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1322101213121 = 131012394213103
BaseRepresentation
bin10011001111010011010…
…111111000011111000001
311200101120111200102000002
4103033103113320133001
5133130130402304441
62451210453205345
7164342620614143
oct23172327703701
94611514612002
101322101213121
1146a777738787
12194295030855
139789abc6140
1447dc0954c93
15245ce397b9b
hex133d35f87c1

1322101213121 has 16 divisors (see below), whose sum is σ = 1443915002880. Its totient is φ = 1203261931200.

The previous prime is 1322101213117. The next prime is 1322101213127. The reversal of 1322101213121 is 1213121012231.

It is a cyclic number.

It is not a de Polignac number, because 1322101213121 - 22 = 1322101213117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1322101213093 and 1322101213102.

It is not an unprimeable number, because it can be changed into a prime (1322101213127) 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 15 ways as a sum of consecutive naturals, for example, 1792745 + ... + 2420358.

It is an arithmetic number, because the mean of its divisors is an integer number (90244687680).

Almost surely, 21322101213121 is an apocalyptic number.

It is an amenable number.

1322101213121 is a deficient number, since it is larger than the sum of its proper divisors (121813789759).

1322101213121 is a wasteful number, since it uses less digits than its factorization.

1322101213121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4213456.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 1322101213121 its reverse (1213121012231), we get a palindrome (2535222225352).

The spelling of 1322101213121 in words is "one trillion, three hundred twenty-two billion, one hundred one million, two hundred thirteen thousand, one hundred twenty-one".

Divisors: 1 13 101 239 1313 3107 24139 313807 4213103 54770339 425523403 1006931617 5531804239 13090111021 101700093317 1322101213121