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1322131330 = 251310170241
BaseRepresentation
bin100111011001110…
…0001111110000010
310102010211020020001
41032303201332002
510201431200310
6335105510214
744522634202
oct11663417602
93363736201
101322131330
11619343923
1230a94236a
13180bb6540
14c7842402
157b11293a
hex4ece1f82

1322131330 has 16 divisors (see below), whose sum is σ = 2562900984. Its totient is φ = 488171520.

The previous prime is 1322131313. The next prime is 1322131331. The reversal of 1322131330 is 331312231.

It can be written as a sum of positive squares in 4 ways, for example, as 462293001 + 859838329 = 21501^2 + 29323^2 .

It is a super-3 number, since 3×13221313303 (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1322131298 and 1322131307.

It is not an unprimeable number, because it can be changed into a prime (1322131331) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5084991 + ... + 5085250.

Almost surely, 21322131330 is an apocalyptic number.

1322131330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1322131330 is a deficient number, since it is larger than the sum of its proper divisors (1240769654).

1322131330 is a wasteful number, since it uses less digits than its factorization.

1322131330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10170261.

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 1322131330 is about 36361.1238825205. The cubic root of 1322131330 is about 1097.5513936529.

Adding to 1322131330 its reverse (331312231), we get a palindrome (1653443561).

It can be divided in two parts, 13221 and 31330, that added together give a triangular number (44551 = T298).

The spelling of 1322131330 in words is "one billion, three hundred twenty-two million, one hundred thirty-one thousand, three hundred thirty".

Divisors: 1 2 5 10 13 26 65 130 10170241 20340482 50851205 101702410 132213133 264426266 661065665 1322131330