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102503511342 = 23331331184993
BaseRepresentation
bin101111101110110101…
…1110111010100101110
3100210120122102220012000
41133131223313110232
53134411344330332
6115031153553130
710256063320251
oct1373553672456
9323518386160
10102503511342
113a520618241
1217a482757a6
13988739b1bb
144d65747098
1529ede0ab7c
hex17ddaf752e

102503511342 has 64 divisors (see below), whose sum is σ = 235845150720. Its totient is φ = 32965574400.

The previous prime is 102503511323. The next prime is 102503511347. The reversal of 102503511342 is 243115305201.

102503511342 is a `hidden beast` number, since 1 + 0 + 2 + 503 + 5 + 113 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102503511347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 461598 + ... + 646590.

It is an arithmetic number, because the mean of its divisors is an integer number (3685080480).

Almost surely, 2102503511342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102503511342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117922575360).

102503511342 is an abundant number, since it is smaller than the sum of its proper divisors (133341639378).

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

102503511342 is a wasteful number, since it uses less digits than its factorization.

102503511342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185366 (or 185360 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 102503511342 its reverse (243115305201), we get a palindrome (345618816543).

The spelling of 102503511342 in words is "one hundred two billion, five hundred three million, five hundred eleven thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 331 558 662 837 993 1674 1986 2979 5958 8937 10261 17874 20522 30783 61566 92349 184698 184993 277047 369986 554094 554979 1109958 1664937 3329874 4994811 5734783 9989622 11469566 17204349 34408698 51613047 61232683 103226094 122465366 154839141 183698049 309678282 367396098 551094147 1102188294 1653282441 1898213173 3306564882 3796426346 5694639519 11389279038 17083918557 34167837114 51251755671 102503511342