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21301232231201 = 1331213881135277
BaseRepresentation
bin1001101011111100101000…
…11000010110001100100001
32210102101012111110210022112
410311332110120112030201
510242444410422344301
6113145352340445105
74325651251342136
oct465762430261441
983371174423275
1021301232231201
1168728902aa81a
1224803a36a9795
13bb690b779060
14538db132658d
1526e1620619bb
hex135f94616321

21301232231201 has 16 divisors (see below), whose sum is σ = 22953221058768. Its totient is φ = 19651165747200.

The previous prime is 21301232231183. The next prime is 21301232231261. The reversal of 21301232231201 is 10213223210312.

It can be written as a sum of positive squares in 8 ways, for example, as 10138817590801 + 11162414640400 = 3184151^2 + 3341020^2 .

It is not a de Polignac number, because 21301232231201 - 26 = 21301232231137 is a prime.

It is a super-3 number, since 3×213012322312013 (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (21301232231261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157396175 + ... + 157531451.

It is an arithmetic number, because the mean of its divisors is an integer number (1434576316173).

Almost surely, 221301232231201 is an apocalyptic number.

It is an amenable number.

21301232231201 is a deficient number, since it is larger than the sum of its proper divisors (1651988827567).

21301232231201 is a wasteful number, since it uses less digits than its factorization.

21301232231201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142292.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 21301232231201 its reverse (10213223210312), we get a palindrome (31514455441513).

The spelling of 21301232231201 in words is "twenty-one trillion, three hundred one billion, two hundred thirty-two million, two hundred thirty-one thousand, two hundred one".

Divisors: 1 13 3121 3881 40573 50453 135277 1758601 12112601 157463813 422199517 525010037 5488593721 6825130481 1638556325477 21301232231201