Search a number
-
+
131355890248660 = 225711136162671589
BaseRepresentation
bin11101110111011110101101…
…001011010110101111010100
3122020002111111211201112202121
4131313132231023112233110
5114204113330400424120
61143212021331345324
736445102261516420
oct3567365513265724
9566074454645677
10131355890248660
11389437a1671470
1212895799a52244
13583aa6583bc7c
142461932477b80
15102bd0501c5aa
hex7777ad2d6bd4

131355890248660 has 96 divisors (see below), whose sum is σ = 344166300898560. Its totient is φ = 40912012646400.

The previous prime is 131355890248657. The next prime is 131355890248691. The reversal of 131355890248660 is 66842098553131.

It is a super-2 number, since 2×1313558902486602 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29239855 + ... + 33431734.

It is an arithmetic number, because the mean of its divisors is an integer number (3585065634360).

Almost surely, 2131355890248660 is an apocalyptic number.

131355890248660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131355890248660 is an abundant number, since it is smaller than the sum of its proper divisors (212810410649900).

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

131355890248660 is a wasteful number, since it uses less digits than its factorization.

131355890248660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62672977 (or 62672975 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 61.

The spelling of 131355890248660 in words is "one hundred thirty-one trillion, three hundred fifty-five billion, eight hundred ninety million, two hundred forty-eight thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1361 1540 2722 5444 6805 9527 13610 14971 19054 27220 29942 38108 47635 59884 74855 95270 104797 149710 190540 209594 299420 419188 523985 1047970 2095940 62671589 125343178 250686356 313357945 438701123 626715890 689387479 877402246 1253431780 1378774958 1754804492 2193505615 2757549916 3446937395 4387011230 4825712353 6893874790 8774022460 9651424706 13787749580 19302849412 24128561765 48257123530 85296032629 96514247060 170592065258 341184130516 426480163145 597072228403 852960326290 938256358919 1194144456806 1705920652580 1876512717838 2388288913612 2985361142015 3753025435676 4691281794595 5970722284030 6567794512433 9382563589190 11941444568060 13135589024866 18765127178380 26271178049732 32838972562165 65677945124330 131355890248660