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2112321130101 = 3271337457152531
BaseRepresentation
bin11110101111010000001…
…001101000111001110101
321110221021021212110020200
4132233100021220321311
5234102013202130401
64254215324351113
7305416200233460
oct36572011507165
97427237773220
102112321130101
11744915234336
122a14700a5499
131242638c4030
14743460422d7
1539e2dc6c686
hex1ebd0268e75

2112321130101 has 96 divisors (see below), whose sum is σ = 3865195047168. Its totient is φ = 1081698831360.

The previous prime is 2112321130097. The next prime is 2112321130109. The reversal of 2112321130101 is 1010311232112.

2112321130101 is a `hidden beast` number, since 2 + 112 + 321 + 130 + 101 = 666.

It is not a de Polignac number, because 2112321130101 - 22 = 2112321130097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112321130109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13772206 + ... + 13924736.

It is an arithmetic number, because the mean of its divisors is an integer number (40262448408).

Almost surely, 22112321130101 is an apocalyptic number.

2112321130101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2112321130101 is a deficient number, since it is larger than the sum of its proper divisors (1752873917067).

2112321130101 is a wasteful number, since it uses less digits than its factorization.

2112321130101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153051 (or 153048 counting only the distinct ones).

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

Adding to 2112321130101 its reverse (1010311232112), we get a palindrome (3122632362213).

It can be divided in two parts, 2112321 and 130101, that added together give a palindrome (2242422).

The spelling of 2112321130101 in words is "two trillion, one hundred twelve billion, three hundred twenty-one million, one hundred thirty thousand, one hundred one".

Divisors: 1 3 7 9 13 21 37 39 63 91 111 117 259 273 333 457 481 777 819 1371 1443 2331 3199 3367 4113 4329 5941 9597 10101 16909 17823 28791 30303 41587 50727 53469 118363 124761 152181 152531 219817 355089 374283 457593 659451 1065267 1067717 1372779 1538719 1978353 1982903 3203151 4616157 5643647 5948709 9609453 13848471 13880321 16930941 17846127 39505529 41640963 50792823 69706667 73367411 118516587 124922889 209120001 220102233 355549761 487946669 513571877 627360003 660306699 906186671 1463840007 1540715631 2579146679 2718560013 4391520021 4622146893 6343306697 7737440037 8155680039 18054026753 19029920091 23212320111 33528906827 54162080259 57089760273 100586720481 162486240777 234702347789 301760161443 704107043367 2112321130101