Search a number
-
+
1303245054441 = 3211671059718541
BaseRepresentation
bin10010111101101111011…
…101010110000111101001
311121120220101111022001200
4102331233131112013221
5132323021213220231
62434411424234413
7163104425120451
oct22755735260751
94546811438050
101303245054441
11462780948670
121906b216ba09
1395b844ac2b5
1447112540d61
1523d78c72be6
hex12f6f7561e9

1303245054441 has 48 divisors (see below), whose sum is σ = 2084558094528. Its totient is φ = 777941366400.

The previous prime is 1303245054431. The next prime is 1303245054539. The reversal of 1303245054441 is 1444505423031.

1303245054441 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 24 + 50 + 544 + 41 = 666.

It is not a de Polignac number, because 1303245054441 - 27 = 1303245054313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1303245054396 and 1303245054405.

It is not an unprimeable number, because it can be changed into a prime (1303245054431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70280631 + ... + 70299171.

It is an arithmetic number, because the mean of its divisors is an integer number (43428293636).

Almost surely, 21303245054441 is an apocalyptic number.

1303245054441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1303245054441 is a deficient number, since it is larger than the sum of its proper divisors (781313040087).

1303245054441 is a wasteful number, since it uses less digits than its factorization.

1303245054441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29222 (or 29219 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 1303245054441 in words is "one trillion, three hundred three billion, two hundred forty-five million, fifty-four thousand, four hundred forty-one".

Divisors: 1 3 9 11 33 67 99 201 603 737 2211 6633 10597 18541 31791 55623 95373 116567 166869 203951 349701 611853 709999 1049103 1242247 1835559 2129997 3726741 6389991 7809989 11180223 13664717 23429967 40994151 70289901 122982453 196478977 589436931 1768310793 2161268747 6483806241 13164091459 19451418723 39492274377 118476823131 144805006049 434415018147 1303245054441