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1021134444 = 22311171134027
BaseRepresentation
bin111100110111010…
…100011001101100
32122011110000010020
4330313110121230
54042402300234
6245154242140
734206333231
oct7467243154
92564400106
101021134444
11484449470
12245b86350
13133729a85
149988d788
155e9a8549
hex3cdd466c

1021134444 has 96 divisors (see below), whose sum is σ = 2777193216. Its totient is φ = 288583680.

The previous prime is 1021134421. The next prime is 1021134463. The reversal of 1021134444 is 4444311201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251559 + ... + 255585.

It is an arithmetic number, because the mean of its divisors is an integer number (28929096).

Almost surely, 21021134444 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 1021134444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388596608).

1021134444 is an abundant number, since it is smaller than the sum of its proper divisors (1756058772).

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

1021134444 is a wasteful number, since it uses less digits than its factorization.

1021134444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4175 (or 4173 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 1021134444 is about 31955.1943195469. The cubic root of 1021134444 is about 1006.9957598846.

Adding to 1021134444 its reverse (4444311201), we get a palindrome (5465445645).

The spelling of 1021134444 in words is "one billion, twenty-one million, one hundred thirty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 113 132 187 204 226 339 374 452 561 678 748 1122 1243 1356 1921 2244 2486 3729 3842 4027 4972 5763 7458 7684 8054 11526 12081 14916 16108 21131 23052 24162 42262 44297 48324 63393 68459 84524 88594 126786 132891 136918 177188 205377 253572 265782 273836 410754 455051 531564 753049 821508 910102 1365153 1506098 1820204 2259147 2730306 3012196 4518294 5005561 5460612 7735867 9036588 10011122 15016683 15471734 20022244 23207601 30033366 30943468 46415202 60066732 85094537 92830404 170189074 255283611 340378148 510567222 1021134444