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21311412421230 = 23251576532309707
BaseRepresentation
bin1001101100001111100110…
…01010101100001001101110
32210110100110222022000200200
410312013303022230021232
510243131233034434410
6113154154441334330
74326461444463351
oct466076312541156
983410428260620
1021311412421230
1168771347a7208
122482364a973a6
13bb78718a5a39
14539699392298
1526e55ab643c0
hex1361f32ac26e

21311412421230 has 96 divisors (see below), whose sum is σ = 55848018811104. Its totient is φ = 5638195600128.

The previous prime is 21311412421207. The next prime is 21311412421231. The reversal of 21311412421230 is 3212421411312.

21311412421230 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 1 + 4 + 1 + 2 + 421 + 230 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21311412421194 and 21311412421203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21311412421231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8072037 + ... + 10381743.

It is an arithmetic number, because the mean of its divisors is an integer number (581750195949).

Almost surely, 221311412421230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21311412421230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27924009405552).

21311412421230 is an abundant number, since it is smaller than the sum of its proper divisors (34536606389874).

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

21311412421230 is a wasteful number, since it uses less digits than its factorization.

21311412421230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2310530 (or 2310527 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 21311412421230 its reverse (3212421411312), we get a palindrome (24523833832542).

The spelling of 21311412421230 in words is "twenty-one trillion, three hundred eleven billion, four hundred twelve million, four hundred twenty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 157 314 471 653 785 942 1306 1413 1570 1959 2355 2826 3265 3918 4710 5877 6530 7065 9795 11754 14130 19590 29385 58770 102521 205042 307563 512605 615126 922689 1025210 1537815 1845378 2309707 3075630 4613445 4619414 6929121 9226890 11548535 13858242 20787363 23097070 34645605 41574726 69291210 103936815 207873630 362623999 725247998 1087871997 1508238671 1813119995 2175743994 3016477342 3263615991 3626239990 4524716013 5439359985 6527231982 7541193355 9049432026 10878719970 13574148039 15082386710 16318079955 22623580065 27148296078 32636159910 45247160130 67870740195 135741480390 236793471347 473586942694 710380414041 1183967356735 1420760828082 2131141242123 2367934713470 3551902070205 4262282484246 7103804140410 10655706210615 21311412421230