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102552111516 = 22317618299941
BaseRepresentation
bin101111110000010010…
…1010000100110011100
3100210201000220001002110
41133200211100212130
53140011320032031
6115040051354020
710260223364601
oct1374045204634
9323630801073
10102552111516
113a545aa2278
1217a605b2910
1398944863ba
144d6bd986a8
152a0330ac46
hex17e095099c

102552111516 has 96 divisors (see below), whose sum is σ = 257854121280. Its totient is φ = 31604428800.

The previous prime is 102552111509. The next prime is 102552111517. The reversal of 102552111516 is 615111255201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102552111517) 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 31 ways as a sum of consecutive naturals, for example, 10311106 + ... + 10321046.

It is an arithmetic number, because the mean of its divisors is an integer number (2685980430).

Almost surely, 2102552111516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102552111516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128927060640).

102552111516 is an abundant number, since it is smaller than the sum of its proper divisors (155302009764).

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

102552111516 is a wasteful number, since it uses less digits than its factorization.

102552111516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10855 (or 10853 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 30.

Adding to 102552111516 its reverse (615111255201), we get a palindrome (717663366717).

The spelling of 102552111516 in words is "one hundred two billion, five hundred fifty-two million, one hundred eleven thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 12 17 34 51 61 68 102 122 183 204 244 366 732 829 1037 1658 2074 2487 3111 3316 4148 4974 6222 9941 9948 12444 14093 19882 28186 29823 39764 42279 50569 56372 59646 84558 101138 119292 151707 168997 169116 202276 303414 337994 506991 606401 606828 675988 859673 1013982 1212802 1719346 1819203 2027964 2425604 2579019 3438692 3638406 5158038 7276812 8241089 10308817 10316076 16482178 20617634 24723267 30926451 32964356 41235268 49446534 61852902 98893068 123705804 140098513 280197026 420295539 502706429 560394052 840591078 1005412858 1508119287 1681182156 2010825716 3016238574 6032477148 8546009293 17092018586 25638027879 34184037172 51276055758 102552111516