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1002320311100 = 2252173971485139
BaseRepresentation
bin11101001010111101111…
…00100011001100111100
310112211011102111102221012
432211132330203030330
5112410222444423400
62044243134454352
7132262301033303
oct16453674431474
93484142442835
101002320311100
11357099759a79
1214230b0643b8
1373697c028a4
143672668143a
151b1152ead35
hexe95ef2333c

1002320311100 has 72 divisors (see below), whose sum is σ = 2308780822320. Its totient is φ = 376393374720.

The previous prime is 1002320311093. The next prime is 1002320311123. The reversal of 1002320311100 is 11130232001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67670 + ... + 1417469.

It is an arithmetic number, because the mean of its divisors is an integer number (32066400310).

Almost surely, 21002320311100 is an apocalyptic number.

1002320311100 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 1002320311100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154390411160).

1002320311100 is an abundant number, since it is smaller than the sum of its proper divisors (1306460511220).

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

1002320311100 is a wasteful number, since it uses less digits than its factorization.

1002320311100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485567 (or 1485560 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1002320311100 its reverse (11130232001), we get a palindrome (1013450543101).

The spelling of 1002320311100 in words is "one trillion, two billion, three hundred twenty million, three hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 397 425 794 850 1588 1700 1985 3970 6749 7940 9925 13498 19850 26996 33745 39700 67490 134980 168725 337450 674900 1485139 2970278 5940556 7425695 14851390 25247363 29702780 37128475 50494726 74256950 100989452 126236815 148513900 252473630 504947260 589600183 631184075 1179200366 1262368150 2358400732 2524736300 2948000915 5896001830 10023203111 11792003660 14740004575 20046406222 29480009150 40092812444 50116015555 58960018300 100232031110 200464062220 250580077775 501160155550 1002320311100