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220010210020 = 225171009641317
BaseRepresentation
bin1100110011100110100…
…0010110001011100100
3210000212220000200021001
43030321220112023210
512101040103210040
6245023222203044
721616025633506
oct3147150261344
9700786020231
10220010210020
1185340034157
1236780b83484
1317992b60133
14a9118a3d76
155aca05a59a
hex3339a162e4

220010210020 has 48 divisors (see below), whose sum is σ = 489684772080. Its totient is φ = 82745155584.

The previous prime is 220010209999. The next prime is 220010210023. The reversal of 220010210020 is 20012010022.

It can be written as a sum of positive squares in 8 ways, for example, as 19573129216 + 200437080804 = 139904^2 + 447702^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 220010209979 and 220010210006.

It is not an unprimeable number, because it can be changed into a prime (220010210023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22402 + ... + 663718.

It is an arithmetic number, because the mean of its divisors is an integer number (10201766085).

Almost surely, 2220010210020 is an apocalyptic number.

220010210020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220010210020 is an abundant number, since it is smaller than the sum of its proper divisors (269674562060).

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

220010210020 is a wasteful number, since it uses less digits than its factorization.

220010210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642352 (or 642350 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 220010210020 its reverse (20012010022), we get a palindrome (240022220042).

It can be divided in two parts, 2200102 and 10020, that added together give a palindrome (2210122).

The spelling of 220010210020 in words is "two hundred twenty billion, ten million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 1009 2018 4036 5045 10090 17153 20180 34306 68612 85765 171530 343060 641317 1282634 2565268 3206585 6413170 10902389 12826340 21804778 43609556 54511945 109023890 218047780 647088853 1294177706 2588355412 3235444265 6470888530 11000510501 12941777060 22001021002 44002042004 55002552505 110005105010 220010210020