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102333700320 = 2535213195209
BaseRepresentation
bin101111101001110010…
…0000101100011100000
3100210010210220121020220
41133103210011203200
53134034411402240
6115002250203040
710251632046345
oct1372344054340
9323123817226
10102333700320
113a443784755
12179bb423480
13985b153bc7
144d4ad827cc
1529de0665d0
hex17d39058e0

102333700320 has 48 divisors (see below), whose sum is σ = 322351157520. Its totient is φ = 27288986624.

The previous prime is 102333700319. The next prime is 102333700321. The reversal of 102333700320 is 23007333201.

It is a happy number.

102333700320 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (102333700319) and next prime (102333700321).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102333700321) 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 7 ways as a sum of consecutive naturals, for example, 106597125 + ... + 106598084.

It is an arithmetic number, because the mean of its divisors is an integer number (6715649115).

Almost surely, 2102333700320 is an apocalyptic number.

102333700320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102333700320 is an abundant number, since it is smaller than the sum of its proper divisors (220017457200).

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

102333700320 is a wasteful number, since it uses less digits than its factorization.

102333700320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213195227 (or 213195219 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 24.

The spelling of 102333700320 in words is "one hundred two billion, three hundred thirty-three million, seven hundred thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 213195209 426390418 639585627 852780836 1065976045 1279171254 1705561672 2131952090 2558342508 3197928135 3411123344 4263904180 5116685016 6395856270 6822246688 8527808360 10233370032 12791712540 17055616720 20466740064 25583425080 34111233440 51166850160 102333700320