasteful number, since it uses less digits than its factorization.

111012313032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10867 (or 10860 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 111012313032 its reverse (230313210111), we get a palindrome (341325523143).

The spelling of 111012313032 in words is "one hundred eleven billion, twelve million, three hundred thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1908 3816 5119 5683 10238 11366 15357 17049 20476 22732 30714 34098 40952 45464 46071 51147 61428 68196 92142 102294 122856 136392 184284 204588 271307 301199 368568 409176 542614 602398 813921 903597 1085228 1204796 1627842 1807194 2170456 2409592 2441763 2710791 3255684 3614388 4883526 5421582 6511368 7228776 9767052 10843164 19534104 21686328 29091277 58182554 87273831 116365108 174547662 232730216 261821493 349095324 523642986 698190648 1047285972 1541837681 2094571944 3083675362 4625513043 6167350724 9251026086 12334701448 13876539129 18502052172 27753078258 37004104344 55506156516 111012313032