Search a number
-
+
2002002101220 = 2235117334138249
BaseRepresentation
bin11101001000100000100…
…111111100001111100100
321002101111222011010112010
4131020200213330033210
5230300100014214340
64131412420554220
7264432323040612
oct35104047741744
97071458133463
102002002101220
11702053aa30a0
12284002552970
13116a32295c54
146cc7c7346b2
1537123b57b80
hex1d2209fc3e4

2002002101220 has 96 divisors (see below), whose sum is σ = 6123550608000. Its totient is φ = 484671605760.

The previous prime is 2002002101219. The next prime is 2002002101227. The reversal of 2002002101220 is 221012002002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2002002101196 and 2002002101205.

It is not an unprimeable number, because it can be changed into a prime (2002002101227) 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, 1585345 + ... + 2552904.

It is an arithmetic number, because the mean of its divisors is an integer number (63786985500).

Almost surely, 22002002101220 is an apocalyptic number.

2002002101220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002002101220 is an abundant number, since it is smaller than the sum of its proper divisors (4121548506780).

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

2002002101220 is a wasteful number, since it uses less digits than its factorization.

2002002101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4139005 (or 4139003 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2002002101220 its reverse (221012002002), we get a palindrome (2223014103222).

The spelling of 2002002101220 in words is "two trillion, two billion, two million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 733 1466 2199 2932 3665 4398 7330 8063 8796 10995 14660 16126 21990 24189 32252 40315 43980 48378 80630 96756 120945 161260 241890 483780 4138249 8276498 12414747 16552996 20691245 24829494 41382490 45520739 49658988 62073735 82764980 91041478 124147470 136562217 182082956 227603695 248294940 273124434 455207390 546248868 682811085 910414780 1365622170 2731244340 3033336517 6066673034 9100009551 12133346068 15166682585 18200019102 30333365170 33366701687 36400038204 45500047755 60666730340 66733403374 91000095510 100100105061 133466806748 166833508435 182000191020 200200210122 333667016870 400400420244 500500525305 667334033740 1001001050610 2002002101220