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1231330320 = 24325111071453
BaseRepresentation
bin100100101100100…
…1001110000010000
310011210222001122200
41021121021300100
510010210032240
6322103403200
742341064213
oct11131116020
93153861580
101231330320
11582065770
122a4453500
13168143b2c
14b976777a
1573178930
hex49649c10

1231330320 has 240 divisors, whose sum is σ = 4556440512. Its totient is φ = 295511040.

The previous prime is 1231330307. The next prime is 1231330337. The reversal of 1231330320 is 230331321.

1231330320 is a `hidden beast` number, since 1 + 2 + 313 + 30 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1231330293 and 1231330302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 846714 + ... + 848166.

Almost surely, 21231330320 is an apocalyptic number.

1231330320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1231330320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2278220256).

1231330320 is an abundant number, since it is smaller than the sum of its proper divisors (3325110192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1231330320 is a wasteful number, since it uses less digits than its factorization.

1231330320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1231330320 is about 35090.3166129917. The cubic root of 1231330320 is about 1071.8274068689.

Adding to 1231330320 its reverse (230331321), we get a palindrome (1461661641).

The spelling of 1231330320 in words is "one billion, two hundred thirty-one million, three hundred thirty thousand, three hundred twenty".