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131533144510253 = 19231787168433787
BaseRepresentation
bin11101111010000011110010…
…010110101100111100101101
3122020201110000222220000000012
4131322003302112230330231
5114220014334443312003
61143425254205343005
736463645640055323
oct3572036226547455
9566643028800005
10131533144510253
1138a01991017752
1212904007b67a65
1358516a3674325
14246a349735d13
15103172b6588d8
hex77a0f25acf2d

131533144510253 has 16 divisors (see below), whose sum is σ = 144556614213120. Its totient is φ = 119125805751216.

The previous prime is 131533144510231. The next prime is 131533144510259. The reversal of 131533144510253 is 352015441335131.

It is not a de Polignac number, because 131533144510253 - 234 = 131515964641069 is a prime.

It is a super-2 number, since 2×1315331445102532 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131533144510253.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131533144510259) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83435975 + ... + 84997812.

It is an arithmetic number, because the mean of its divisors is an integer number (9034788388320).

Almost surely, 2131533144510253 is an apocalyptic number.

It is an amenable number.

131533144510253 is a deficient number, since it is larger than the sum of its proper divisors (13023469702867).

131533144510253 is a wasteful number, since it uses less digits than its factorization.

131533144510253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168435616.

The product of its (nonzero) digits is 324000, while the sum is 41.

Adding to 131533144510253 its reverse (352015441335131), we get a palindrome (483548585845384).

The spelling of 131533144510253 in words is "one hundred thirty-one trillion, five hundred thirty-three billion, one hundred forty-four million, five hundred ten thousand, two hundred fifty-three".

Divisors: 1 19 23 437 1787 33953 41101 780919 168433787 3200241953 3873977101 73605564919 300991177369 5718832370011 6922797079487 131533144510253