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1313203130100 = 2232521459114589
BaseRepresentation
bin10011000111000001000…
…000011000111011110100
311122112121101100221210200
4103013001000120323310
5133003420000130400
62443135512320500
7163606253301141
oct23070100307364
94575541327720
101313203130100
11466a20a28264
121926110a3130
1396ab05ab064
14477b8cad3c8
152425d0edb00
hex131c1018ef4

1313203130100 has 54 divisors (see below), whose sum is σ = 4116162258390. Its totient is φ = 350187501120.

The previous prime is 1313203130081. The next prime is 1313203130101. The reversal of 1313203130100 is 10313023131.

It is a happy number.

1313203130100 is a `hidden beast` number, since 1 + 31 + 320 + 313 + 0 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 258962925456 + 1054240204644 = 508884^2 + 1026762^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313203130101) 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 17 ways as a sum of consecutive naturals, for example, 729556395 + ... + 729558194.

Almost surely, 21313203130100 is an apocalyptic number.

1313203130100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313203130100 is an abundant number, since it is smaller than the sum of its proper divisors (2802959128290).

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

1313203130100 is a wasteful number, since it uses less digits than its factorization.

1313203130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459114609 (or 1459114599 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1313203130100 its reverse (10313023131), we get a palindrome (1323516153231).

The spelling of 1313203130100 in words is "one trillion, three hundred thirteen billion, two hundred three million, one hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 1459114589 2918229178 4377343767 5836458356 7295572945 8754687534 13132031301 14591145890 17509375068 21886718835 26264062602 29182291780 36477864725 43773437670 52528125204 65660156505 72955729450 87546875340 109433594175 131320313010 145911458900 218867188350 262640626020 328300782525 437734376700 656601565050 1313203130100