Search a number
-
+
31310120311 = 17193141531439
BaseRepresentation
bin11101001010001110…
…101000010101110111
32222211001111220120121
4131022032220111313
51003110342322221
622214512312411
72155615426411
oct351216502567
988731456517
1031310120311
1112307823898
126099842707
132c4c934612
1417304419b1
15c33b67a41
hex74a3a8577

31310120311 has 64 divisors (see below), whose sum is σ = 37623398400. Its totient is φ = 25842585600.

The previous prime is 31310120297. The next prime is 31310120339. The reversal of 31310120311 is 11302101313.

It is a cyclic number.

It is not a de Polignac number, because 31310120311 - 27 = 31310120183 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31310120111) 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 63 ways as a sum of consecutive naturals, for example, 21757530 + ... + 21758968.

It is an arithmetic number, because the mean of its divisors is an integer number (587865600).

Almost surely, 231310120311 is an apocalyptic number.

31310120311 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

31310120311 is a deficient number, since it is larger than the sum of its proper divisors (6313278089).

31310120311 is a wasteful number, since it uses less digits than its factorization.

31310120311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 31310120311 its reverse (11302101313), we get a palindrome (42612221624).

The spelling of 31310120311 in words is "thirty-one billion, three hundred ten million, one hundred twenty thousand, three hundred eleven".

Divisors: 1 17 19 31 41 53 323 527 589 697 779 901 1007 1271 1439 1643 2173 10013 13243 17119 21607 24149 24463 27341 27931 31217 36941 41287 44609 58999 67363 76267 410533 464797 530689 701879 758353 847571 1002983 1120981 1145171 1279897 1296539 1449073 1828969 2364277 3126947 14408707 19056677 21758249 24634241 31092473 34750411 40192709 44921263 53158099 59411993 96935357 590756987 763661471 1010003881 1647901069 1841771783 31310120311