Search a number
-
+
13503433430531 = 1141973974091901
BaseRepresentation
bin1100010010000000001101…
…0110100101011000000011
31202210220201111022120202202
43010200003112211120003
53232220012424234111
644415220334103415
72562406445222432
oct304400326453003
952726644276682
1013503433430531
114336857157390
12162108064ab6b
1376c4a3235595
143497d9239119
151863c6927b3b
hexc48035a5603

13503433430531 has 64 divisors (see below), whose sum is σ = 15329714037120. Its totient is φ = 11788001280000.

The previous prime is 13503433430507. The next prime is 13503433430563.

13503433430531 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-13503433430531 is a prime.

It is a super-2 number, since 2×135034334305312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13503433438531) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7103330681 + ... + 7103332581.

It is an arithmetic number, because the mean of its divisors is an integer number (239526781830).

Almost surely, 213503433430531 is an apocalyptic number.

13503433430531 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13503433430531 is a deficient number, since it is larger than the sum of its proper divisors (1826280606589).

13503433430531 is a wasteful number, since it uses less digits than its factorization.

13503433430531 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2856.

The product of its (nonzero) digits is 291600, while the sum is 38.

It can be divided in two parts, 1350343 and 3430531, that added together give a palindrome (4780874).

The spelling of 13503433430531 in words is "thirteen trillion, five hundred three billion, four hundred thirty-three million, four hundred thirty thousand, five hundred thirty-one".

Divisors: 1 11 41 97 397 409 451 1067 1901 3977 4367 4499 16277 16769 20911 38509 39673 43747 77941 162373 179047 184397 184459 423599 436403 754697 777509 857351 1578869 1626593 1786103 2028367 6657293 7560277 8301667 8552599 15750181 17367559 17892523 30942577 31877869 73205609 73230223 75418373 83163047 173251991 308671073 340368347 350656559 645757421 805261699 829602103 3001429969 3092153293 3395381803 7103331631 12655513993 29941094081 33015729659 34013686223 139210653923 329352034891 1227584857321 13503433430531