Search a number
-
+
2201302203000 = 233533511208991
BaseRepresentation
bin100000000010000111110…
…101011111101001111000
321210102221112110022011020
4200002013311133221320
5242031231330444000
64403133025502440
7315016214666205
oct40020765375170
97712845408136
102201302203000
1177962678440a
122b67637a1a20
1312c7745b0164
14787878a6cac
153c3da929ba0
hex20087d5fa78

2201302203000 has 128 divisors (see below), whose sum is σ = 6870051901440. Its totient is φ = 586843920000.

The previous prime is 2201302202969. The next prime is 2201302203007. The reversal of 2201302203000 is 3022031022.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201302203007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10428505 + ... + 10637495.

It is an arithmetic number, because the mean of its divisors is an integer number (53672280480).

Almost surely, 22201302203000 is an apocalyptic number.

2201302203000 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 2201302203000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3435025950720).

2201302203000 is an abundant number, since it is smaller than the sum of its proper divisors (4668749698440).

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

2201302203000 is a wasteful number, since it uses less digits than its factorization.

2201302203000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212526 (or 212512 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 2201302203000 its reverse (3022031022), we get a palindrome (2204324234022).

The spelling of 2201302203000 in words is "two trillion, two hundred one billion, three hundred two million, two hundred three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 3511 7022 10533 14044 17555 21066 28088 35110 42132 52665 70220 84264 87775 105330 140440 175550 208991 210660 263325 351100 417982 421320 438875 526650 626973 702200 835964 877750 1044955 1053300 1253946 1316625 1671928 1755500 2089910 2106600 2507892 2633250 3134865 3511000 4179820 5015784 5224775 5266500 6269730 8359640 10449550 10533000 12539460 15674325 20899100 25078920 26123875 31348650 41798200 52247750 62697300 78371625 104495500 125394600 156743250 208991000 313486500 626973000 733767401 1467534802 2201302203 2935069604 3668837005 4402604406 5870139208 7337674010 8805208812 11006511015 14675348020 17610417624 18344185025 22013022030 29350696040 36688370050 44026044060 55032555075 73376740100 88052088120 91720925125 110065110150 146753480200 183441850250 220130220300 275162775375 366883700500 440260440600 550325550750 733767401000 1100651101500 2201302203000