Search a number
-
+
131222300411120 = 2453724912440241
BaseRepresentation
bin11101110101100010010010…
…100110100100010011110000
3122012121201200201212122210212
4131311202102212210103300
5114144421232401123440
61143030405333443252
736432332634604412
oct3565422246442360
9565551621778725
10131222300411120
11388a2079695256
1212873916aa0528
13582b296004b19
14245929c3069b2
1510285d6e53465
hex7758929a44f0

131222300411120 has 120 divisors (see below), whose sum is σ = 314199176246928. Its totient is φ = 50966266982400.

The previous prime is 131222300411113. The next prime is 131222300411171. The reversal of 131222300411120 is 21114003222131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52554200 + ... + 54994440.

Almost surely, 2131222300411120 is an apocalyptic number.

131222300411120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131222300411120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157099588123464).

131222300411120 is an abundant number, since it is smaller than the sum of its proper divisors (182976875835808).

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

131222300411120 is a wasteful number, since it uses less digits than its factorization.

131222300411120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2440819 (or 2440776 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 131222300411120 its reverse (21114003222131), we get a palindrome (152336303633251).

The spelling of 131222300411120 in words is "one hundred thirty-one trillion, two hundred twenty-two billion, three hundred million, four hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 491 592 740 982 1369 1480 1964 2455 2738 2960 3928 4910 5476 6845 7856 9820 10952 13690 18167 19640 21904 27380 36334 39280 54760 72668 90835 109520 145336 181670 290672 363340 672179 726680 1344358 1453360 2440241 2688716 3360895 4880482 5377432 6721790 9760964 10754864 12201205 13443580 19521928 24402410 26887160 39043856 48804820 53774320 90288917 97609640 180577834 195219280 361155668 451444585 722311336 902889170 1198158331 1444622672 1805778340 2396316662 3340689929 3611556680 4792633324 5990791655 6681379858 7223113360 9585266648 11981583310 13362759716 16703449645 19170533296 23963166620 26725519432 33406899290 44331858247 47926333240 53451038864 66813798580 88663716494 95852666480 133627597160 177327432988 221659291235 267255194320 354654865976 443318582470 709309731952 886637164940 1640278755139 1773274329880 3280557510278 3546548659760 6561115020556 8201393775695 13122230041112 16402787551390 26244460082224 32805575102780 65611150205560 131222300411120