Search a number
-
+
10000220201010 = 2325138547196753
BaseRepresentation
bin1001000110000101101110…
…0100101010000000110010
31022102000022112120121211100
42101201123210222000302
52302320422332413020
633134012052425230
72051330531125614
oct221413344520062
938360275517740
1010000220201010
113206084664326
121156139618216
1357702a966590
1426802848cdb4
151251de43ca90
hex9185b92a032

10000220201010 has 48 divisors (see below), whose sum is σ = 28000616566104. Its totient is φ = 2461592664576.

The previous prime is 10000220200967. The next prime is 10000220201017. The reversal of 10000220201010 is 1010202200001.

It can be written as a sum of positive squares in 4 ways, for example, as 5943907388169 + 4056312812841 = 2438013^2 + 2014029^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10000220200983 and 10000220201001.

It is not an unprimeable number, because it can be changed into a prime (10000220201017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4273597207 + ... + 4273599546.

Almost surely, 210000220201010 is an apocalyptic number.

10000220201010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10000220201010 is an abundant number, since it is smaller than the sum of its proper divisors (18000396365094).

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

10000220201010 is a wasteful number, since it uses less digits than its factorization.

10000220201010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8547196779 (or 8547196776 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10000220201010 its reverse (1010202200001), we get a palindrome (11010422401011).

The spelling of 10000220201010 in words is "ten trillion, two hundred twenty million, two hundred one thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 8547196753 17094393506 25641590259 42735983765 51283180518 76924770777 85471967530 111113557789 128207951295 153849541554 222227115578 256415902590 333340673367 384623853885 555567788945 666681346734 769247707770 1000022020101 1111135577890 1666703366835 2000044040202 3333406733670 5000110100505 10000220201010