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3001021312 = 27591732297
BaseRepresentation
bin1011001011011111…
…1111001110000000
321202010221200022111
42302313333032000
522121230140222
61213442145104
7134240155162
oct26267771600
97663850274
103001021312
1112aaaa8803
126b9052194
1338a981373
142067d0932
151286e6777
hexb2dff380

3001021312 has 64 divisors (see below), whose sum is σ = 6117735600. Its totient is φ = 1465913344.

The previous prime is 3001021273. The next prime is 3001021327. The reversal of 3001021312 is 2131201003.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×30010213122 = 18012257830156402688, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3001021292 and 3001021301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1305348 + ... + 1307644.

Almost surely, 23001021312 is an apocalyptic number.

3001021312 is a gapful number since it is divisible by the number (32) 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 3001021312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3058867800).

3001021312 is an abundant number, since it is smaller than the sum of its proper divisors (3116714288).

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

3001021312 is a wasteful number, since it uses less digits than its factorization.

3001021312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2543 (or 2531 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 3001021312 is about 54781.5782174994. The cubic root of 3001021312 is about 1442.4132169376.

Adding to 3001021312 its reverse (2131201003), we get a palindrome (5132222315).

The spelling of 3001021312 in words is "three billion, one million, twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 59 64 118 128 173 236 346 472 692 944 1384 1888 2297 2768 3776 4594 5536 7552 9188 10207 11072 18376 20414 22144 36752 40828 73504 81656 135523 147008 163312 271046 294016 326624 397381 542092 653248 794762 1084184 1306496 1589524 2168368 3179048 4336736 6358096 8673472 12716192 17346944 23445479 25432384 46890958 50864768 93781916 187563832 375127664 750255328 1500510656 3001021312