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1330312331 = 29312695501
BaseRepresentation
bin100111101001010…
…1111010010001011
310102201012212110002
41033102233102023
510211024443311
6340001113215
744652316415
oct11722572213
93381185402
101330312331
11622a21387
1231162880b
131827bc17a
14c89719b5
157bbcb93b
hex4f4af48b

1330312331 has 16 divisors (see below), whose sum is σ = 1426118400. Its totient is φ = 1238160000.

The previous prime is 1330312289. The next prime is 1330312337. The reversal of 1330312331 is 1332130331.

It is a cyclic number.

It is not a de Polignac number, because 1330312331 - 230 = 256570507 is a prime.

It is a super-2 number, since 2×13303123312 = 3539461796021307122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1330312337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 239081 + ... + 244581.

It is an arithmetic number, because the mean of its divisors is an integer number (89132400).

Almost surely, 21330312331 is an apocalyptic number.

1330312331 is a deficient number, since it is larger than the sum of its proper divisors (95806069).

1330312331 is a wasteful number, since it uses less digits than its factorization.

1330312331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5830.

The product of its (nonzero) digits is 486, while the sum is 20.

The square root of 1330312331 is about 36473.4469306097. The cubic root of 1330312331 is about 1099.8105268696.

Adding to 1330312331 its reverse (1332130331), we get a palindrome (2662442662).

The spelling of 1330312331 in words is "one billion, three hundred thirty million, three hundred twelve thousand, three hundred thirty-one".

Divisors: 1 29 31 269 899 5501 7801 8339 159529 170531 241831 1479769 4945399 42913301 45872839 1330312331