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10221310100 = 2252102213101
BaseRepresentation
bin10011000010011110…
…01101000010010100
3222101100012100111202
421201033031002110
5131413123410400
64410130052032
7511202462621
oct114117150224
928340170452
1010221310100
114375732621
121b9311a018
13c6b7c62b1
146cd6d1348
153ec5264d5
hex2613cd094

10221310100 has 18 divisors (see below), whose sum is σ = 22180243134. Its totient is φ = 4088524000.

The previous prime is 10221310093. The next prime is 10221310103. The reversal of 10221310100 is 101312201.

It can be written as a sum of positive squares in 3 ways, for example, as 2833219984 + 7388090116 = 53228^2 + 85954^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221310103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51106451 + ... + 51106650.

Almost surely, 210221310100 is an apocalyptic number.

10221310100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221310100 is an abundant number, since it is smaller than the sum of its proper divisors (11958933034).

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

10221310100 is a wasteful number, since it uses less digits than its factorization.

10221310100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102213115 (or 102213108 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10221310100 its reverse (101312201), we get a palindrome (10322622301).

The spelling of 10221310100 in words is "ten billion, two hundred twenty-one million, three hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 102213101 204426202 408852404 511065505 1022131010 2044262020 2555327525 5110655050 10221310100