Search a number
-
+
131321200313220 = 22352996617812023
BaseRepresentation
bin11101110110111110011001…
…011111110000001110000100
3122012222011222020111020102220
4131312332121133300032010
5114203031304240010340
61143144043201532340
736442433523111411
oct3566763137601604
9565864866436386
10131321200313220
1138930010049535
121288ab183440b0
1358376c792b158
14245dda1201108
15102ae747d7ed0
hex776f997f0384

131321200313220 has 96 divisors (see below), whose sum is σ = 380418070475520. Its totient is φ = 33807931368960.

The previous prime is 131321200313129. The next prime is 131321200313257. The reversal of 131321200313220 is 22313002123131.

It is a super-2 number, since 2×1313212003132202 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12904129 + ... + 20716151.

It is an arithmetic number, because the mean of its divisors is an integer number (3962688234120).

Almost surely, 2131321200313220 is an apocalyptic number.

131321200313220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131321200313220 is an abundant number, since it is smaller than the sum of its proper divisors (249096870162300).

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

131321200313220 is a wasteful number, since it uses less digits than its factorization.

131321200313220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7821725 (or 7821723 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 131321200313220 its reverse (22313002123131), we get a palindrome (153634202436351).

The spelling of 131321200313220 in words is "one hundred thirty-one trillion, three hundred twenty-one billion, two hundred million, three hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1740 9661 19322 28983 38644 48305 57966 96610 115932 144915 193220 280169 289830 560338 579660 840507 1120676 1400845 1681014 2801690 3362028 4202535 5603380 7812023 8405070 15624046 16810140 23436069 31248092 39060115 46872138 78120230 93744276 117180345 156240460 226548667 234360690 453097334 468721380 679646001 906194668 1132743335 1359292002 2265486670 2718584004 3398230005 4530973340 6796460010 13592920020 75471954203 150943908406 226415862609 301887816812 377359771015 452831725218 754719542030 905663450436 1132079313045 1509439084060 2188686671887 2264158626090 4377373343774 4528317252180 6566060015661 8754746687548 10943433359435 13132120031322 21886866718870 26264240062644 32830300078305 43773733437740 65660600156610 131321200313220