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1230001331 = 132910132303
BaseRepresentation
bin100100101010000…
…0101010010110011
310011201110112121212
41021110011102303
510004340020311
6322015110335
742323560466
oct11124052263
93151415555
101230001331
11581338229
122a3b123ab
13167a99c50
14b94dd2dd
1572eb4c8b
hex495054b3

1230001331 has 16 divisors (see below), whose sum is σ = 1383903360. Its totient is φ = 1085347200.

The previous prime is 1230001321. The next prime is 1230001351. The reversal of 1230001331 is 1331000321.

It is a cyclic number.

It is not a de Polignac number, because 1230001331 - 210 = 1230000307 is a prime.

It is a super-2 number, since 2×12300013312 = 3025806548523543122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1230001321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21926 + ... + 54228.

It is an arithmetic number, because the mean of its divisors is an integer number (86493960).

Almost surely, 21230001331 is an apocalyptic number.

1230001331 is a deficient number, since it is larger than the sum of its proper divisors (153902029).

1230001331 is a wasteful number, since it uses less digits than its factorization.

1230001331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32446.

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 1230001331 is about 35071.3748090947. The cubic root of 1230001331 is about 1071.4416561644.

Adding to 1230001331 its reverse (1331000321), we get a palindrome (2561001652).

The spelling of 1230001331 in words is "one billion, two hundred thirty million, one thousand, three hundred thirty-one".

Divisors: 1 13 29 101 377 1313 2929 32303 38077 419939 936787 3262603 12178231 42413839 94615487 1230001331