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113321010013112 = 231159130730495477
BaseRepresentation
bin11001110001000010011010…
…100011000010001110111000
3112212020101100000210100002002
4121301002122203002032320
5104323122412030404422
61041002541530000132
732604113161046666
oct3161023243021670
9485211300710062
10113321010013112
1133120196974a70
1210862454b76048
134b3018263c585
141ddaaa2457c36
15d17b15d8e692
hex67109a8c23b8

113321010013112 has 128 divisors (see below), whose sum is σ = 236022478560000. Its totient is φ = 50571934172160.

The previous prime is 113321010013103. The next prime is 113321010013129. The reversal of 113321010013112 is 211310010123311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20690340518 + ... + 20690345994.

It is an arithmetic number, because the mean of its divisors is an integer number (1843925613750).

Almost surely, 2113321010013112 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 113321010013112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118011239280000).

113321010013112 is an abundant number, since it is smaller than the sum of its proper divisors (122701468546888).

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

113321010013112 is a wasteful number, since it uses less digits than its factorization.

113321010013112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9909 (or 9905 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 113321010013112 its reverse (211310010123311), we get a palindrome (324631020136423).

The spelling of 113321010013112 in words is "one hundred thirteen trillion, three hundred twenty-one billion, ten million, thirteen thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 59 88 118 236 472 649 1298 1307 2596 2614 3049 5192 5228 5477 6098 10456 10954 12196 14377 21908 24392 28754 33539 43816 57508 60247 67078 77113 115016 120494 134156 154226 179891 240988 268312 308452 323143 359782 481976 616904 646286 719564 848243 1292572 1439128 1696486 1978801 2585144 3392972 3554573 3957602 3985043 6785944 7109146 7158439 7915204 7970086 14218292 14316878 15830408 15940172 16699373 28436584 28633756 31880344 33398746 43835473 57267512 66797492 78742829 87670946 133594984 157485658 175341892 183693103 235117537 314971316 350683784 367386206 422347901 470235074 629942632 734772412 844695802 940470148 985263007 1469544824 1689391604 1880940296 1970526014 2586292907 3378783208 3941052028 4645826911 5172585814 7882104056 9291653822 10345171628 10837893077 18583307644 20690343256 21675786154 21826080511 37166615288 43351572308 43652161022 86703144616 87304322044 174608644088 240086885621 480173771242 960347542484 1287738750149 1920695084968 2575477500298 5150955000596 10301910001192 14165126251639 28330252503278 56660505006556 113321010013112