Search a number
-
+
1033011022020 = 223543461868529
BaseRepresentation
bin11110000100001000100…
…00010100100011000100
310122202101022111002120020
433002010100110203010
5113411101310201040
62110320403135140
7134426655544515
oct17020420244304
93582338432506
101033011022020
1136910887837a
121482553744b0
1376549403c73
1437dd8726a0c
151bd0e8aecd0
hexf0844148c4

1033011022020 has 96 divisors (see below), whose sum is σ = 2966120277120. Its totient is φ = 268479375360.

The previous prime is 1033011021997. The next prime is 1033011022061. The reversal of 1033011022020 is 202201103301.

It is a super-2 number, since 2×10330110220202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 755116 + ... + 1623644.

It is an arithmetic number, because the mean of its divisors is an integer number (30897086220).

Almost surely, 21033011022020 is an apocalyptic number.

1033011022020 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 1033011022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483060138560).

1033011022020 is an abundant number, since it is smaller than the sum of its proper divisors (1933109255100).

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

1033011022020 is a wasteful number, since it uses less digits than its factorization.

1033011022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869045 (or 869043 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1033011022020 its reverse (202201103301), we get a palindrome (1235212125321).

The spelling of 1033011022020 in words is "one trillion, thirty-three billion, eleven million, twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 461 516 645 860 922 1290 1383 1844 2305 2580 2766 4610 5532 6915 9220 13830 19823 27660 39646 59469 79292 99115 118938 198230 237876 297345 396460 594690 868529 1189380 1737058 2605587 3474116 4342645 5211174 8685290 10422348 13027935 17370580 26055870 37346747 52111740 74693494 112040241 149386988 186733735 224080482 373467470 400391869 448160964 560201205 746934940 800783738 1120402410 1201175607 1601567476 2001959345 2240804820 2402351214 4003918690 4804702428 6005878035 8007837380 12011756070 17216850367 24023512140 34433700734 51650551101 68867401468 86084251835 103301102202 172168503670 206602204404 258252755505 344337007340 516505511010 1033011022020