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1021104450 = 2325297149157
BaseRepresentation
bin111100110111001…
…101000101000010
32122011101110222100
4330313031011002
54042400320300
6245153451230
734206146622
oct7467150502
92564343870
101021104450
11484428983
12245b70b16
13133719222
1499882882
155e99e700
hex3cdcd142

1021104450 has 144 divisors (see below), whose sum is σ = 2808023400. Its totient is φ = 265973760.

The previous prime is 1021104449. The next prime is 1021104451. The reversal of 1021104450 is 544011201.

1021104450 is a `hidden beast` number, since 1 + 0 + 211 + 0 + 4 + 450 = 666.

1021104450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1021104449) and next prime (1021104451).

It can be written as a sum of positive squares in 12 ways, for example, as 10055241 + 1011049209 = 3171^2 + 31797^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021104451) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6503772 + ... + 6503928.

Almost surely, 21021104450 is an apocalyptic number.

1021104450 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 1021104450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404011700).

1021104450 is an abundant number, since it is smaller than the sum of its proper divisors (1786918950).

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

1021104450 is a wasteful number, since it uses less digits than its factorization.

1021104450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1021104450 is about 31954.7250027285. The cubic root of 1021104450 is about 1006.9859002209.

Adding to 1021104450 its reverse (544011201), we get a palindrome (1565115651).

The spelling of 1021104450 in words is "one billion, twenty-one million, one hundred four thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 97 149 150 157 194 225 291 298 314 447 450 471 485 582 745 785 873 894 942 970 1341 1413 1455 1490 1570 1746 2235 2355 2425 2682 2826 2910 3725 3925 4365 4470 4710 4850 6705 7065 7275 7450 7850 8730 11175 11775 13410 14130 14453 14550 15229 21825 22350 23393 23550 28906 30458 33525 35325 43359 43650 45687 46786 67050 70179 70650 72265 76145 86718 91374 116965 130077 137061 140358 144530 152290 210537 216795 228435 233930 260154 274122 350895 361325 380725 421074 433590 456870 584825 650385 685305 701790 722650 761450 1052685 1083975 1142175 1169650 1300770 1370610 1754475 2105370 2167950 2269121 2284350 3251925 3426525 3508950 4538242 5263425 6503850 6807363 6853050 10526850 11345605 13614726 20422089 22691210 34036815 40844178 56728025 68073630 102110445 113456050 170184075 204220890 340368150 510552225 1021104450