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102123203200 = 275231913501
BaseRepresentation
bin101111100011100000…
…1000110101010000000
3100202121010211020111021
41133013001012222000
53133122020000300
6114525330355224
710243464622204
oct1370701065200
9322533736437
10102123203200
113a345982097
1217960a2bb14
1398266629b5
144d2b02ab04
1529ca836d1a
hex17c7046a80

102123203200 has 48 divisors (see below), whose sum is σ = 252276233310. Its totient is φ = 40849280000.

The previous prime is 102123203177. The next prime is 102123203207. The reversal of 102123203200 is 2302321201.

It can be written as a sum of positive squares in 3 ways, for example, as 68967163456 + 33156039744 = 262616^2 + 182088^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (102123203207) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15953551 + ... + 15959950.

Almost surely, 2102123203200 is an apocalyptic number.

102123203200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102123203200 is an abundant number, since it is smaller than the sum of its proper divisors (150153030110).

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

102123203200 is an equidigital number, since it uses as much as digits as its factorization.

102123203200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31913525 (or 31913508 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 102123203200 its reverse (2302321201), we get a palindrome (104425524401).

The spelling of 102123203200 in words is "one hundred two billion, one hundred twenty-three million, two hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 31913501 63827002 127654004 159567505 255308008 319135010 510616016 638270020 797837525 1021232032 1276540040 1595675050 2042464064 2553080080 3191350100 4084928128 5106160160 6382700200 10212320320 12765400400 20424640640 25530800800 51061601600 102123203200