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17990111100013 = 1312953106836617
BaseRepresentation
bin1000001011100101001100…
…01011100111110001101101
32100200211121202220111010121
410011302212023213301231
54324222221420200023
6102132313135404541
73534512503164403
oct405624613476155
970624552814117
1017990111100013
115806621795338
12202672b983751
13a065ca091170
14462a242c9473
15212e6db43d5d
hex105ca62e7c6d

17990111100013 has 8 divisors (see below), whose sum is σ = 19375461694008. Its totient is φ = 16604974205184.

The previous prime is 17990111100007. The next prime is 17990111100053. The reversal of 17990111100013 is 31000111109971.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2085791627529 + 15904319472484 = 1444227^2 + 3988022^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-17990111100013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17990111100053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53249920 + ... + 53586697.

It is an arithmetic number, because the mean of its divisors is an integer number (2421932711751).

Almost surely, 217990111100013 is an apocalyptic number.

17990111100013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

17990111100013 is a deficient number, since it is larger than the sum of its proper divisors (1385350593995).

17990111100013 is a wasteful number, since it uses less digits than its factorization.

17990111100013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106849583.

The product of its (nonzero) digits is 1701, while the sum is 34.

Adding to 17990111100013 its reverse (31000111109971), we get a palindrome (48990222209984).

The spelling of 17990111100013 in words is "seventeen trillion, nine hundred ninety billion, one hundred eleven million, one hundred thousand, thirteen".

Divisors: 1 13 12953 168389 106836617 1388876021 1383854700001 17990111100013