Search a number
-
+
131212000214340 = 223534918793333427
BaseRepresentation
bin11101110101011000101100…
…101010011011110101000100
3122012120202002220020110010020
4131311120230222123311010
5114144234134023324330
61143021543304455140
736431516453433243
oct3565305452336504
9565522086213106
10131212000214340
1138898773481a31
121287192147a4b0
13582a31407b126
1424589a235c95a
1510281d2a48210
hex77562ca9bd44

131212000214340 has 96 divisors (see below), whose sum is σ = 368467014921600. Its totient is φ = 34887648070656.

The previous prime is 131212000214329. The next prime is 131212000214371. The reversal of 131212000214340 is 43412000212131.

It is a self number, because there is not a number n which added to its sum of digits gives 131212000214340.

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, 393358707 + ... + 393692133.

It is an arithmetic number, because the mean of its divisors is an integer number (3838198072100).

Almost surely, 2131212000214340 is an apocalyptic number.

131212000214340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131212000214340 is an abundant number, since it is smaller than the sum of its proper divisors (237255014707260).

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

131212000214340 is a wasteful number, since it uses less digits than its factorization.

131212000214340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352581 (or 352579 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 131212000214340 its reverse (43412000212131), we get a palindrome (174624000426471).

The spelling of 131212000214340 in words is "one hundred thirty-one trillion, two hundred twelve billion, two hundred fourteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 349 698 1047 1396 1745 2094 3490 4188 5235 6980 10470 18793 20940 37586 56379 75172 93965 112758 187930 225516 281895 333427 375860 563790 666854 1000281 1127580 1333708 1667135 2000562 3334270 4001124 5001405 6558757 6668540 10002810 13117514 19676271 20005620 26235028 32793785 39352542 65587570 78705084 98381355 116366023 131175140 196762710 232732046 349098069 393525420 465464092 581830115 698196138 1163660230 1396392276 1745490345 2327320460 3490980690 6266093611 6981961380 12532187222 18798280833 25064374444 31330468055 37596561666 62660936110 75193123332 93991404165 125321872220 187982808330 375965616660 2186866670239 4373733340478 6560600010717 8747466680956 10934333351195 13121200021434 21868666702390 26242400042868 32803000053585 43737333404780 65606000107170 131212000214340