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111013031120 = 24531123736187
BaseRepresentation
bin110011101100011100…
…1000110110011010000
3101121112200121021211012
41213120321012303100
53304323313443440
6122555414310052
711010002123645
oct1473071066320
9347480537735
10111013031120
1143097a64412
1219622058328
13a61234a4c4
145531963dcc
152d4aeeee65
hex19d8e46cd0

111013031120 has 80 divisors (see below), whose sum is σ = 266654028288. Its totient is φ = 42936860160.

The previous prime is 111013031119. The next prime is 111013031159. The reversal of 111013031120 is 21130310111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 111013031095 and 111013031104.

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, 3049667 + ... + 3085853.

Almost surely, 2111013031120 is an apocalyptic number.

111013031120 is a gapful number since it is divisible by the number (10) 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 111013031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133327014144).

111013031120 is an abundant number, since it is smaller than the sum of its proper divisors (155640997168).

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

111013031120 is a wasteful number, since it uses less digits than its factorization.

111013031120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37468 (or 37462 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 111013031120 its reverse (21130310111), we get a palindrome (132143341231).

The spelling of 111013031120 in words is "one hundred eleven billion, thirteen million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1237 1240 2474 2480 4948 6185 9896 12370 19792 24740 36187 38347 49480 72374 76694 98960 144748 153388 180935 191735 289496 306776 361870 383470 578992 613552 723740 766940 1121797 1447480 1533880 2243594 2894960 3067760 4487188 5608985 8974376 11217970 17948752 22435940 44763319 44871880 89526638 89743760 179053276 223816595 358106552 447633190 716213104 895266380 1387662889 1790532760 2775325778 3581065520 5550651556 6938314445 11101303112 13876628890 22202606224 27753257780 55506515560 111013031120