Search a number
-
+
1200331031100 = 2235223174799577
BaseRepresentation
bin10001011101111001010…
…011100000001000111100
311020202021010121020021120
4101131321103200020330
5124131234220443400
62315231403430540
7152502215264205
oct21357123401074
94222233536246
101200331031100
1142306a635713
12174770525450
138926305bbb6
144214c4985ac
1521353cc8ca0
hex117794e023c

1200331031100 has 144 divisors (see below), whose sum is σ = 3626066750208. Its totient is φ = 305993064960.

The previous prime is 1200331031083. The next prime is 1200331031117. The reversal of 1200331031100 is 11301330021.

It is an interprime number because it is at equal distance from previous prime (1200331031083) and next prime (1200331031117).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1200331031100.

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 47 ways as a sum of consecutive naturals, for example, 12004512 + ... + 12104088.

Almost surely, 21200331031100 is an apocalyptic number.

1200331031100 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 1200331031100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1813033375104).

1200331031100 is an abundant number, since it is smaller than the sum of its proper divisors (2425735719108).

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

1200331031100 is a wasteful number, since it uses less digits than its factorization.

1200331031100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101364 (or 101357 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 1200331031100 its reverse (11301330021), we get a palindrome (1211632361121).

The spelling of 1200331031100 in words is "one trillion, two hundred billion, three hundred thirty-one million, thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1150 1380 1725 1747 2300 3450 3494 5241 6900 6988 8735 10482 17470 20964 26205 34940 40181 43675 52410 80362 87350 99577 104820 120543 131025 160724 174700 199154 200905 241086 262050 298731 398308 401810 482172 497885 524100 597462 602715 803620 995770 1004525 1194924 1205430 1493655 1991540 2009050 2290271 2410860 2489425 2987310 3013575 4018100 4580542 4978850 5974620 6027150 6870813 7468275 9161084 9957700 11451355 12054300 13741626 14936550 22902710 27483252 29873100 34354065 45805420 57256775 68708130 114513550 137416260 171770325 173961019 229027100 343540650 347922038 521883057 687081300 695844076 869805095 1043766114 1739610190 2087532228 2609415285 3479220380 4001103437 4349025475 5218830570 8002206874 8698050950 10437661140 12003310311 13047076425 16004413748 17396101900 20005517185 24006620622 26094152850 40011034370 48013241244 52188305700 60016551555 80022068740 100027585925 120033103110 200055171850 240066206220 300082757775 400110343700 600165515550 1200331031100