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1312332030 = 23455033221
BaseRepresentation
bin100111000111000…
…1001100011111110
310101110101101010000
41032032021203332
510141424111110
6334115455130
744343431622
oct11616114376
93343341100
101312332030
11613860529
123075b74a6
1317bb65139
14c6411182
157a3291c0
hex4e3898fe

1312332030 has 80 divisors (see below), whose sum is σ = 3536828064. Its totient is φ = 349151040.

The previous prime is 1312332029. The next prime is 1312332037. The reversal of 1312332030 is 302332131.

1312332030 is a `hidden beast` number, since 1 + 312 + 3 + 320 + 30 = 666.

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 = 1312331994 and 1312332012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312332037) 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 39 ways as a sum of consecutive naturals, for example, 405820 + ... + 409040.

Almost surely, 21312332030 is an apocalyptic number.

1312332030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312332030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1768414032).

1312332030 is an abundant number, since it is smaller than the sum of its proper divisors (2224496034).

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

1312332030 is a wasteful number, since it uses less digits than its factorization.

1312332030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3743 (or 3734 counting only the distinct ones).

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

The square root of 1312332030 is about 36226.1235850594. The cubic root of 1312332030 is about 1094.8330764505.

Adding to 1312332030 its reverse (302332131), we get a palindrome (1614664161).

The spelling of 1312332030 in words is "one billion, three hundred twelve million, three hundred thirty-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 503 810 1006 1509 2515 3018 3221 4527 5030 6442 7545 9054 9663 13581 15090 16105 19326 22635 27162 28989 32210 40743 45270 48315 57978 67905 81486 86967 96630 135810 144945 173934 203715 260901 289890 407430 434835 521802 869670 1304505 1620163 2609010 3240326 4860489 8100815 9720978 14581467 16201630 24302445 29162934 43744401 48604890 72907335 87488802 131233203 145814670 218722005 262466406 437444010 656166015 1312332030