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1000143312 = 24372616971
BaseRepresentation
bin111011100111001…
…111100111010000
32120200221112200220
4323213033213100
54022014041222
6243124313040
733533035500
oct7347174720
92520845626
101000143312
11473611523
1223ab42780
1312c28a49c
1496b87a00
155cc0db5c
hex3b9cf9d0

1000143312 has 120 divisors (see below), whose sum is σ = 3055241952. Its totient is φ = 281030400.

The previous prime is 1000143301. The next prime is 1000143341. The reversal of 1000143312 is 2133410001.

It is a junction number, because it is equal to n+sod(n) for n = 1000143291 and 1000143300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139987 + ... + 146957.

Almost surely, 21000143312 is an apocalyptic number.

1000143312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000143312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527620976).

1000143312 is an abundant number, since it is smaller than the sum of its proper divisors (2055098640).

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

1000143312 is a wasteful number, since it uses less digits than its factorization.

1000143312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7057 (or 7044 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1000143312 is about 31625.0424821849. The cubic root of 1000143312 is about 1000.0477683848.

Adding to 1000143312 its reverse (2133410001), we get a palindrome (3133553313).

The spelling of 1000143312 in words is "one billion, one hundred forty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 61 84 98 112 122 147 168 183 196 244 294 336 366 392 427 488 588 732 784 854 976 1176 1281 1464 1708 2352 2562 2928 2989 3416 5124 5978 6832 6971 8967 10248 11956 13942 17934 20496 20913 23912 27884 35868 41826 47824 48797 55768 71736 83652 97594 111536 143472 146391 167304 195188 292782 334608 341579 390376 425231 585564 683158 780752 850462 1024737 1171128 1275693 1366316 1700924 2049474 2342256 2551386 2732632 2976617 3401848 4098948 5102772 5465264 5953234 6803696 8197896 8929851 10205544 11906468 16395792 17859702 20411088 20836319 23812936 35719404 41672638 47625872 62508957 71438808 83345276 125017914 142877616 166690552 250035828 333381104 500071656 1000143312