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10022201120 = 25562638757
BaseRepresentation
bin10010101010101111…
…01010011100100000
3221212110112120100002
421111113222130200
5131011140413440
64334254315132
7503234206151
oct112527523440
927773476302
1010022201120
1142832a9048
121b384b8aa8
13c39491729
146b10a1928
153d9ce6115
hex2555ea720

10022201120 has 24 divisors (see below), whose sum is σ = 23677450524. Its totient is φ = 4008880384.

The previous prime is 10022201107. The next prime is 10022201129. The reversal of 10022201120 is 2110222001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9854135824 + 168065296 = 99268^2 + 12964^2 .

It is a super-3 number, since 3×100222011203 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10022201129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31319219 + ... + 31319538.

Almost surely, 210022201120 is an apocalyptic number.

10022201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022201120 is an abundant number, since it is smaller than the sum of its proper divisors (13655249404).

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

10022201120 is an equidigital number, since it uses as much as digits as its factorization.

10022201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62638772 (or 62638764 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10022201120 its reverse (2110222001), we get a palindrome (12132423121).

The spelling of 10022201120 in words is "ten billion, twenty-two million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 62638757 125277514 250555028 313193785 501110056 626387570 1002220112 1252775140 2004440224 2505550280 5011100560 10022201120