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101223201220 = 22523321721717
BaseRepresentation
bin101111001000101011…
…1110111100111000100
3100200021102022101212121
41132101113313213010
53124301114414340
6114300140255324
710212256004551
oct1362127674704
9320242271777
10101223201220
1139a239492a9
121774b541544
13971206844b
144c836ada28
15297680994a
hex17915f79c4

101223201220 has 24 divisors (see below), whose sum is σ = 213481044504. Its totient is φ = 40315504896.

The previous prime is 101223201193. The next prime is 101223201223. The reversal of 101223201220 is 22102322101.

It is a happy number.

101223201220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 23440222404 + 77782978816 = 153102^2 + 278896^2 .

It is a super-2 number, since 2×1012232012202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101223201194 and 101223201203.

It is not an unprimeable number, because it can be changed into a prime (101223201223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10856199 + ... + 10865518.

It is an arithmetic number, because the mean of its divisors is an integer number (8895043521).

Almost surely, 2101223201220 is an apocalyptic number.

101223201220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101223201220 is an abundant number, since it is smaller than the sum of its proper divisors (112257843284).

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

101223201220 is a wasteful number, since it uses less digits than its factorization.

101223201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21721959 (or 21721957 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 101223201220 its reverse (22102322101), we get a palindrome (123325523321).

The spelling of 101223201220 in words is "one hundred one billion, two hundred twenty-three million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 233 466 932 1165 2330 4660 21721717 43443434 86886868 108608585 217217170 434434340 5061160061 10122320122 20244640244 25305800305 50611600610 101223201220