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1002300020000 = 255450115001
BaseRepresentation
bin11101001010111011011…
…11001001010100100000
310112211010000022112202222
432211131233021110200
5112410202301120000
62044241131530212
7132261633412466
oct16453557112440
93484100275688
101002300020000
1135708925aa74
121423042b9968
1373693949b16
1436723abc836
151b11363da85
hexe95dbc9520

1002300020000 has 60 divisors (see below), whose sum is σ = 2465808443406. Its totient is φ = 400920000000.

The previous prime is 1002300019993. The next prime is 1002300020003. The reversal of 1002300020000 is 200032001.

1002300020000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 26227154704 + 976072865296 = 161948^2 + 987964^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 1002300020000.

It is not an unprimeable number, because it can be changed into a prime (1002300020003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 25037501 + ... + 25077500.

Almost surely, 21002300020000 is an apocalyptic number.

1002300020000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002300020000 is an abundant number, since it is smaller than the sum of its proper divisors (1463508423406).

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

1002300020000 is an frugal number, since it uses more digits than its factorization.

1002300020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50115031 (or 50115008 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

Adding to 1002300020000 its reverse (200032001), we get a palindrome (1002500052001).

The spelling of 1002300020000 in words is "one trillion, two billion, three hundred million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 20000 50115001 100230002 200460004 250575005 400920008 501150010 801840016 1002300020 1252875025 1603680032 2004600040 2505750050 4009200080 5011500100 6264375125 8018400160 10023000200 12528750250 20046000400 25057500500 31321875625 40092000800 50115001000 62643751250 100230002000 125287502500 200460004000 250575005000 501150010000 1002300020000