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31311220105 = 5112931761927
BaseRepresentation
bin11101001010010010…
…110100110110001001
32222211010120210012201
4131022102310312021
51003111133020410
622214552040201
72155630656664
oct351222646611
988733523181
1031311220105
1112308405110
12609a093061
132c4cc2b099
14173064a6db
15c33cd383a
hex74a4b4d89

31311220105 has 32 divisors (see below), whose sum is σ = 42537104640. Its totient is φ = 21916849920.

The previous prime is 31311220099. The next prime is 31311220117. The reversal of 31311220105 is 50102211313.

It is not a de Polignac number, because 31311220105 - 27 = 31311219977 is a prime.

It is a super-2 number, since 2×313112201052 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 474652 + ... + 536578.

It is an arithmetic number, because the mean of its divisors is an integer number (1329284520).

Almost surely, 231311220105 is an apocalyptic number.

It is an amenable number.

31311220105 is a deficient number, since it is larger than the sum of its proper divisors (11225884535).

31311220105 is a wasteful number, since it uses less digits than its factorization.

31311220105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62289.

The product of its (nonzero) digits is 180, while the sum is 19.

Adding to 31311220105 its reverse (50102211313), we get a palindrome (81413431418).

It can be divided in two parts, 3131 and 1220105, that added together give a square (1223236 = 11062).

The spelling of 31311220105 in words is "thirty-one billion, three hundred eleven million, two hundred twenty thousand, one hundred five".

Divisors: 1 5 11 29 55 145 317 319 1585 1595 3487 9193 17435 45965 61927 101123 309635 505615 681197 1795883 3405985 8979415 19630859 19754713 98154295 98773565 215939449 569294911 1079697245 2846474555 6262244021 31311220105