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131212213013040 = 2435546717554221
BaseRepresentation
bin11101110101011000111001…
…010110001100101000110000
3122012120202122201122202001120
4131311120321112030220300
5114144240103012404130
61143022020345502240
736431524646254515
oct3565307126145060
9565522581582046
10131212213013040
1138898872606825
12128719807a1980
13582a349196b13
1424589c271330c
1510281e657e910
hex77563958ca30

131212213013040 has 40 divisors (see below), whose sum is σ = 406757860341168. Its totient is φ = 34989923470080.

The previous prime is 131212213013039. The next prime is 131212213013041. The reversal of 131212213013040 is 40310312212131.

It is an interprime number because it is at equal distance from previous prime (131212213013039) and next prime (131212213013041).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 131212213013040.

It is not an unprimeable number, because it can be changed into a prime (131212213013041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 273358776871 + ... + 273358777350.

Almost surely, 2131212213013040 is an apocalyptic number.

131212213013040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131212213013040 is an abundant number, since it is smaller than the sum of its proper divisors (275545647328128).

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

131212213013040 is a wasteful number, since it uses less digits than its factorization.

131212213013040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546717554237 (or 546717554231 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 131212213013040 its reverse (40310312212131), we get a palindrome (171522525225171).

The spelling of 131212213013040 in words is "one hundred thirty-one trillion, two hundred twelve billion, two hundred thirteen million, thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 546717554221 1093435108442 1640152662663 2186870216884 2733587771105 3280305325326 4373740433768 5467175542210 6560610650652 8200763313315 8747480867536 10934351084420 13121221301304 16401526626630 21868702168840 26242442602608 32803053253260 43737404337680 65606106506520 131212213013040