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1020001322320 = 24547872663467
BaseRepresentation
bin11101101011111001101…
…00010000010101010000
310121111210122102212121121
432311330310100111100
5113202430314303240
62100325424132024
7133456404121051
oct16657464202520
93544718385547
101020001322320
11363642178442
12145824467014
13752550172c6
1437522994728
151b7ec69404a
hexed7cd10550

1020001322320 has 40 divisors (see below), whose sum is σ = 2371999369824. Its totient is φ = 407915144832.

The previous prime is 1020001322279. The next prime is 1020001322341. The reversal of 1020001322320 is 232231000201.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1020001322294 and 1020001322303.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 948774 + ... + 1714693.

Almost surely, 21020001322320 is an apocalyptic number.

1020001322320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020001322320 is an abundant number, since it is smaller than the sum of its proper divisors (1351998047504).

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

1020001322320 is a wasteful number, since it uses less digits than its factorization.

1020001322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2668267 (or 2668261 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 1020001322320 its reverse (232231000201), we get a palindrome (1252232322521).

The spelling of 1020001322320 in words is "one trillion, twenty billion, one million, three hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 4787 9574 19148 23935 38296 47870 76592 95740 191480 382960 2663467 5326934 10653868 13317335 21307736 26634670 42615472 53269340 106538680 213077360 12750016529 25500033058 51000066116 63750082645 102000132232 127500165290 204000264464 255000330580 510000661160 1020001322320