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1032011220 = 2235197312401
BaseRepresentation
bin111101100000110…
…011110111010100
32122220220121020210
4331200303313110
54103143324340
6250223325420
734400644032
oct7540636724
92586817223
101032011220
1148a5a8339
12249750870
13135a67736
149b0c1552
1560906180
hex3d833dd4

1032011220 has 96 divisors (see below), whose sum is σ = 3083633280. Its totient is φ = 257126400.

The previous prime is 1032011213. The next prime is 1032011257. The reversal of 1032011220 is 221102301.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1032011196 and 1032011205.

It is a congruent number.

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, 77020 + ... + 89420.

It is an arithmetic number, because the mean of its divisors is an integer number (32121180).

Almost surely, 21032011220 is an apocalyptic number.

1032011220 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 1032011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541816640).

1032011220 is an abundant number, since it is smaller than the sum of its proper divisors (2051622060).

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

1032011220 is a wasteful number, since it uses less digits than its factorization.

1032011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12505 (or 12503 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1032011220 is about 32124.9314396156. The cubic root of 1032011220 is about 1010.5585317106.

Adding to 1032011220 its reverse (221102301), we get a palindrome (1253113521).

The spelling of 1032011220 in words is "one billion, thirty-two million, eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 73 76 95 114 146 190 219 228 285 292 365 380 438 570 730 876 1095 1140 1387 1460 2190 2774 4161 4380 5548 6935 8322 12401 13870 16644 20805 24802 27740 37203 41610 49604 62005 74406 83220 124010 148812 186015 235619 248020 372030 471238 706857 744060 905273 942476 1178095 1413714 1810546 2356190 2715819 2827428 3534285 3621092 4526365 4712380 5431638 7068570 9052730 10863276 13579095 14137140 17200187 18105460 27158190 34400374 51600561 54316380 68800748 86000935 103201122 172001870 206402244 258002805 344003740 516005610 1032011220