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241234300031112 = 233641363906041
BaseRepresentation
bin110110110110011010111100…
…110000101101000010001000
31011122010202220010211022000000
4312312122330300231002020
5223104340321301443422
62213021301343043000
7101545413560466153
oct6666327460550210
91148122803738000
10241234300031112
116a95698a447563
12230809a6ba0460
13a47b3b2336b2b
14437db33ba6c9a
151cd50ced5dcac
hexdb66bcc2d088

241234300031112 has 56 divisors (see below), whose sum is σ = 678161239558590. Its totient is φ = 80411433341760.

The previous prime is 241234300031099. The next prime is 241234300031129. The reversal of 241234300031112 is 211130003432142.

241234300031112 is a `hidden beast` number, since 2 + 4 + 1 + 2 + 34 + 300 + 0 + 311 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 217229454554436 + 24004845476676 = 14738706^2 + 4899474^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 13 ways as a sum of consecutive naturals, for example, 20681947189 + ... + 20681958852.

Almost surely, 2241234300031112 is an apocalyptic number.

It is an amenable number.

241234300031112 is an abundant number, since it is smaller than the sum of its proper divisors (436926939527478).

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

241234300031112 is an equidigital number, since it uses as much as digits as its factorization.

241234300031112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41363906065 (or 41363906046 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 241234300031112 its reverse (211130003432142), we get a palindrome (452364303463254).

The spelling of 241234300031112 in words is "two hundred forty-one trillion, two hundred thirty-four billion, three hundred million, thirty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2916 5832 41363906041 82727812082 124091718123 165455624164 248183436246 330911248328 372275154369 496366872492 744550308738 992733744984 1116825463107 1489100617476 2233650926214 2978201234952 3350476389321 4467301852428 6700952778642 8934603704856 10051429167963 13401905557284 20102858335926 26803811114568 30154287503889 40205716671852 60308575007778 80411433343704 120617150015556 241234300031112