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102124414242 = 232127110940283
BaseRepresentation
bin101111100011100010…
…1101110010100100010
3100202121020002202201200
41133013011232110202
53133122322223432
6114525412342030
710243511125014
oct1370705562442
9322536082650
10102124414242
113a346629a54
1217961314916
139826997ca6
144d2b2641b4
1529ca9c5a7c
hex17c716e522

102124414242 has 48 divisors (see below), whose sum is σ = 223218478080. Its totient is φ = 33742136736.

The previous prime is 102124414241. The next prime is 102124414243. The reversal of 102124414242 is 242414421201.

102124414242 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 2 + 4 + 414 + 242 = 666.

It is an interprime number because it is at equal distance from previous prime (102124414241) and next prime (102124414243).

It is a super-2 number, since 2×1021244142422 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102124414241) 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 23 ways as a sum of consecutive naturals, for example, 2515033 + ... + 2555315.

It is an arithmetic number, because the mean of its divisors is an integer number (4650384960).

Almost surely, 2102124414242 is an apocalyptic number.

102124414242 is an abundant number, since it is smaller than the sum of its proper divisors (121094063838).

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

102124414242 is a wasteful number, since it uses less digits than its factorization.

102124414242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41527 (or 41524 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 102124414242 its reverse (242414421201), we get a palindrome (344538835443).

The spelling of 102124414242 in words is "one hundred two billion, one hundred twenty-four million, four hundred fourteen thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 127 254 381 762 1109 1143 2218 2286 3327 6654 9981 19962 40283 80566 120849 140843 241698 281686 362547 422529 725094 845058 1267587 2535174 5115941 10231882 15347823 30695646 44673847 46043469 89347694 92086938 134021541 268043082 402064623 804129246 5673578569 11347157138 17020735707 34041471414 51062207121 102124414242