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10242563303104 = 261117855829153
BaseRepresentation
bin1001010100001100100001…
…0110001110011011000000
31100021011211211212202122021
42111003020112032123000
52320303232201144404
633441211342251224
72105000160403066
oct225031026163300
940234754782567
1010242563303104
113299934a63880
1211950b1886b14
13593b3c5c1942
14275a57dca036
1512b674e31454
hex950c858e6c0

10242563303104 has 56 divisors (see below), whose sum is σ = 23477105352528. Its totient is φ = 4381845258240.

The previous prime is 10242563303101. The next prime is 10242563303107. The reversal of 10242563303104 is 40130336524201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10242563303101) and next prime (10242563303107).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 10242563303104.

It is not an unprimeable number, because it can be changed into a prime (10242563303101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 427902609 + ... + 427926544.

Almost surely, 210242563303104 is an apocalyptic number.

It is an amenable number.

10242563303104 is an abundant number, since it is smaller than the sum of its proper divisors (13234542049424).

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

10242563303104 is a wasteful number, since it uses less digits than its factorization.

10242563303104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855829193 (or 855829183 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

Adding to 10242563303104 its reverse (40130336524201), we get a palindrome (50372899827305).

The spelling of 10242563303104 in words is "ten trillion, two hundred forty-two billion, five hundred sixty-three million, three hundred three thousand, one hundred four".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 136 176 187 272 352 374 544 704 748 1088 1496 2992 5984 11968 855829153 1711658306 3423316612 6846633224 9414120683 13693266448 14549095601 18828241366 27386532896 29098191202 37656482732 54773065792 58196382404 75312965464 116392764808 150625930928 160040051611 232785529616 301251861856 320080103222 465571059232 602503723712 640160206444 931142118464 1280320412888 2560640825776 5121281651552 10242563303104