Search a number
-
+
131403311241021 = 37977203930161
BaseRepresentation
bin11101111000001010110111…
…101100000101011100111101
3122020021000220200200120000000
4131320022313230011130331
5114210402440134203041
61143245503044024513
736451401356352441
oct3570126754053475
9566230820616000
10131403311241021
1138961916577946
12128a2a13092139
1358423821a8a71
142463d5046c821
15102d17d27bbb6
hex7782b7b0573d

131403311241021 has 64 divisors (see below), whose sum is σ = 197379934963200. Its totient is φ = 87466723568640.

The previous prime is 131403311241017. The next prime is 131403311241029. The reversal of 131403311241021 is 120142113304131.

131403311241021 is a `hidden beast` number, since 1 + 3 + 1 + 403 + 3 + 11 + 241 + 0 + 2 + 1 = 666.

It is not a de Polignac number, because 131403311241021 - 22 = 131403311241017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131403311241029) 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, 4356714181 + ... + 4356744341.

It is an arithmetic number, because the mean of its divisors is an integer number (3084061483800).

Almost surely, 2131403311241021 is an apocalyptic number.

It is an amenable number.

131403311241021 is a deficient number, since it is larger than the sum of its proper divisors (65976623722179).

131403311241021 is an frugal number, since it uses more digits than its factorization.

131403311241021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33198 (or 33180 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 131403311241021 its reverse (120142113304131), we get a palindrome (251545424545152).

The spelling of 131403311241021 in words is "one hundred thirty-one trillion, four hundred three billion, three hundred eleven million, two hundred forty-one thousand, twenty-one".

Divisors: 1 3 9 27 81 243 729 977 2039 2187 2931 6117 8793 18351 26379 30161 55053 79137 90483 165159 237411 271449 495477 712233 814347 1486431 1992103 2136699 2443041 4459293 5976309 7329123 17928927 21987369 29467297 53786781 61498279 65962107 88401891 161360343 184494837 265205673 484081029 553484511 795617019 1452243087 1660453533 2386851057 4356729261 4981360599 7160553171 14944081797 21481659513 44832245391 60083818583 64444978539 134496736173 180251455749 540754367247 1622263101741 4866789305223 14600367915669 43801103747007 131403311241021