Search a number
-
+
102241002122415 = 32513739932325367
BaseRepresentation
bin10111001111110011010110…
…100111001110110010101111
3111102000010220020011200202200
4113033303112213032302233
5101400104033020404130
61001240511251352543
730351445225655652
oct2717632647166257
9442003806150680
10102241002122415
112a63919030a642
12b572ba88b2753
13450839257cc80
141b366c3091899
15bc47ca6a8760
hex5cfcd69cecaf

102241002122415 has 96 divisors (see below), whose sum is σ = 191136157954560. Its totient is φ = 50258547871488.

The previous prime is 102241002122393. The next prime is 102241002122419. The reversal of 102241002122415 is 514221200142201.

102241002122415 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 410 + 0 + 2 + 1 + 2 + 241 + 5 = 666.

It is not a de Polignac number, because 102241002122415 - 212 = 102241002118319 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102241002122419) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4030460062 + ... + 4030485428.

It is an arithmetic number, because the mean of its divisors is an integer number (1991001645360).

Almost surely, 2102241002122415 is an apocalyptic number.

102241002122415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

102241002122415 is a deficient number, since it is larger than the sum of its proper divisors (88895155832145).

102241002122415 is a wasteful number, since it uses less digits than its factorization.

102241002122415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35453 (or 35450 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 102241002122415 its reverse (514221200142201), we get a palindrome (616462202264616).

The spelling of 102241002122415 in words is "one hundred two trillion, two hundred forty-one billion, two million, one hundred twenty-two thousand, four hundred fifteen".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 739 2217 3695 6651 9323 9607 11085 25367 27969 28821 33255 46615 48035 76101 83907 86463 121199 126835 139845 144105 228303 329771 363597 380505 419535 432315 605995 989313 1090791 1141515 1648855 1817985 2967939 4946565 5453955 6889697 14839695 18746213 20669091 34448485 56238639 62007273 89566061 93731065 103345455 168715917 236496541 243700769 268698183 281193195 310036365 447830305 709489623 731102307 806094549 843579585 1182482705 1218503845 1343490915 2128468869 2193306921 3074455033 3547448115 3655511535 4030472745 9223365099 10642344345 10966534605 15372275165 27670095297 46116825495 138350476485 174770943799 524312831397 873854718995 1572938494191 2272022269387 2621564156985 6816066808161 7864692470955 11360111346935 20448200424483 34080334040805 102241002122415