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1312322232 = 2331323917599
BaseRepresentation
bin100111000111000…
…0111001010111000
310101110100212200010
41032032013022320
510141423302412
6334115341520
744343361224
oct11616071270
93343325603
101312322232
11613854131
123075b18a0
1317bb60840
14c640b784
157a32633c
hex4e3872b8

1312322232 has 64 divisors (see below), whose sum is σ = 3548160000. Its totient is φ = 402079104.

The previous prime is 1312322171. The next prime is 1312322243. The reversal of 1312322232 is 2322232131.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1312322199 and 1312322208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65769 + ... + 83367.

It is an arithmetic number, because the mean of its divisors is an integer number (55440000).

Almost surely, 21312322232 is an apocalyptic number.

1312322232 is a gapful number since it is divisible by the number (12) 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 1312322232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774080000).

1312322232 is an abundant number, since it is smaller than the sum of its proper divisors (2235837768).

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

1312322232 is a wasteful number, since it uses less digits than its factorization.

1312322232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17860 (or 17856 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 1312322232 is about 36225.9883509063. The cubic root of 1312322232 is about 1094.8303517332.

Adding to 1312322232 its reverse (2322232131), we get a palindrome (3634554363).

The spelling of 1312322232 in words is "one billion, three hundred twelve million, three hundred twenty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 239 312 478 717 956 1434 1912 2868 3107 5736 6214 9321 12428 17599 18642 24856 35198 37284 52797 70396 74568 105594 140792 211188 228787 422376 457574 686361 915148 1372722 1830296 2745444 4206161 5490888 8412322 12618483 16824644 25236966 33649288 50473932 54680093 100947864 109360186 164040279 218720372 328080558 437440744 656161116 1312322232