Search a number
-
+
131403021333441 = 31131313918211591
BaseRepresentation
bin11101111000001010100110…
…011010001011001111000001
3122020021000011111011201120020
4131320022212122023033001
5114210401341430132231
61143245414210204053
736451361236236024
oct3570124632131701
9566230144151506
10131403021333441
1138961787967000
12128a2951b83629
135842337102910
142463d23b651bb
15102d162ab3396
hex7782a668b3c1

131403021333441 has 64 divisors (see below), whose sum is σ = 209028282193920. Its totient is φ = 72983311156800.

The previous prime is 131403021333439. The next prime is 131403021333457. The reversal of 131403021333441 is 144333120304131.

It is not a de Polignac number, because 131403021333441 - 21 = 131403021333439 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (131403021333641) 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 63 ways as a sum of consecutive naturals, for example, 1890445 + ... + 16321146.

It is an arithmetic number, because the mean of its divisors is an integer number (3266066909280).

Almost surely, 2131403021333441 is an apocalyptic number.

131403021333441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131403021333441 is a deficient number, since it is larger than the sum of its proper divisors (77625260860479).

131403021333441 is a wasteful number, since it uses less digits than its factorization.

131403021333441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18211779 (or 18211757 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

Adding to 131403021333441 its reverse (144333120304131), we get a palindrome (275736141637572).

The spelling of 131403021333441 in words is "one hundred thirty-one trillion, four hundred three billion, twenty-one million, three hundred thirty-three thousand, four hundred forty-one".

Divisors: 1 3 11 13 33 39 121 139 143 363 417 429 1331 1529 1573 1807 3993 4587 4719 5421 16819 17303 19877 50457 51909 59631 185009 218647 555027 655941 2405117 7215351 18211591 54634773 200327501 236750683 600982503 710252049 2203602511 2531411149 2604257513 6610807533 7594233447 7812772539 24239627621 27845522639 28646832643 32908344937 72718882863 83536567917 85940497929 98725034811 306300749029 315115159073 361991794307 918902247087 945345477219 1085975382921 3369308239319 3981909737377 10107924717957 11945729212131 43801007111147 131403021333441