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1033011020200 = 2352107337143239
BaseRepresentation
bin11110000100001000100…
…00010100000110101000
310122202101022111000001211
433002010100110012220
5113411101310121300
62110320403122504
7134426655536305
oct17020420240650
93582338430054
101033011020200
11369108876a75
12148255373434
13765494031a3
1437dd87260ac
151bd0e8ae4ba
hexf0844141a8

1033011020200 has 96 divisors (see below), whose sum is σ = 2431407326400. Its totient is φ = 408125168640.

The previous prime is 1033011020149. The next prime is 1033011020201. The reversal of 1033011020200 is 20201103301.

It is a super-2 number, since 2×10330110202002 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1033011020201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7140181 + ... + 7283419.

It is an arithmetic number, because the mean of its divisors is an integer number (25327159650).

Almost surely, 21033011020200 is an apocalyptic number.

1033011020200 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 1033011020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215703663200).

1033011020200 is an abundant number, since it is smaller than the sum of its proper divisors (1398396306200).

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

1033011020200 is a wasteful number, since it uses less digits than its factorization.

1033011020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143699 (or 143690 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 1033011020200 its reverse (20201103301), we get a palindrome (1053212123501).

The spelling of 1033011020200 in words is "one trillion, thirty-three billion, eleven million, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 107 200 214 337 428 535 674 856 1070 1348 1685 2140 2675 2696 3370 4280 5350 6740 8425 10700 13480 16850 21400 33700 36059 67400 72118 143239 144236 180295 286478 288472 360590 572956 716195 721180 901475 1145912 1432390 1442360 1802950 2864780 3580975 3605900 5729560 7161950 7211800 14323900 15326573 28647800 30653146 48271543 61306292 76632865 96543086 122612584 153265730 193086172 241357715 306531460 383164325 386172344 482715430 613062920 766328650 965430860 1206788575 1532657300 1930861720 2413577150 3065314600 4827154300 5165055101 9654308600 10330110202 20660220404 25825275505 41320440808 51650551010 103301102020 129126377525 206602204040 258252755050 516505510100 1033011020200