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100031311323 = 32101439250673
BaseRepresentation
bin101110100101001010…
…1001010110111011011
3100120012100120010022100
41131022111022313123
53114331003430243
6113542002054443
710140604055106
oct1351225126733
9316170503270
10100031311323
1139472081829
121747834a423
139582153558
144bad29173d
152906d720d3
hex174a54addb

100031311323 has 24 divisors (see below), whose sum is σ = 146253238560. Its totient is φ = 65876601600.

The previous prime is 100031311301. The next prime is 100031311333. The reversal of 100031311323 is 323113130001.

It is a happy number.

100031311323 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 31 + 311 + 323 = 666.

It is not a de Polignac number, because 100031311323 - 25 = 100031311291 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100031311296 and 100031311305.

It is not an unprimeable number, because it can be changed into a prime (100031311333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 273715 + ... + 524387.

It is an arithmetic number, because the mean of its divisors is an integer number (6093884940).

Almost surely, 2100031311323 is an apocalyptic number.

100031311323 is a deficient number, since it is larger than the sum of its proper divisors (46221927237).

100031311323 is a wasteful number, since it uses less digits than its factorization.

100031311323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251219 (or 251216 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 100031311323 its reverse (323113130001), we get a palindrome (423144441324).

The spelling of 100031311323 in words is "one hundred billion, thirty-one million, three hundred eleven thousand, three hundred twenty-three".

Divisors: 1 3 9 101 303 439 909 1317 3951 44339 133017 250673 399051 752019 2256057 25317973 75953919 110045447 227861757 330136341 990409023 11114590147 33343770441 100031311323