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1320000322134 = 231337246326699
BaseRepresentation
bin10011001101010110001…
…001100111101001010110
311200012011002111002100210
4103031112021213221112
5133111330040302014
62450222203550250
7164236560416424
oct23152611475126
94605132432323
101320000322134
1146989985123a
121939a952b386
1397624885890
1447c61916114
1524509c06859
hex13356267a56

1320000322134 has 96 divisors (see below), whose sum is σ = 2928414988800. Its totient is φ = 394308528768.

The previous prime is 1320000322133. The next prime is 1320000322159. The reversal of 1320000322134 is 4312230000231.

It is a self number, because there is not a number n which added to its sum of digits gives 1320000322134.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320000322133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49426717 + ... + 49453415.

It is an arithmetic number, because the mean of its divisors is an integer number (30504322800).

Almost surely, 21320000322134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1320000322134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464207494400).

1320000322134 is an abundant number, since it is smaller than the sum of its proper divisors (1608414666666).

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

1320000322134 is a wasteful number, since it uses less digits than its factorization.

1320000322134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27254 (or 27217 counting only the distinct ones).

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

Adding to 1320000322134 its reverse (4312230000231), we get a palindrome (5632230322365).

The spelling of 1320000322134 in words is "one trillion, three hundred twenty billion, three hundred twenty-two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 13 26 37 39 74 78 111 222 463 481 926 962 1369 1389 1443 2738 2778 2886 4107 6019 8214 12038 17131 17797 18057 26699 34262 35594 36114 51393 53391 53398 80097 102786 106782 160194 222703 347087 445406 633847 668109 694174 987863 1041261 1267694 1336218 1901541 1975726 2082522 2963589 3803082 5927178 8240011 12361637 12842219 16480022 24720033 24723274 25684438 36550931 37084911 38526657 49440066 73101862 74169822 77053314 109652793 160701281 219305586 321402562 457380569 475162103 482103843 914761138 950324206 964207686 1372141707 1425486309 2744283414 2850972618 5945947397 11891894794 16923081053 17837842191 33846162106 35675684382 50769243159 101538486318 220000053689 440000107378 660000161067 1320000322134