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1000320311100 = 2235211303127367
BaseRepresentation
bin11101000111001111011…
…11001001111100111100
310112122000001010220201010
432203213233021330330
5112342123444423400
62043312451515220
7132161604231435
oct16434757117474
93478001126633
101000320311100
11356262812410
12141a512b8b10
1373439758536
14365b6bc648c
151b049938450
hexe8e7bc9f3c

1000320311100 has 72 divisors (see below), whose sum is σ = 3157374665088. Its totient is φ = 242501892800.

The previous prime is 1000320311017. The next prime is 1000320311147. The reversal of 1000320311100 is 11130230001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151560384 + ... + 151566983.

It is an arithmetic number, because the mean of its divisors is an integer number (43852425904).

Almost surely, 21000320311100 is an apocalyptic number.

1000320311100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000320311100 is an abundant number, since it is smaller than the sum of its proper divisors (2157054353988).

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

1000320311100 is a wasteful number, since it uses less digits than its factorization.

1000320311100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303127395 (or 303127388 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 1000320311100 its reverse (11130230001), we get a palindrome (1011450541101).

The spelling of 1000320311100 in words is "one trillion, three hundred twenty million, three hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 303127367 606254734 909382101 1212509468 1515636835 1818764202 3031273670 3334401037 3637528404 4546910505 6062547340 6668802074 7578184175 9093821010 10003203111 13337604148 15156368350 16672005185 18187642020 20006406222 22734552525 30312736700 33344010370 40012812444 45469105050 50016015555 66688020740 83360025925 90938210100 100032031110 166720051850 200064062220 250080077775 333440103700 500160155550 1000320311100