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10313064424125 = 325373125577649
BaseRepresentation
bin1001011000010011001010…
…0010101010001010111101
31100111220211012011210022200
42112010302202222022331
52322432123443033000
633533431214102113
72113044231136011
oct226046242521275
940456735153280
1010313064424125
113316823008551
1211a68a84aa939
1359a6967c46b8
142792253aa541
1512d3ee52c500
hex961328aa2bd

10313064424125 has 48 divisors (see below), whose sum is σ = 18845689090800. Its totient is φ = 5424954393600.

The previous prime is 10313064424111. The next prime is 10313064424141. The reversal of 10313064424125 is 52142446031301.

10313064424125 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 3 + 0 + 644 + 2 + 4 + 1 + 2 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6860402462169 + 3452661961956 = 2619237^2 + 1858134^2 .

It is not a de Polignac number, because 10313064424125 - 223 = 10313056035517 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10313064424125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62706700 + ... + 62870949.

It is an arithmetic number, because the mean of its divisors is an integer number (392618522725).

Almost surely, 210313064424125 is an apocalyptic number.

10313064424125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10313064424125 is a deficient number, since it is larger than the sum of its proper divisors (8532624666675).

10313064424125 is a wasteful number, since it uses less digits than its factorization.

10313064424125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125577743 (or 125577730 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 10313064424125 in words is "ten trillion, three hundred thirteen billion, sixty-four million, four hundred twenty-four thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 73 75 125 219 225 365 375 657 1095 1125 1825 3285 5475 9125 16425 27375 82125 125577649 376732947 627888245 1130198841 1883664735 3139441225 5650994205 9167168377 9418323675 15697206125 27501505131 28254971025 45835841885 47091618375 82504515393 137507525655 141274855125 229179209425 412522576965 687537628275 1145896047125 2062612884825 3437688141375 10313064424125