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1001310444 = 223367711949
BaseRepresentation
bin111011101011101…
…100100011101100
32120210010211201000
4323223230203230
54022313413234
6243205320300
733545666301
oct7353544354
92523124630
101001310444
114742393a2
1223b406090
1312c5a87b4
1496dad0a8
155cd8e899
hex3baec8ec

1001310444 has 96 divisors (see below), whose sum is σ = 2673216000. Its totient is φ = 323991360.

The previous prime is 1001310437. The next prime is 1001310449. The reversal of 1001310444 is 4440131001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1001310449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 512782 + ... + 514730.

It is an arithmetic number, because the mean of its divisors is an integer number (27846000).

Almost surely, 21001310444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001310444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336608000).

1001310444 is an abundant number, since it is smaller than the sum of its proper divisors (1671905556).

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

1001310444 is a wasteful number, since it uses less digits than its factorization.

1001310444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2100 (or 2092 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1001310444 is about 31643.4897569784. The cubic root of 1001310444 is about 1000.4366239984.

Adding to 1001310444 its reverse (4440131001), we get a palindrome (5441441445).

The spelling of 1001310444 in words is "one billion, one million, three hundred ten thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 67 71 108 134 142 201 213 268 284 402 426 603 639 804 852 1206 1278 1809 1917 1949 2412 2556 3618 3834 3898 4757 5847 7236 7668 7796 9514 11694 14271 17541 19028 23388 28542 35082 42813 52623 57084 70164 85626 105246 128439 130583 138379 171252 210492 256878 261166 276758 391749 415137 513756 522332 553516 783498 830274 1175247 1245411 1566996 1660548 2350494 2490822 3525741 3736233 4700988 4981644 7051482 7472466 9271393 14102964 14944932 18542786 27814179 37085572 55628358 83442537 111256716 166885074 250327611 333770148 500655222 1001310444