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1073105220 = 2235112396803
BaseRepresentation
bin111111111101100…
…100100101000100
32202210020101121210
4333331210211010
54144203331340
6254252211420
735410146435
oct7775444504
92683211553
101073105220
11500815920
1225b469b70
13141425205
14a273b48c
1564322180
hex3ff64944

1073105220 has 96 divisors (see below), whose sum is σ = 3292047360. Its totient is φ = 259020160.

The previous prime is 1073105219. The next prime is 1073105239. The reversal of 1073105220 is 225013701.

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, 154339 + ... + 161141.

It is an arithmetic number, because the mean of its divisors is an integer number (34292160).

Almost surely, 21073105220 is an apocalyptic number.

1073105220 is a gapful number since it is divisible by the number (10) 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 1073105220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646023680).

1073105220 is an abundant number, since it is smaller than the sum of its proper divisors (2218942140).

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

1073105220 is a wasteful number, since it uses less digits than its factorization.

1073105220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7065 (or 7063 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 1073105220 is about 32758.2847536314. The cubic root of 1073105220 is about 1023.7975890312.

Adding to 1073105220 its reverse (225013701), we get a palindrome (1298118921).

The spelling of 1073105220 in words is "one billion, seventy-three million, one hundred five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 239 330 478 660 717 956 1195 1434 2390 2629 2868 3585 4780 5258 6803 7170 7887 10516 13145 13606 14340 15774 20409 26290 27212 31548 34015 39435 40818 52580 68030 74833 78870 81636 102045 136060 149666 157740 204090 224499 299332 374165 408180 448998 748330 897996 1122495 1496660 1625917 2244990 3251834 4489980 4877751 6503668 8129585 9755502 16259170 17885087 19511004 24388755 32518340 35770174 48777510 53655261 71540348 89425435 97555020 107310522 178850870 214621044 268276305 357701740 536552610 1073105220