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1330101034340 = 2251322922339621
BaseRepresentation
bin10011010110110000001…
…100110001110101100100
311201011020000202102122212
4103112300030301311210
5133243021331044330
62455012345142552
7165045100151111
oct23266014616544
94634200672585
101330101034340
114731023a3881
1219594818aa58
13985743a5a70
144853d1b3908
15248eb85a295
hex135b0331d64

1330101034340 has 48 divisors (see below), whose sum is σ = 3021210479280. Its totient is φ = 488969602560.

The previous prime is 1330101034337. The next prime is 1330101034429. The reversal of 1330101034340 is 434301010331.

It can be written as a sum of positive squares in 8 ways, for example, as 37186494244 + 1292914540096 = 192838^2 + 1137064^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11110271 + ... + 11229350.

It is an arithmetic number, because the mean of its divisors is an integer number (62941884985).

Almost surely, 21330101034340 is an apocalyptic number.

1330101034340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1330101034340 is an abundant number, since it is smaller than the sum of its proper divisors (1691109444940).

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

1330101034340 is a wasteful number, since it uses less digits than its factorization.

1330101034340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22339872 (or 22339870 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 1330101034340 its reverse (434301010331), we get a palindrome (1764402044671).

The spelling of 1330101034340 in words is "one trillion, three hundred thirty billion, one hundred one million, thirty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 229 260 458 916 1145 2290 2977 4580 5954 11908 14885 29770 59540 22339621 44679242 89358484 111698105 223396210 290415073 446792420 580830146 1161660292 1452075365 2904150730 5115773209 5808301460 10231546418 20463092836 25578866045 51157732090 66505051717 102315464180 133010103434 266020206868 332525258585 665050517170 1330101034340