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1034314431210 = 232570116394269
BaseRepresentation
bin11110000110100011111…
…00011011101011101010
310122212202011002010211200
433003101330123223222
5113421233443244320
62111054003505030
7134504163414354
oct17032174335352
93585664063750
101034314431210
11369717593a55
12148559988176
13766c64638c8
14380bd8940d4
151bd89025290
hexf0d1f1baea

1034314431210 has 48 divisors (see below), whose sum is σ = 2693053944360. Its totient is φ = 275423702400.

The previous prime is 1034314431193. The next prime is 1034314431221. The reversal of 1034314431210 is 121344134301.

1034314431210 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 3 + 1 + 443 + 1 + 210 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1028554987329 + 5759443881 = 1014177^2 + 75891^2 .

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 23 ways as a sum of consecutive naturals, for example, 8134045 + ... + 8260224.

Almost surely, 21034314431210 is an apocalyptic number.

1034314431210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1034314431210 is an abundant number, since it is smaller than the sum of its proper divisors (1658739513150).

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

1034314431210 is a wasteful number, since it uses less digits than its factorization.

1034314431210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16394983 (or 16394980 counting only the distinct ones).

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

Adding to 1034314431210 its reverse (121344134301), we get a palindrome (1155658565511).

The spelling of 1034314431210 in words is "one trillion, thirty-four billion, three hundred fourteen million, four hundred thirty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 701 1402 2103 3505 4206 6309 7010 10515 12618 21030 31545 63090 16394269 32788538 49182807 81971345 98365614 147548421 163942690 245914035 295096842 491828070 737742105 1475484210 11492382569 22984765138 34477147707 57461912845 68954295414 103431443121 114923825690 172385738535 206862886242 344771477070 517157215605 1034314431210