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10114224100 = 2252101142241
BaseRepresentation
bin10010110101101101…
…01100111111100100
3222002212200211010121
421122312230333210
5131203220132400
64351342531324
7505432325551
oct113266547744
928085624117
1010114224100
1143202412a2
121b63296b44
13c525713b6
146bd3b7a28
153e2e2221a
hex25adacfe4

10114224100 has 18 divisors (see below), whose sum is σ = 21947866514. Its totient is φ = 4045689600.

The previous prime is 10114224037. The next prime is 10114224119. The reversal of 10114224100 is 142241101.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 240622144 + 9873601956 = 15512^2 + 99366^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50571021 + ... + 50571220.

Almost surely, 210114224100 is an apocalyptic number.

10114224100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10114224100 is an abundant number, since it is smaller than the sum of its proper divisors (11833642414).

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

10114224100 is a wasteful number, since it uses less digits than its factorization.

10114224100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101142255 (or 101142248 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10114224100 its reverse (142241101), we get a palindrome (10256465201).

The spelling of 10114224100 in words is "ten billion, one hundred fourteen million, two hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101142241 202284482 404568964 505711205 1011422410 2022844820 2528556025 5057112050 10114224100