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1021030444 = 227223476179
BaseRepresentation
bin111100110110111…
…011000000101100
32122011020201110101
4330312323000230
54042340433234
6245152120444
734205421100
oct7466730054
92564221411
101021030444
11484388315
12245b36124
131336c1635
1499863900
155e987814
hex3cdbb02c

1021030444 has 144 divisors (see below), whose sum is σ = 2279854080. Its totient is φ = 397837440.

The previous prime is 1021030433. The next prime is 1021030453. The reversal of 1021030444 is 4440301201.

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, 12924397 + ... + 12924475.

It is an arithmetic number, because the mean of its divisors is an integer number (15832320).

Almost surely, 21021030444 is an apocalyptic number.

1021030444 is a gapful number since it is divisible by the number (14) 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 1021030444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139927040).

1021030444 is an abundant number, since it is smaller than the sum of its proper divisors (1258823636).

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

1021030444 is a wasteful number, since it uses less digits than its factorization.

1021030444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 1021030444 is about 31953.5669996325. The cubic root of 1021030444 is about 1006.9615720539.

Adding to 1021030444 its reverse (4440301201), we get a palindrome (5461331645).

The spelling of 1021030444 in words is "one billion, twenty-one million, thirty thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 23 28 46 47 49 61 79 92 94 98 122 158 161 188 196 244 316 322 329 427 553 644 658 854 1081 1106 1127 1316 1403 1708 1817 2162 2212 2254 2303 2806 2867 2989 3634 3713 3871 4324 4508 4606 4819 5612 5734 5978 7268 7426 7567 7742 9212 9638 9821 11468 11956 12719 14852 15134 15484 19276 19642 20069 25438 25991 30268 33733 39284 40138 50876 51982 52969 65941 67466 68747 80276 85399 89033 103964 105938 110837 131882 134932 137494 140483 170798 178066 181937 211876 221674 226493 236131 263764 274988 280966 341596 356132 363874 443348 452986 461587 472262 561932 597793 727748 775859 905972 923174 944524 1195586 1551718 1585451 1846348 2391172 3103436 3170902 3231109 4184551 5209339 5431013 6341804 6462218 8369102 10418678 10862026 11098157 12924436 16738204 20837356 21724052 22196314 36465373 44392628 72930746 145861492 255257611 510515222 1021030444