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10022201011220 = 2256732617284521
BaseRepresentation
bin1001000111010111100110…
…1110110010110000010100
31022111010001102100110212012
42101311321232302300110
52303200431424324340
633152045141443352
72053036325001446
oct221657156626024
938433042313765
1010022201011220
113214434213382
12115a452a10558
13579121829b58
14269111876496
15125a7902a565
hex91d79bb2c14

10022201011220 has 48 divisors (see below), whose sum is σ = 21086023295568. Its totient is φ = 4001380024320.

The previous prime is 10022201011171. The next prime is 10022201011247. The reversal of 10022201011220 is 2211010222001.

10022201011220 is digitally balanced in base 2, 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 8 ways, for example, as 203967850384 + 9818233160836 = 451628^2 + 3133406^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10022201011195 and 10022201011204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35082560 + ... + 35367080.

It is an arithmetic number, because the mean of its divisors is an integer number (439292151991).

Almost surely, 210022201011220 is an apocalyptic number.

10022201011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022201011220 is an abundant number, since it is smaller than the sum of its proper divisors (11063822284348).

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

10022201011220 is a wasteful number, since it uses less digits than its factorization.

10022201011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287820 (or 287818 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10022201011220 its reverse (2211010222001), we get a palindrome (12233211233221).

The spelling of 10022201011220 in words is "ten trillion, twenty-two billion, two hundred one million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 673 1346 2617 2692 3365 5234 6730 10468 13085 13460 26170 52340 284521 569042 1138084 1422605 1761241 2845210 3522482 5690420 7044964 8806205 17612410 35224820 191482633 382965266 744591457 765930532 957413165 1489182914 1914826330 2978365828 3722957285 3829652660 7445914570 14891829140 501110050561 1002220101122 2004440202244 2505550252805 5011100505610 10022201011220