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102330302000 = 2453112945319
BaseRepresentation
bin101111101001101011…
…1000111111000110000
3100210010120111221122012
41133103113013320300
53134033024131000
6115002045302052
710251561133613
oct1372327077060
9323116457565
10102330302000
113a441873523
12179ba264928
13985a534174
144d4a73a17a
1529ddae4735
hex17d35c7e30

102330302000 has 80 divisors (see below), whose sum is σ = 247659297600. Its totient is φ = 40894963200.

The previous prime is 102330301963. The next prime is 102330302003. The reversal of 102330302000 is 203033201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1023303020002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102330302003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2235341 + ... + 2280659.

It is an arithmetic number, because the mean of its divisors is an integer number (3095741220).

Almost surely, 2102330302000 is an apocalyptic number.

102330302000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102330302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123829648800).

102330302000 is an abundant number, since it is smaller than the sum of its proper divisors (145328995600).

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

102330302000 is a wasteful number, since it uses less digits than its factorization.

102330302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46471 (or 46455 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 102330302000 its reverse (203033201), we get a palindrome (102533335201).

The spelling of 102330302000 in words is "one hundred two billion, three hundred thirty million, three hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1129 2000 2258 4516 5645 9032 11290 18064 22580 28225 45160 45319 56450 90320 90638 112900 141125 181276 225800 226595 282250 362552 451600 453190 564500 725104 906380 1129000 1132975 1812760 2258000 2265950 3625520 4531900 5664875 9063800 11329750 18127600 22659500 45319000 51165151 90638000 102330302 204660604 255825755 409321208 511651510 818642416 1023303020 1279128775 2046606040 2558257550 4093212080 5116515100 6395643875 10233030200 12791287750 20466060400 25582575500 51165151000 102330302000