Search a number
-
+
31014303120 = 2432543075421
BaseRepresentation
bin11100111000100110…
…001011010110010000
32222001102212211200100
4130320212023112100
51002004130144440
622125304052400
72145364140543
oct347046132620
988042784610
1031014303120
1112175846a79
126016764100
132c0356c668
14170303a85a
15c17bd3230
hex73898b590

31014303120 has 60 divisors (see below), whose sum is σ = 104156370396. Its totient is φ = 8270480640.

The previous prime is 31014303113. The next prime is 31014303157. The reversal of 31014303120 is 2130341013.

31014303120 is a `hidden beast` number, since 310 + 1 + 43 + 0 + 312 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4832474256 + 26181828864 = 69516^2 + 161808^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a junction number, because it is equal to n+sod(n) for n = 31014303093 and 31014303102.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21536991 + ... + 21538430.

Almost surely, 231014303120 is an apocalyptic number.

31014303120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31014303120 is an abundant number, since it is smaller than the sum of its proper divisors (73142067276).

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

31014303120 is a wasteful number, since it uses less digits than its factorization.

31014303120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43075440 (or 43075431 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 31014303120 its reverse (2130341013), we get a palindrome (33144644133).

The spelling of 31014303120 in words is "thirty-one billion, fourteen million, three hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 43075421 86150842 129226263 172301684 215377105 258452526 344603368 387678789 430754210 516905052 646131315 689206736 775357578 861508420 1033810104 1292262630 1550715156 1723016840 1938393945 2067620208 2584525260 3101430312 3446033680 3876787890 5169050520 6202860624 7753575780 10338101040 15507151560 31014303120