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1012003202001 = 311671373333367
BaseRepresentation
bin11101011101000000001…
…01110110001111010001
310120202011020120021011010
432232200011312033101
5113040040304431001
62052524032441133
7133054245200031
oct16564005661721
93522136507133
101012003202001
11360208474250
121441719a91a9
137457bcb192c
1436da46598c1
151b4d041a8d6
hexeba01763d1

1012003202001 has 32 divisors (see below), whose sum is σ = 1495067470848. Its totient is φ = 603739160640.

The previous prime is 1012003201939. The next prime is 1012003202003. The reversal of 1012003202001 is 1002023002101.

1012003202001 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1012003202001 - 27 = 1012003201873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1012003202003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2869020 + ... + 3202386.

It is an arithmetic number, because the mean of its divisors is an integer number (46720858464).

Almost surely, 21012003202001 is an apocalyptic number.

1012003202001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1012003202001 is a deficient number, since it is larger than the sum of its proper divisors (483064268847).

1012003202001 is a wasteful number, since it uses less digits than its factorization.

1012003202001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334821.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1012003202001 its reverse (1002023002101), we get a palindrome (2014026204102).

The spelling of 1012003202001 in words is "one trillion, twelve billion, three million, two hundred two thousand, one".

Divisors: 1 3 11 33 67 201 737 1373 2211 4119 15103 45309 91991 275973 333367 1000101 1011901 3035703 3667037 11001111 22335589 67006767 245691479 457712891 737074437 1373138673 5034841801 15104525403 30666763697 92000291091 337334400667 1012003202001