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10001132100 = 2233523704123
BaseRepresentation
bin10010101000001110…
…10010101001000100
3221210222220011002000
421110013102221010
5130440242211400
64332222545300
7502560135351
oct112407225104
927728804060
1010001132100
114272418633
121b31438230
13c34cc585b
146ac379628
153d8033600
hex2541d2a44

10001132100 has 72 divisors (see below), whose sum is σ = 32151796320. Its totient is φ = 2666967840.

The previous prime is 10001132093. The next prime is 10001132101. The reversal of 10001132100 is 123110001.

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

It is not an unprimeable number, because it can be changed into a prime (10001132101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1849362 + ... + 1854761.

Almost surely, 210001132100 is an apocalyptic number.

10001132100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001132100 is an abundant number, since it is smaller than the sum of its proper divisors (22150664220).

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

10001132100 is a wasteful number, since it uses less digits than its factorization.

10001132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3704146 (or 3704133 counting only the distinct ones).

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

Adding to 10001132100 its reverse (123110001), we get a palindrome (10124242101).

The spelling of 10001132100 in words is "ten billion, one million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 3704123 7408246 11112369 14816492 18520615 22224738 33337107 37041230 44449476 55561845 66674214 74082460 92603075 100011321 111123690 133348428 166685535 185206150 200022642 222247380 277809225 333371070 370412300 400045284 500056605 555618450 666742140 833427675 1000113210 1111236900 1666855350 2000226420 2500283025 3333710700 5000566050 10001132100