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131031301102020 = 2232511110603598333
BaseRepresentation
bin11101110010110000011010…
…001010000001100111000100
3122011221110200122222110001200
4131302300122022001213010
5114133304101040231040
61142402540531422500
736412461535346634
oct3562603212014704
9564843618873050
10131031301102020
1138829076547380
12128428b1754a30
135816277648567
14244dd3d77a6c4
151023658c95630
hex772c1a2819c4

131031301102020 has 144 divisors (see below), whose sum is σ = 433599132238272. Its totient is φ = 31764823614720.

The previous prime is 131031301102001. The next prime is 131031301102043. The reversal of 131031301102020 is 20201103130131.

131031301102020 is a `hidden beast` number, since 1 + 310 + 3 + 1 + 301 + 10 + 20 + 20 = 666.

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 = 131031301101984 and 131031301102002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 218694774 + ... + 219293106.

It is an arithmetic number, because the mean of its divisors is an integer number (3011105084988).

Almost surely, 2131031301102020 is an apocalyptic number.

131031301102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131031301102020 is an abundant number, since it is smaller than the sum of its proper divisors (302567831136252).

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

131031301102020 is a wasteful number, since it uses less digits than its factorization.

131031301102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708962 (or 708957 counting only the distinct ones).

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

Adding to 131031301102020 its reverse (20201103130131), we get a palindrome (151232404232151).

The spelling of 131031301102020 in words is "one hundred thirty-one trillion, thirty-one billion, three hundred one million, one hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 110603 221206 331809 442412 553015 598333 663618 995427 1106030 1196666 1216633 1327236 1659045 1794999 1990854 2212060 2393332 2433266 2991665 3318090 3589998 3649899 3981708 4866532 4977135 5384997 5983330 6083165 6581663 6636180 7179996 7299798 8974995 9954270 10769994 10949697 11966660 12166330 13163326 14599596 17949990 18249495 19744989 19908540 21539988 21899394 24332660 26326652 26924985 32908315 35899980 36498990 39489978 43798788 53849970 54748485 59234967 65816630 72997980 78979956 98724945 107699940 109496970 118469934 131633260 197449890 218993940 236939868 296174835 394899780 592349670 1184699340 66177424799 132354849598 198532274397 264709699196 330887123995 397064548794 595596823191 661774247990 727951672789 794129097588 992661371985 1191193646382 1323548495980 1455903345578 1985322743970 2183855018367 2382387292764 2911806691156 2977984115955 3639758363945 3970645487940 4367710036734 5955968231910 6551565055101 7279516727890 8735420073468 10919275091835 11911936463820 13103130110202 14559033455780 21838550183670 26206260220404 32757825275505 43677100367340 65515650551010 131031301102020