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1001001330 = 232573742943
BaseRepresentation
bin111011101010100…
…001000101110010
32120202120010200100
4323222201011302
54022224020310
6243154533230
733543241140
oct7352410562
92522503610
101001001330
1147404812a
1223b297216
1312c4caba4
1496d2c590
155cd2cec0
hex3baa1172

1001001330 has 96 divisors (see below), whose sum is σ = 3054864384. Its totient is φ = 222611328.

The previous prime is 1001001329. The next prime is 1001001349. The reversal of 1001001330 is 331001001.

1001001330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1839 + ... + 44781.

It is an arithmetic number, because the mean of its divisors is an integer number (31821504).

Almost surely, 21001001330 is an apocalyptic number.

1001001330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001001330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527432192).

1001001330 is an abundant number, since it is smaller than the sum of its proper divisors (2053863054).

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

1001001330 is a wasteful number, since it uses less digits than its factorization.

1001001330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43000 (or 42997 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 1001001330 is about 31638.6050577455. The cubic root of 1001001330 is about 1000.3336653217. Note that the first 3 decimals are identical.

Adding to 1001001330 its reverse (331001001), we get a palindrome (1332002331).

The spelling of 1001001330 in words is "one billion, one million, one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 37 42 45 63 70 74 90 105 111 126 185 210 222 259 315 333 370 518 555 630 666 777 1110 1295 1554 1665 2331 2590 3330 3885 4662 7770 11655 23310 42943 85886 128829 214715 257658 300601 386487 429430 601202 644145 772974 901803 1288290 1503005 1588891 1803606 1932435 2705409 3006010 3177782 3864870 4509015 4766673 5410818 7944455 9018030 9533346 11122237 13527045 14300019 15888910 22244474 23833365 27054090 28600038 33366711 47666730 55611185 66733422 71500095 100100133 111222370 143000190 166833555 200200266 333667110 500500665 1001001330