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112321112013 = 321121973831367
BaseRepresentation
bin110100010011011011…
…1000010011111001101
3101201220211222200110200
41220212313002133031
53320013201041023
6123333303124113
711054264461605
oct1504667023715
9351824880420
10112321112013
11436a9380a00
1219928143639
13a790354676
145617589c05
152dc5c89743
hex1a26dc27cd

112321112013 has 72 divisors (see below), whose sum is σ = 179836360704. Its totient is φ = 67501600320.

The previous prime is 112321111979. The next prime is 112321112021. The reversal of 112321112013 is 310211123211.

It is not a de Polignac number, because 112321112013 - 221 = 112319014861 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112321112023) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 82165456 + ... + 82166822.

It is an arithmetic number, because the mean of its divisors is an integer number (2497727232).

Almost surely, 2112321112013 is an apocalyptic number.

It is an amenable number.

112321112013 is a deficient number, since it is larger than the sum of its proper divisors (67515248691).

112321112013 is a wasteful number, since it uses less digits than its factorization.

112321112013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1975 (or 1961 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 112321112013 its reverse (310211123211), we get a palindrome (422532235224).

The spelling of 112321112013 in words is "one hundred twelve billion, three hundred twenty-one million, one hundred twelve thousand, thirteen".

Divisors: 1 3 9 11 33 99 121 197 363 383 591 1089 1149 1367 1773 2167 3447 4101 4213 6501 12303 12639 15037 19503 23837 37917 45111 46343 71511 75451 135333 139029 165407 214533 226353 269299 417087 496221 523561 679059 807897 829961 1488663 1570683 2423691 2489883 2962289 4712049 5759171 7469649 8886867 9129571 17277513 26660601 27388713 32585179 51832539 63350881 82166139 97755537 103141517 190052643 293266611 309424551 570157929 928273653 1134556687 3403670061 10211010183 12480123557 37440370671 112321112013