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131212042041300 = 2235211231728748907
BaseRepresentation
bin11101110101011000101111…
…001001111111011111010100
3122012120202012210221110220220
4131311120233021333133110
5114144234230230310200
61143021551401154340
736431520502110603
oct3565305711773724
9565522183843826
10131212042041300
1138898795050170
121287193348b9b0
13582a31c9343cc
1424589a7b29a3a
1510281d655b4a0
hex77562f27f7d4

131212042041300 has 144 divisors (see below), whose sum is σ = 432159567017472. Its totient is φ = 30425980745600.

The previous prime is 131212042041293. The next prime is 131212042041359. The reversal of 131212042041300 is 3140240212131.

It is a congruent number.

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, 864298554 + ... + 864450353.

It is an arithmetic number, because the mean of its divisors is an integer number (3001108104288).

Almost surely, 2131212042041300 is an apocalyptic number.

131212042041300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131212042041300 is an abundant number, since it is smaller than the sum of its proper divisors (300947524976172).

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

131212042041300 is a wasteful number, since it uses less digits than its factorization.

131212042041300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728748958 (or 1728748951 counting only the distinct ones).

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

Adding to 131212042041300 its reverse (3140240212131), we get a palindrome (134352282253431).

The spelling of 131212042041300 in words is "one hundred thirty-one trillion, two hundred twelve billion, forty-two million, forty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 25 30 33 44 46 50 55 60 66 69 75 92 100 110 115 132 138 150 165 220 230 253 275 276 300 330 345 460 506 550 575 660 690 759 825 1012 1100 1150 1265 1380 1518 1650 1725 2300 2530 3036 3300 3450 3795 5060 6325 6900 7590 12650 15180 18975 25300 37950 75900 1728748907 3457497814 5186246721 6914995628 8643744535 10372493442 17287489070 19016237977 20744986884 25931233605 34574978140 38032475954 39761224861 43218722675 51862467210 57048713931 76064951908 79522449722 86437445350 95081189885 103724934420 114097427862 119283674583 129656168025 159044899444 172874890700 190162379770 198806124305 228194855724 238567349166 259312336050 285243569655 380324759540 397612248610 437373473471 475405949425 477134698332 518624672100 570487139310 596418372915 795224497220 874746946942 950811898850 994030621525 1140974278620 1192836745830 1312120420413 1426217848275 1749493893884 1901623797700 1988061243050 2186867367355 2385673491660 2624240840826 2852435696550 2982091864575 3976122486100 4373734734710 5248481681652 5704871393100 5964183729150 6560602102065 8747469469420 10934336836775 11928367458300 13121204204130 21868673673550 26242408408260 32803010510325 43737347347100 65606021020650 131212042041300