Search a number
-
+
1004232200200 = 235218129399439
BaseRepresentation
bin11101001110100001110…
…01110101000000001000
310120000002200001110201121
432213100321311000020
5112423131420401300
62045200553125024
7132360544601065
oct16472071650010
93500080043647
101004232200200
1135798a995609
121427633b9774
1373911039b08
1436868561c6c
151b1c80a681a
hexe9d0e75008

1004232200200 has 96 divisors (see below), whose sum is σ = 2348787168000. Its totient is φ = 399295353600.

The previous prime is 1004232200183. The next prime is 1004232200201. The reversal of 1004232200200 is 20022324001.

It is not an unprimeable number, because it can be changed into a prime (1004232200201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106387081 + ... + 106396519.

It is an arithmetic number, because the mean of its divisors is an integer number (24466533000).

Almost surely, 21004232200200 is an apocalyptic number.

1004232200200 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 1004232200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174393584000).

1004232200200 is an abundant number, since it is smaller than the sum of its proper divisors (1344554967800).

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

1004232200200 is a wasteful number, since it uses less digits than its factorization.

1004232200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12575 (or 12566 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 1004232200200 its reverse (20022324001), we get a palindrome (1024254524201).

The spelling of 1004232200200 in words is "one trillion, four billion, two hundred thirty-two million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 181 200 362 724 905 1448 1810 2939 3620 4525 5878 7240 9050 9439 11756 14695 18100 18878 23512 29390 36200 37756 47195 58780 73475 75512 94390 117560 146950 188780 235975 293900 377560 471950 531959 587800 943900 1063918 1708459 1887800 2127836 2659795 3416918 4255672 5319590 6833836 8542295 10639180 13298975 13667672 17084590 21278360 26597950 27741221 34169180 42711475 53195900 55482442 68338360 85422950 106391800 110964884 138706105 170845900 221929768 277412210 341691800 554824420 693530525 1109648840 1387061050 2774122100 5021161001 5548244200 10042322002 20084644004 25105805005 40169288008 50211610010 100423220020 125529025025 200846440040 251058050050 502116100100 1004232200200