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21302201300331 = 375213163615557
BaseRepresentation
bin1001101011111110011100…
…01001000011010101101011
32210102110201000221121020210
410311333032021003111223
510243003402013102311
6113150032435152203
74326014256316440
oct465771611032553
983373630847223
1021302201300331
1168732383177a6
122480614145663
13bb6a34476643
14539063d019c7
1526e1bc1833a6
hex135fce24356b

21302201300331 has 32 divisors (see below), whose sum is σ = 32533136552448. Its totient is φ = 12145461569280.

The previous prime is 21302201300309. The next prime is 21302201300431. The reversal of 21302201300331 is 13300310220312.

It is not a de Polignac number, because 21302201300331 - 211 = 21302201298283 is a prime.

It is a super-2 number, since 2×213022013003312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 21302201300298 and 21302201300307.

It is not an unprimeable number, because it can be changed into a prime (21302201300131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34298605 + ... + 34914161.

It is an arithmetic number, because the mean of its divisors is an integer number (1016660517264).

Almost surely, 221302201300331 is an apocalyptic number.

21302201300331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21302201300331 is a deficient number, since it is larger than the sum of its proper divisors (11230935252117).

21302201300331 is a wasteful number, since it uses less digits than its factorization.

21302201300331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619251.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 21302201300331 its reverse (13300310220312), we get a palindrome (34602511520643).

The spelling of 21302201300331 in words is "twenty-one trillion, three hundred two billion, two hundred one million, three hundred thousand, three hundred thirty-one".

Divisors: 1 3 7 21 521 1563 3163 3647 9489 10941 22141 66423 615557 1647923 1846671 4308899 4943769 11535461 12926697 34606383 320705197 962115591 1947006791 2244936379 5841020373 6734809137 13629047537 40887142611 1014390538111 3043171614333 7100733766777 21302201300331