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83760131231 = 7174679150431
BaseRepresentation
bin100111000000001111…
…1100010110010011111
322000012101110112100122
41032000133202302133
52333020043144411
6102251234145155
76023440240220
oct1160037426237
9260171415318
1083760131231
1132582457357
12142971221bb
137b8b15033a
1440a82cd247
1522a36619db
hex13807e2c9f

83760131231 has 16 divisors (see below), whose sum is σ = 101379133440. Its totient is φ = 67556307840.

The previous prime is 83760131209. The next prime is 83760131233. The reversal of 83760131231 is 13213106738.

It is not a de Polignac number, because 83760131231 - 214 = 83760114847 is a prime.

It is a super-2 number, since 2×837601312312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 83760131191 and 83760131200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83760131233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 481586 + ... + 632016.

It is an arithmetic number, because the mean of its divisors is an integer number (6336195840).

Almost surely, 283760131231 is an apocalyptic number.

83760131231 is a deficient number, since it is larger than the sum of its proper divisors (17619002209).

83760131231 is a wasteful number, since it uses less digits than its factorization.

83760131231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155134.

The product of its (nonzero) digits is 18144, while the sum is 35.

Adding to 83760131231 its reverse (13213106738), we get a palindrome (96973237969).

The spelling of 83760131231 in words is "eighty-three billion, seven hundred sixty million, one hundred thirty-one thousand, two hundred thirty-one".

Divisors: 1 7 17 119 4679 32753 79543 150431 556801 1053017 2557327 17901289 703866649 4927066543 11965733033 83760131231