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102323300000 = 25558911497
BaseRepresentation
bin101111101001011110…
…0011010011010100000
3100210010002100012200212
41133102330122122200
53134024231100000
6115001235233252
710251444461615
oct1372274323240
9323102305625
10102323300000
113a438920849
12179b7a48828
139858c5207c
144d4983650c
1529dd1aec35
hex17d2f1a6a0

102323300000 has 144 divisors (see below), whose sum is σ = 254646435960. Its totient is φ = 40465920000.

The previous prime is 102323299927. The next prime is 102323300069. The reversal of 102323300000 is 3323201.

It can be written as a sum of positive squares in 12 ways, for example, as 59074274704 + 43249025296 = 243052^2 + 207964^2 .

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 23 ways as a sum of consecutive naturals, for example, 8894252 + ... + 8905748.

Almost surely, 2102323300000 is an apocalyptic number.

102323300000 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 102323300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127323217980).

102323300000 is an abundant number, since it is smaller than the sum of its proper divisors (152323135960).

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

102323300000 is an frugal number, since it uses more digits than its factorization.

102323300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11621 (or 11593 counting only the distinct ones).

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

Adding to 102323300000 its reverse (3323201), we get a palindrome (102326623201).

The spelling of 102323300000 in words is "one hundred two billion, three hundred twenty-three million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 89 100 125 160 178 200 250 356 400 445 500 625 712 800 890 1000 1250 1424 1780 2000 2225 2500 2848 3125 3560 4000 4450 5000 6250 7120 8900 10000 11125 11497 12500 14240 17800 20000 22250 22994 25000 35600 44500 45988 50000 55625 57485 71200 89000 91976 100000 111250 114970 178000 183952 222500 229940 278125 287425 356000 367904 445000 459880 556250 574850 890000 919760 1023233 1112500 1149700 1437125 1780000 1839520 2046466 2225000 2299400 2874250 4092932 4450000 4598800 5116165 5748500 7185625 8185864 8900000 9197600 10232330 11497000 14371250 16371728 20464660 22994000 25580825 28742500 32743456 35928125 40929320 45988000 51161650 57485000 71856250 81858640 102323300 114970000 127904125 143712500 163717280 204646600 229940000 255808250 287425000 409293200 511616500 574850000 639520625 818586400 1023233000 1149700000 1279041250 2046466000 2558082500 3197603125 4092932000 5116165000 6395206250 10232330000 12790412500 20464660000 25580825000 51161650000 102323300000