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1203032100013 = 73197124966977
BaseRepresentation
bin10001100000011010010…
…011010000110010101101
311021000020101010202020221
4101200122103100302231
5124202302204200023
62320355413011341
7152626154061532
oct21403223206255
94230211122227
101203032100013
11424226291777
121751a5023b51
13895a382b023
14423270c8d89
1521460ec085d
hex1181a4d0cad

1203032100013 has 16 divisors (see below), whose sum is σ = 1226702070000. Its totient is φ = 1179566309376.

The previous prime is 1203032099947. The next prime is 1203032100041. The reversal of 1203032100013 is 3100012303021.

It can be written as a sum of positive squares in 8 ways, for example, as 101344489 + 1202930755524 = 10067^2 + 1096782^2 .

It is a cyclic number.

It is not a de Polignac number, because 1203032100013 - 233 = 1194442165421 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1203032100013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1203032100073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17928381 + ... + 17995357.

It is an arithmetic number, because the mean of its divisors is an integer number (76668879375).

Almost surely, 21203032100013 is an apocalyptic number.

It is an amenable number.

1203032100013 is a deficient number, since it is larger than the sum of its proper divisors (23669969987).

1203032100013 is a wasteful number, since it uses less digits than its factorization.

1203032100013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68496.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 1203032100013 its reverse (3100012303021), we get a palindrome (4303044403034).

The spelling of 1203032100013 in words is "one trillion, two hundred three billion, thirty-two million, one hundred thousand, thirteen".

Divisors: 1 73 197 1249 14381 66977 91177 246053 4889321 13194469 17961869 83654273 963196237 6106761929 16479891781 1203032100013