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100011010323 = 37237101182057
BaseRepresentation
bin101110100100100011…
…1101110100100010011
3100120010221100201120110
41131021013232210103
53114310304312243
6113535555012403
710140236363400
oct1351107564423
9316127321513
10100011010323
1139461676344
121747159a103
13957ab96123
144baa6c92a7
1529051b1e33
hex17491ee913

100011010323 has 48 divisors (see below), whose sum is σ = 160889752224. Its totient is φ = 55053734400.

The previous prime is 100011010321. The next prime is 100011010369. The reversal of 100011010323 is 323010110001.

It is not a de Polignac number, because 100011010323 - 21 = 100011010321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100011010299 and 100011010308.

It is not an unprimeable number, because it can be changed into a prime (100011010321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 458311 + ... + 640367.

It is an arithmetic number, because the mean of its divisors is an integer number (3351869838).

Almost surely, 2100011010323 is an apocalyptic number.

100011010323 is a deficient number, since it is larger than the sum of its proper divisors (60878741901).

100011010323 is a wasteful number, since it uses less digits than its factorization.

100011010323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182212 (or 182205 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 100011010323 its reverse (323010110001), we get a palindrome (423021120324).

The spelling of 100011010323 in words is "one hundred billion, eleven million, ten thousand, three hundred twenty-three".

Divisors: 1 3 7 21 37 49 101 111 147 259 303 707 777 1813 2121 3737 4949 5439 11211 14847 26159 78477 182057 183113 546171 549339 1274399 3823197 6736109 8920793 18387757 20208327 26762379 47152763 55163271 128714299 141458289 330069341 386142897 680347009 901000093 990208023 2041041027 2703000279 4762429063 14287287189 33337003441 100011010323