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21302123131131 = 329823877933889
BaseRepresentation
bin1001101011111110010010…
…11110110111000011111011
32210102110111120212012021020
410311333021132313003323
510243003222010144011
6113150021003513523
74326012320020053
oct465771136670373
983373446765236
1021302123131131
1168731a8187057
1224805b1b288a3
13bb6a2120768b
14539057794563
1526e1b5392006
hex135fc97b70fb

21302123131131 has 32 divisors (see below), whose sum is σ = 29422159296000. Its totient is φ = 13693086747648.

The previous prime is 21302123131123. The next prime is 21302123131139. The reversal of 21302123131131 is 13113132120312.

It is an interprime number because it is at equal distance from previous prime (21302123131123) and next prime (21302123131139).

It is not a de Polignac number, because 21302123131131 - 23 = 21302123131123 is a prime.

It is a super-2 number, since 2×213021231311312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21302123131139) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 628568235 + ... + 628602123.

It is an arithmetic number, because the mean of its divisors is an integer number (919442478000).

Almost surely, 221302123131131 is an apocalyptic number.

21302123131131 is a deficient number, since it is larger than the sum of its proper divisors (8120036164869).

21302123131131 is a wasteful number, since it uses less digits than its factorization.

21302123131131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43523.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 21302123131131 its reverse (13113132120312), we get a palindrome (34415255251443).

The spelling of 21302123131131 in words is "twenty-one trillion, three hundred two billion, one hundred twenty-three million, one hundred thirty-one thousand, one hundred thirty-one".

Divisors: 1 3 29 87 823 2469 8779 23867 26337 33889 71601 101667 254591 763773 982781 2948343 7225117 21675351 27890647 83671941 209528393 297511531 628585179 808828763 892534593 2426486289 8627834399 25883503197 244851990013 734555970039 7100707710377 21302123131131