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100023132123 = 346718430649
BaseRepresentation
bin101110100100111010…
…1111101111111011011
3100120011210011120120000
41131021311331333123
53114321410211443
6113541110504043
710140444411045
oct1351165757733
9316153146500
10100023132123
11394684a5662
1217475665023
13958054b6a5
144bac162a95
1529062a88d3
hex1749d7dfdb

100023132123 has 20 divisors (see below), whose sum is σ = 151647388200. Its totient is φ = 65686829472.

The previous prime is 100023132103. The next prime is 100023132173. The reversal of 100023132123 is 321231320001.

It is not a de Polignac number, because 100023132123 - 214 = 100023115739 is a prime.

It is a super-2 number, since 2×1000231321232 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100023132096 and 100023132105.

It is not an unprimeable number, because it can be changed into a prime (100023132103) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9209898 + ... + 9220751.

It is an arithmetic number, because the mean of its divisors is an integer number (7582369410).

Almost surely, 2100023132123 is an apocalyptic number.

100023132123 is a deficient number, since it is larger than the sum of its proper divisors (51624256077).

100023132123 is an equidigital number, since it uses as much as digits as its factorization.

100023132123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18430728 (or 18430719 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100023132123 its reverse (321231320001), we get a palindrome (421254452124).

The spelling of 100023132123 in words is "one hundred billion, twenty-three million, one hundred thirty-two thousand, one hundred twenty-three".

Divisors: 1 3 9 27 67 81 201 603 1809 5427 18430649 55291947 165875841 497627523 1234853483 1492882569 3704560449 11113681347 33341044041 100023132123