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21142311135215 = 5172791731070561
BaseRepresentation
bin1001100111010100100111…
…11100011110011111101111
32202212012000000101122101112
410303222103330132133233
510232343423122311330
6112544351010102235
74311324115326524
oct463522374363757
982765000348345
1021142311135215
116811449503176
12245563127a97b
13ba4932bb4b9a
14531416c1d14b
15269e6018e795
hex133a93f1e7ef

21142311135215 has 48 divisors (see below), whose sum is σ = 27449894839680. Its totient is φ = 15626544660480.

The previous prime is 21142311135193. The next prime is 21142311135221. The reversal of 21142311135215 is 51253111324112.

It is a de Polignac number, because none of the positive numbers 2k-21142311135215 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19213535 + ... + 20284095.

It is an arithmetic number, because the mean of its divisors is an integer number (571872809160).

Almost surely, 221142311135215 is an apocalyptic number.

21142311135215 is a deficient number, since it is larger than the sum of its proper divisors (6307583704465).

21142311135215 is a wasteful number, since it uses less digits than its factorization.

21142311135215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070852 (or 1070835 counting only the distinct ones).

The product of its digits is 7200, while the sum is 32.

Adding to 21142311135215 its reverse (51253111324112), we get a palindrome (72395422459327).

The spelling of 21142311135215 in words is "twenty-one trillion, one hundred forty-two billion, three hundred eleven million, one hundred thirty-five thousand, two hundred fifteen".

Divisors: 1 5 17 79 85 173 289 395 865 1343 1445 2941 6715 13667 14705 22831 49997 68335 114155 232339 249985 1070561 1161695 3949763 5352805 18199537 19748815 84574319 90997685 185207053 309392129 422871595 926035265 1437763423 1546960645 3148519901 7188817115 14631357187 15742599505 24441978191 53524838317 73156785935 122209890955 248733072179 267624191585 1243665360895 4228462227043 21142311135215