Search a number
-
+
31112321310 = 2325749384637
BaseRepresentation
bin11100111110011100…
…000101100100011110
32222022021022200100200
4130332130011210132
51002204223240220
622143125004330
72150664240060
oct347634054436
988267280320
1031112321310
1112216104544
1260435536a6
132c1a96b0a5
141712073730
15c215e5890
hex73e70591e

31112321310 has 48 divisors (see below), whose sum is σ = 92448042336. Its totient is φ = 7111387584.

The previous prime is 31112321309. The next prime is 31112321323. The reversal of 31112321310 is 1312321113.

31112321310 is a `hidden beast` number, since 31 + 1 + 1 + 2 + 321 + 310 = 666.

It is a super-2 number, since 2×311123213102 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 24691689 + ... + 24692948.

It is an arithmetic number, because the mean of its divisors is an integer number (1926000882).

Almost surely, 231112321310 is an apocalyptic number.

31112321310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

31112321310 is an abundant number, since it is smaller than the sum of its proper divisors (61335721026).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31112321310 is a wasteful number, since it uses less digits than its factorization.

31112321310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49384657 (or 49384654 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 31112321310 its reverse (1312321113), we get a palindrome (32424642423).

The spelling of 31112321310 in words is "thirty-one billion, one hundred twelve million, three hundred twenty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 49384637 98769274 148153911 246923185 296307822 345692459 444461733 493846370 691384918 740769555 888923466 1037077377 1481539110 1728462295 2074154754 2222308665 3111232131 3456924590 4444617330 5185386885 6222464262 10370773770 15556160655 31112321310