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1000351314312 = 23378966904181
BaseRepresentation
bin11101000111010011001…
…01011011000110001000
310112122002012111001010020
432203221211123012020
5112342204414024222
62043315520220440
7132162431606010
oct16435145330610
93478065431106
101000351314312
113562792685a9
12141a5b76a720
1373442cc202c
14365bad76c40
151b04c50e65c
hexe8e995b188

1000351314312 has 64 divisors (see below), whose sum is σ = 2890260662400. Its totient is φ = 282603256320.

The previous prime is 1000351314311. The next prime is 1000351314323. The reversal of 1000351314312 is 2134131530001.

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

It is not an unprimeable number, because it can be changed into a prime (1000351314311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33437139 + ... + 33467042.

It is an arithmetic number, because the mean of its divisors is an integer number (45160322850).

Almost surely, 21000351314312 is an apocalyptic number.

1000351314312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1000351314312 is an abundant number, since it is smaller than the sum of its proper divisors (1889909348088).

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

1000351314312 is a wasteful number, since it uses less digits than its factorization.

1000351314312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66904286 (or 66904282 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 1000351314312 its reverse (2134131530001), we get a palindrome (3134482844313).

The spelling of 1000351314312 in words is "one trillion, three hundred fifty-one million, three hundred fourteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 89 168 178 267 356 534 623 712 1068 1246 1869 2136 2492 3738 4984 7476 14952 66904181 133808362 200712543 267616724 401425086 468329267 535233448 802850172 936658534 1404987801 1605700344 1873317068 2809975602 3746634136 5619951204 5954472109 11239902408 11908944218 17863416327 23817888436 35726832654 41681304763 47635776872 71453665308 83362609526 125043914289 142907330616 166725219052 250087828578 333450438104 500175657156 1000351314312