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131352730020 = 2232519113339887
BaseRepresentation
bin111101001010100111…
…0111001100110100100
3110120001012100001100200
41322111032321212210
54123002244330040
6140202000510500
712330020532441
oct1722516714644
9416035301320
10131352730020
1150785212226
122155991b430
13c5042126b5
146500dd49c8
15363b9bc630
hex1e953b99a4

131352730020 has 144 divisors (see below), whose sum is σ = 423119773440. Its totient is φ = 32890088448.

The previous prime is 131352730013. The next prime is 131352730051. The reversal of 131352730020 is 20037253131.

131352730020 is a `hidden beast` number, since 1 + 3 + 1 + 352 + 7 + 300 + 2 + 0 = 666.

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, 216517 + ... + 556403.

It is an arithmetic number, because the mean of its divisors is an integer number (2938331760).

Almost surely, 2131352730020 is an apocalyptic number.

131352730020 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 131352730020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211559886720).

131352730020 is an abundant number, since it is smaller than the sum of its proper divisors (291767043420).

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

131352730020 is a wasteful number, since it uses less digits than its factorization.

131352730020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340034 (or 340029 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

Adding to 131352730020 its reverse (20037253131), we get a palindrome (151389983151).

The spelling of 131352730020 in words is "one hundred thirty-one billion, three hundred fifty-two million, seven hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 113 114 171 180 190 226 228 285 339 342 380 452 565 570 678 684 855 1017 1130 1140 1356 1695 1710 2034 2147 2260 3390 3420 4068 4294 5085 6441 6780 8588 10170 10735 12882 19323 20340 21470 25764 32205 38646 42940 64410 77292 96615 128820 193230 339887 386460 679774 1019661 1359548 1699435 2039322 3058983 3398870 4078644 5098305 6117966 6457853 6797740 10196610 12235932 12915706 15294915 19373559 20393220 25831412 30589830 32289265 38407231 38747118 58120677 61179660 64578530 76814462 77494236 96867795 115221693 116241354 129157060 153628924 192036155 193735590 230443386 232482708 290603385 345665079 384072310 387471180 460886772 576108465 581206770 691330158 729737389 768144620 1152216930 1162413540 1382660316 1459474778 1728325395 2189212167 2304433860 2918949556 3456650790 3648686945 4378424334 6567636501 6913301580 7297373890 8756848668 10946060835 13135273002 14594747780 21892121670 26270546004 32838182505 43784243340 65676365010 131352730020