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1033413012 = 2233101211449
BaseRepresentation
bin111101100110001…
…010000110010100
32200000112211011000
4331212022012110
54104023204022
6250313343300
734415602632
oct7546120624
92600484130
101033413012
11490375545
1224a107b30
131361387b8
149b368352
1560ad16ac
hex3d98a194

1033413012 has 96 divisors (see below), whose sum is σ = 2724624000. Its totient is φ = 338688000.

The previous prime is 1033412987. The next prime is 1033413047. The reversal of 1033413012 is 2103143301.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2301364 + ... + 2301812.

It is an arithmetic number, because the mean of its divisors is an integer number (28381500).

Almost surely, 21033413012 is an apocalyptic number.

1033413012 is a gapful number since it is divisible by the number (12) 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 1033413012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362312000).

1033413012 is an abundant number, since it is smaller than the sum of its proper divisors (1691210988).

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

1033413012 is a wasteful number, since it uses less digits than its factorization.

1033413012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1033413012 is about 32146.7418566797. The cubic root of 1033413012 is about 1011.0158755619.

Adding to 1033413012 its reverse (2103143301), we get a palindrome (3136556313).

The spelling of 1033413012 in words is "one billion, thirty-three million, four hundred thirteen thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 101 108 202 211 303 404 422 449 606 633 844 898 909 1212 1266 1347 1796 1818 1899 2532 2694 2727 3636 3798 4041 5388 5454 5697 7596 8082 10908 11394 12123 16164 21311 22788 24246 42622 45349 48492 63933 85244 90698 94739 127866 136047 181396 189478 191799 255732 272094 284217 378956 383598 408141 544188 568434 575397 767196 816282 852651 1136868 1150794 1224423 1632564 1705302 2301588 2448846 2557953 3410604 4897692 5115906 9568639 10231812 19137278 28705917 38274556 57411834 86117751 114823668 172235502 258353253 344471004 516706506 1033413012