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131311132022020 = 225283367301920939
BaseRepresentation
bin11101110110110101000001…
…011000010001010100000100
3122012221012222120020001101211
4131312311001120101110010
5114202400144244201040
61143135300135301204
736441626156050636
oct3566650130212404
9565835876201354
10131311132022020
1138926813830315
1212888b8851a804
135836781a4cbb2
14245d6c7d82a56
15102aa8593a8ea
hex776d41611504

131311132022020 has 96 divisors (see below), whose sum is σ = 277586965555200. Its totient is φ = 52176460155264.

The previous prime is 131311132022017. The next prime is 131311132022029. The reversal of 131311132022020 is 20220231113131.

It is a super-2 number, since 2×1313111320220202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131311132021982 and 131311132022000.

It is not an unprimeable number, because it can be changed into a prime (131311132022029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6271116711 + ... + 6271137649.

It is an arithmetic number, because the mean of its divisors is an integer number (2891530891200).

Almost surely, 2131311132022020 is an apocalyptic number.

131311132022020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131311132022020 is an abundant number, since it is smaller than the sum of its proper divisors (146275833533180).

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

131311132022020 is a wasteful number, since it uses less digits than its factorization.

131311132022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24617 (or 24615 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 131311132022020 its reverse (20220231113131), we get a palindrome (151531363135151).

The spelling of 131311132022020 in words is "one hundred thirty-one trillion, three hundred eleven billion, one hundred thirty-two million, twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 283 367 566 734 1132 1415 1468 1835 2830 3019 3670 5660 6038 7340 12076 15095 20939 30190 41878 60380 83756 103861 104695 207722 209390 415444 418780 519305 854377 1038610 1107973 1708754 2077220 2215946 3417508 4271885 4431892 5539865 5925737 7684613 8543770 11079730 11851474 15369226 17087540 22159460 23702948 29628685 30738452 38423065 59257370 63214841 76846130 118514740 126429682 153692260 252859364 313556359 316074205 627112718 632148410 1254225436 1264296820 1567781795 2174745479 3135563590 4349490958 6271127180 8698981916 10873727395 17889800003 21747454790 23199846647 35779600006 43494909580 46399693294 71559200012 89449000015 92799386588 115999233235 178898000030 231998466470 357796000060 463996932940 6565556601101 13131113202202 26262226404404 32827783005505 65655566011010 131311132022020