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2220100202020 = 22523291109150067
BaseRepresentation
bin100000010011101000010…
…010001010111000100100
321212020110121012121001011
4200103220102022320210
5242333231122431040
64415522220112004
7316253103232111
oct40235022127044
97766417177034
102220100202020
117865a2760298
122ba32b095604
1313147bc428bc
147964c29b908
153cb3adb23ea
hex204e848ae24

2220100202020 has 96 divisors (see below), whose sum is σ = 5037242515200. Its totient is φ = 819393974784.

The previous prime is 2220100202011. The next prime is 2220100202029. The reversal of 2220100202020 is 202020010222.

It is an interprime number because it is at equal distance from previous prime (2220100202011) and next prime (2220100202029).

It is not an unprimeable number, because it can be changed into a prime (2220100202029) 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, 14719027 + ... + 14869093.

It is an arithmetic number, because the mean of its divisors is an integer number (52471276200).

Almost surely, 22220100202020 is an apocalyptic number.

2220100202020 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 2220100202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2518621257600).

2220100202020 is an abundant number, since it is smaller than the sum of its proper divisors (2817142313180).

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

2220100202020 is a wasteful number, since it uses less digits than its factorization.

2220100202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151237 (or 151235 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 2220100202020 its reverse (202020010222), we get a palindrome (2422120212242).

The spelling of 2220100202020 in words is "two trillion, two hundred twenty billion, one hundred million, two hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 23 29 46 58 92 115 116 145 230 290 460 580 667 1109 1334 2218 2668 3335 4436 5545 6670 11090 13340 22180 25507 32161 51014 64322 102028 127535 128644 150067 160805 255070 300134 321610 510140 600268 643220 739703 750335 1479406 1500670 2958812 3001340 3451541 3698515 4351943 6903082 7397030 8703886 13806164 14794060 17257705 17407772 21759715 34515410 43519430 69030820 87038860 100094689 166424303 200189378 332848606 400378756 500473445 665697212 832121515 1000946890 1664243030 2001893780 3328486060 3827758969 4826304787 7655517938 9652609574 15311035876 19138794845 19305219148 24131523935 38277589690 48263047870 76555179380 96526095740 111005010101 222010020202 444020040404 555025050505 1110050101010 2220100202020