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1330130001000 = 233533061144847
BaseRepresentation
bin10011010110110001111…
…011010001110001101000
311201011022001021002110010
4103112301323101301220
5133243101240013000
62455015302051520
7165045601314033
oct23266173216150
94634261232403
101330130001000
11473117788969
12195955a19ba0
139857a3a85b8
1448542d9401a
15248ee17cd50
hex135b1ed1c68

1330130001000 has 128 divisors (see below), whose sum is σ = 4151390031360. Its totient is φ = 354583008000.

The previous prime is 1330130000999. The next prime is 1330130001157. The reversal of 1330130001000 is 1000310331.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9110577 + ... + 9255423.

It is an arithmetic number, because the mean of its divisors is an integer number (32432734620).

Almost surely, 21330130001000 is an apocalyptic number.

1330130001000 is a gapful number since it is divisible by the number (10) 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 1330130001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2075695015680).

1330130001000 is an abundant number, since it is smaller than the sum of its proper divisors (2821260030360).

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

1330130001000 is a wasteful number, since it uses less digits than its factorization.

1330130001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147932 (or 147918 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 1330130001000 its reverse (1000310331), we get a palindrome (1331130311331).

The spelling of 1330130001000 in words is "one trillion, three hundred thirty billion, one hundred thirty million, one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 3061 6122 9183 12244 15305 18366 24488 30610 36732 45915 61220 73464 76525 91830 122440 144847 153050 183660 229575 289694 306100 367320 382625 434541 459150 579388 612200 724235 765250 869082 918300 1147875 1158776 1448470 1530500 1738164 1836600 2172705 2295750 2896940 3061000 3476328 3621175 4345410 4591500 5793880 7242350 8690820 9183000 10863525 14484700 17381640 18105875 21727050 28969400 36211750 43454100 54317625 72423500 86908200 108635250 144847000 217270500 434541000 443376667 886753334 1330130001 1773506668 2216883335 2660260002 3547013336 4433766670 5320520004 6650650005 8867533340 10641040008 11084416675 13301300010 17735066680 22168833350 26602600020 33253250025 44337666700 53205200040 55422083375 66506500050 88675333400 110844166750 133013000100 166266250125 221688333500 266026000200 332532500250 443376667000 665065000500 1330130001000