Search a number
-
+
203031022000 = 2453536013187
BaseRepresentation
bin1011110100010110010…
…1111000100110110000
3201102001120200120000111
42331011211320212300
511311301420201000
6233134323231104
720445204132562
oct2750545704660
9642046616014
10203031022000
117911779a964
1233422818494
13161b8275911
149b80881332
1554345e4cba
hex2f459789b0

203031022000 has 160 divisors (see below), whose sum is σ = 501181297344. Its totient is φ = 79522560000.

The previous prime is 203031021983. The next prime is 203031022001. The reversal of 203031022000 is 220130302.

It is a happy number.

203031022000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (203031022001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 63704407 + ... + 63707593.

Almost surely, 2203031022000 is an apocalyptic number.

203031022000 is a gapful number since it is divisible by the number (20) 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 203031022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250590648672).

203031022000 is an abundant number, since it is smaller than the sum of its proper divisors (298150275344).

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

203031022000 is a wasteful number, since it uses less digits than its factorization.

203031022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3864 (or 3848 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 203031022000 its reverse (220130302), we get a palindrome (203251152302).

The spelling of 203031022000 in words is "two hundred three billion, thirty-one million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 125 200 212 250 265 400 424 500 530 601 848 1000 1060 1202 1325 2000 2120 2404 2650 3005 3187 4240 4808 5300 6010 6374 6625 9616 10600 12020 12748 13250 15025 15935 21200 24040 25496 26500 30050 31853 31870 48080 50992 53000 60100 63706 63740 75125 79675 106000 120200 127412 127480 150250 159265 159350 168911 240400 254824 254960 300500 318530 318700 337822 398375 509648 601000 637060 637400 675644 796325 796750 844555 1202000 1274120 1274800 1351288 1592650 1593500 1689110 1915387 2548240 2702576 3185300 3187000 3378220 3830774 3981625 4222775 6370600 6374000 6756440 7661548 7963250 8445550 9576935 12741200 13512880 15323096 15926500 16891100 19153870 21113875 30646192 31853000 33782200 38307740 42227750 47884675 63706000 67564400 76615480 84455500 95769350 101515511 153230960 168911000 191538700 203031022 239423375 337822000 383077400 406062044 478846750 507577555 766154800 812124088 957693500 1015155110 1624248176 1915387000 2030310220 2537887775 3830774000 4060620440 5075775550 8121240880 10151551100 12689438875 20303102200 25378877750 40606204400 50757755500 101515511000 203031022000