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111311212011032 = 231121491178365497
BaseRepresentation
bin11001010011110010101001…
…010000000101111000011000
3112121010020200202021102001002
4121103302221100011320120
5104042210330233323112
61032423355335444132
732305653412645115
oct3123625120057030
9477106622242032
10111311212011032
1132515902337200
1210598a37826648
134a157aa1c4547
141d6b6c45c790c
15cd06d7b051c2
hex653ca9405e18

111311212011032 has 96 divisors (see below), whose sum is σ = 230969658276000. Its totient is φ = 50251402544640.

The previous prime is 111311212011019. The next prime is 111311212011061. The reversal of 111311212011032 is 230110212113111.

It is a junction number, because it is equal to n+sod(n) for n = 111311212010995 and 111311212011013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1699452908 + ... + 1699518404.

It is an arithmetic number, because the mean of its divisors is an integer number (2405933940375).

Almost surely, 2111311212011032 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 111311212011032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115484829138000).

111311212011032 is an abundant number, since it is smaller than the sum of its proper divisors (119658446264968).

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

111311212011032 is a wasteful number, since it uses less digits than its factorization.

111311212011032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77457 (or 77442 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 20.

Adding to 111311212011032 its reverse (230110212113111), we get a palindrome (341421424124143).

The spelling of 111311212011032 in words is "one hundred eleven trillion, three hundred eleven billion, two hundred twelve million, eleven thousand, thirty-two".

Divisors: 1 2 4 8 11 22 44 88 121 149 242 298 484 596 968 1192 1639 3278 6556 11783 13112 18029 23566 36058 47132 65497 72116 94264 129613 130994 144232 259226 261988 518452 523976 720467 1036904 1425743 1440934 1755667 2851486 2881868 3511334 5702972 5763736 7022668 7925137 9759053 11405944 14045336 15850274 19312337 19518106 31700548 38624674 39036212 63401096 77249348 78072424 107349583 154498696 212435707 214699166 424871414 429398332 771751151 849742828 858796664 1180845413 1543502302 1699485656 2361690826 3087004604 4723381652 6174009208 8489262661 9446763304 16978525322 33957050644 67914101288 93381889271 114990921499 186763778542 229981842998 373527557084 459963685996 747055114168 919927371992 1264900136489 2529800272978 5059600545956 10119201091912 13913901501379 27827803002758 55655606005516 111311212011032