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23405500261 = 11131789108179
BaseRepresentation
bin10101110011000100…
…111001011101100101
32020102011120121101001
4111303010321131211
5340413302002021
614430301033301
71456003320043
oct256304713545
966364517331
1023405500261
119a20881850
124652555831
1322900a8150
1411c06c5393
1591ec0d091
hex573139765

23405500261 has 32 divisors (see below), whose sum is σ = 29442268800. Its totient is φ = 18277754880.

The previous prime is 23405500259. The next prime is 23405500277. The reversal of 23405500261 is 16200550432.

23405500261 is a nontrivial binomial coefficient, being equal to C(216359, 2).

It is not a de Polignac number, because 23405500261 - 21 = 23405500259 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23405500241) 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 31 ways as a sum of consecutive naturals, for example, 162270 + ... + 270448.

It is an arithmetic number, because the mean of its divisors is an integer number (920070900).

Almost surely, 223405500261 is an apocalyptic number.

23405500261 is the 216358-th triangular number.

23405500261 is the 72120-th centered nonagonal number.

It is an amenable number.

23405500261 is a deficient number, since it is larger than the sum of its proper divisors (6036768539).

23405500261 is a wasteful number, since it uses less digits than its factorization.

23405500261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108309.

The product of its (nonzero) digits is 7200, while the sum is 28.

The spelling of 23405500261 in words is "twenty-three billion, four hundred five million, five hundred thousand, two hundred sixty-one".

Divisors: 1 11 13 17 89 143 187 221 979 1157 1513 2431 12727 16643 19669 108179 216359 1189969 1406327 1839043 9627931 15469597 20229473 23907559 105907241 125163103 163674827 262983149 1376794133 1800423097 2127772751 23405500261