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102282465285 = 3657111317297
BaseRepresentation
bin101111101000010000…
…0101001000000000101
3100210000020111121000000
41133100200221000011
53133433302342120
6114553220111513
710250440416150
oct1372040510005
9323006447000
10102282465285
113a417870050
12179a6235599
139850655610
144d44246c97
1529d97e5990
hex17d0829005

102282465285 has 672 divisors, whose sum is σ = 265176559872. Its totient is φ = 36548444160.

The previous prime is 102282465209. The next prime is 102282465289. The reversal of 102282465285 is 582564282201.

102282465285 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 82 + 46 + 528 + 5 = 666.

It is not a de Polignac number, because 102282465285 - 27 = 102282465157 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 102282465285.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102282465289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 1054458357 + ... + 1054458453.

It is an arithmetic number, because the mean of its divisors is an integer number (394607976).

Almost surely, 2102282465285 is an apocalyptic number.

102282465285 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102282465285 is an abundant number, since it is smaller than the sum of its proper divisors (162894094587).

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

102282465285 is a wasteful number, since it uses less digits than its factorization.

102282465285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 102282465285 in words is "one hundred two billion, two hundred eighty-two million, four hundred sixty-five thousand, two hundred eighty-five".