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111020312032 = 2572636612851
BaseRepresentation
bin110011101100101010…
…0111000010111100000
3101121120012022012100121
41213121110320113200
53304332144441112
6123000234330024
711010121040050
oct1473124702740
9347505265317
10111020312032
11430a10876a3
1219624589914
13a6139c9536
1455328db560
152d4b98c407
hex19d95385e0

111020312032 has 96 divisors (see below), whose sum is σ = 251212921344. Its totient is φ = 47310912000.

The previous prime is 111020311991. The next prime is 111020312041. The reversal of 111020312032 is 230213020111.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 111020311997 and 111020312015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38939407 + ... + 38942257.

It is an arithmetic number, because the mean of its divisors is an integer number (2616801264).

Almost surely, 2111020312032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111020312032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125606460672).

111020312032 is an abundant number, since it is smaller than the sum of its proper divisors (140192609312).

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

111020312032 is a wasteful number, since it uses less digits than its factorization.

111020312032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3792 (or 3784 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 111020312032 its reverse (230213020111), we get a palindrome (341233332143).

The spelling of 111020312032 in words is "one hundred eleven billion, twenty million, three hundred twelve thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 263 526 661 1052 1322 1841 2104 2644 2851 3682 4208 4627 5288 5702 7364 8416 9254 10576 11404 14728 18508 19957 21152 22808 29456 37016 39914 45616 58912 74032 79828 91232 148064 159656 173843 319312 347686 638624 695372 749813 1216901 1390744 1499626 1884511 2433802 2781488 2999252 3769022 4867604 5248691 5562976 5998504 7538044 9735208 10497382 11997008 13191577 15076088 19470416 20994764 23994016 26383154 30152176 38940832 41989528 52766308 60304352 83979056 105532616 167958112 211065232 422130464 495626393 991252786 1982505572 3469384751 3965011144 6938769502 7930022288 13877539004 15860044576 27755078008 55510156016 111020312032