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102312430000 = 245411930113
BaseRepresentation
bin101111101001001001…
…0111100100110110000
3100210002022212221212021
41133102102330212300
53134013440230000
6115000210241224
710251253206634
oct1372222744660
9323068787767
10102312430000
113a432776a80
12179b4286214
139856917511
144d48206dc4
1529dc26411a
hex17d24bc9b0

102312430000 has 100 divisors (see below), whose sum is σ = 270227880648. Its totient is φ = 37204480000.

The previous prime is 102312429941. The next prime is 102312430013. The reversal of 102312430000 is 34213201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 355057 + ... + 575056.

Almost surely, 2102312430000 is an apocalyptic number.

102312430000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102312430000 is an abundant number, since it is smaller than the sum of its proper divisors (167915450648).

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

102312430000 is an equidigital number, since it uses as much as digits as its factorization.

102312430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930152 (or 930131 counting only the distinct ones).

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

Adding to 102312430000 its reverse (34213201), we get a palindrome (102346643201).

The spelling of 102312430000 in words is "one hundred two billion, three hundred twelve million, four hundred thirty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 11000 13750 22000 27500 55000 110000 930113 1860226 3720452 4650565 7440904 9301130 10231243 14881808 18602260 20462486 23252825 37204520 40924972 46505650 51156215 74409040 81849944 93011300 102312430 116264125 163699888 186022600 204624860 232528250 255781075 372045200 409249720 465056500 511562150 581320625 818499440 930113000 1023124300 1162641250 1278905375 1860226000 2046248600 2325282500 2557810750 4092497200 4650565000 5115621500 6394526875 9301130000 10231243000 12789053750 20462486000 25578107500 51156215000 102312430000