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10011320100 = 22325211123689
BaseRepresentation
bin10010101001011100…
…01001111100100100
3221211201001202101100
421110232021330210
5131000344220400
64333225200100
7503042550105
oct112456117444
927751052340
1010011320100
114278146a71
121b34930030
13c37151b62
146ad86c3ac
153d8d97100
hex254b89f24

10011320100 has 54 divisors (see below), whose sum is σ = 31379929490. Its totient is φ = 2669685120.

The previous prime is 10011320093. The next prime is 10011320113. The reversal of 10011320100 is 102311001.

It can be written as a sum of positive squares in 3 ways, for example, as 116964 + 10011203136 = 342^2 + 100056^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5560945 + ... + 5562744.

Almost surely, 210011320100 is an apocalyptic number.

10011320100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011320100 is an abundant number, since it is smaller than the sum of its proper divisors (21368609390).

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

10011320100 is a wasteful number, since it uses less digits than its factorization.

10011320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11123709 (or 11123699 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10011320100 its reverse (102311001), we get a palindrome (10113631101).

Subtracting from 10011320100 its reverse (102311001), we obtain a palindrome (9909009099).

The spelling of 10011320100 in words is "ten billion, eleven million, three hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 11123689 22247378 33371067 44494756 55618445 66742134 100113201 111236890 133484268 166855335 200226402 222473780 278092225 333710670 400452804 500566005 556184450 667421340 834276675 1001132010 1112368900 1668553350 2002264020 2502830025 3337106700 5005660050 10011320100