Search a number
-
+
131020443431240 = 235111746137995883
BaseRepresentation
bin11101110010100110010010…
…111111010011000101001000
3122011220102122222100121210212
4131302212102333103011020
5114133114332004244430
61142353543310100252
736411625504565036
oct3562462277230510
9564812588317725
10131020443431240
1138824504691640
12128407814aa688
1358152370654ac
14244d5cd759556
15102322096cb95
hex772992fd3148

131020443431240 has 128 divisors (see below), whose sum is σ = 341251673051520. Its totient is φ = 44743950643200.

The previous prime is 131020443431231. The next prime is 131020443431243. The reversal of 131020443431240 is 42134344020131.

It is a junction number, because it is equal to n+sod(n) for n = 131020443431197 and 131020443431206.

It is not an unprimeable number, because it can be changed into a prime (131020443431243) 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, 15549662 + ... + 22446221.

It is an arithmetic number, because the mean of its divisors is an integer number (2666028695715).

Almost surely, 2131020443431240 is an apocalyptic number.

131020443431240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131020443431240 is an abundant number, since it is smaller than the sum of its proper divisors (210231229620280).

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

131020443431240 is a wasteful number, since it uses less digits than its factorization.

131020443431240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37996383 (or 37996379 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 131020443431240 its reverse (42134344020131), we get a palindrome (173154787451371).

The spelling of 131020443431240 in words is "one hundred thirty-one trillion, twenty billion, four hundred forty-three million, four hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 461 680 748 922 935 1496 1844 1870 2305 3688 3740 4610 5071 7480 7837 9220 10142 15674 18440 20284 25355 31348 39185 40568 50710 62696 78370 86207 101420 156740 172414 202840 313480 344828 431035 689656 862070 1724140 3448280 37995883 75991766 151983532 189979415 303967064 379958830 417954713 645930011 759917660 835909426 1291860022 1519835320 1671818852 2089773565 2583720044 3229650055 3343637704 4179547130 5167440088 6459300110 7105230121 8359094260 12918600220 14210460242 16718188520 17516102063 25837200440 28420920484 35032204126 35526150605 56841840968 70064408252 71052301210 87580510315 140128816504 142104602420 175161020630 192677122693 284209204840 297773735071 350322041260 385354245386 595547470142 700644082520 770708490772 963385613465 1191094940284 1488868675355 1541416981544 1926771226930 2382189880568 2977737350710 3275511085781 3853542453860 5955474701420 6551022171562 7707084907720 11910949402840 13102044343124 16377555428905 26204088686248 32755110857810 65510221715620 131020443431240