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23105541315054 = 2311532261747623
BaseRepresentation
bin1010100000011101011011…
…00101010001100111101110
310000210212102220100002120110
411100032231211101213232
511012030122034040204
6121050312242200450
74603214565451662
oct520165545214756
9100725386302513
1023105541315054
1173a9006791930
122712013053126
13cb7ac6671303
1459c4581048a2
152a1065045889
hex1503ad9519ee

23105541315054 has 96 divisors (see below), whose sum is σ = 51401921243904. Its totient is φ = 6866802858240.

The previous prime is 23105541315047. The next prime is 23105541315061. The reversal of 23105541315054 is 45051314550132.

It is an interprime number because it is at equal distance from previous prime (23105541315047) and next prime (23105541315061).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 485152287 + ... + 485199909.

It is an arithmetic number, because the mean of its divisors is an integer number (535436679624).

Almost surely, 223105541315054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23105541315054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25700960621952).

23105541315054 is an abundant number, since it is smaller than the sum of its proper divisors (28296379928850).

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

23105541315054 is a wasteful number, since it uses less digits than its factorization.

23105541315054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50362 (or 50309 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 39.

Adding to 23105541315054 its reverse (45051314550132), we get a palindrome (68156855865186).

The spelling of 23105541315054 in words is "twenty-three trillion, one hundred five billion, five hundred forty-one million, three hundred fifteen thousand, fifty-four".

Divisors: 1 2 3 6 11 22 33 53 66 106 159 318 583 1166 1749 2617 2809 3498 5234 5618 7851 8427 15702 16854 28787 30899 47623 57574 61798 86361 92697 95246 138701 142869 172722 185394 277402 285738 416103 523853 832206 1047706 1525711 1571559 2524019 3051422 3143118 4577133 5048038 7351153 7572057 9154266 14702306 15144114 22053459 27764209 44106918 55528418 80862683 83292627 124629391 133773007 161725366 166585254 242588049 249258782 267546014 373888173 401319021 485176098 747776346 802638042 1370923301 1471503077 2741846602 2943006154 4112769903 4414509231 6605357723 8225539806 8829018462 13210715446 19816073169 39632146338 72658934953 145317869906 217976804859 350083959319 435953609718 700167918638 1050251877957 2100503755914 3850923552509 7701847105018 11552770657527 23105541315054