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1333201020 = 2235373111931
BaseRepresentation
bin100111101110111…
…0000100001111100
310102220122121222120
41033131300201330
510212244413040
6340143042540
745016010304
oct11735604174
93386577876
101333201020
11624614728
123125a0450
13183290c58
14c90c4604
157c09c7d0
hex4f77087c

1333201020 has 96 divisors (see below), whose sum is σ = 3848173056. Its totient is φ = 344620800.

The previous prime is 1333201019. The next prime is 1333201027. The reversal of 1333201020 is 201023331.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1333201027) by changing a digit.

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, 689455 + ... + 691385.

It is an arithmetic number, because the mean of its divisors is an integer number (40085136).

Almost surely, 21333201020 is an apocalyptic number.

1333201020 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 1333201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1924086528).

1333201020 is an abundant number, since it is smaller than the sum of its proper divisors (2514972036).

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

1333201020 is a wasteful number, since it uses less digits than its factorization.

1333201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2291 (or 2289 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 1333201020 is about 36513.0253471278. The cubic root of 1333201020 is about 1100.6060076771.

Adding to 1333201020 its reverse (201023331), we get a palindrome (1534224351).

The spelling of 1333201020 in words is "one billion, three hundred thirty-three million, two hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 311 370 444 555 622 740 933 1110 1244 1555 1866 1931 2220 3110 3732 3862 4665 5793 6220 7724 9330 9655 11507 11586 18660 19310 23014 23172 28965 34521 38620 46028 57535 57930 69042 71447 115070 115860 138084 142894 172605 214341 230140 285788 345210 357235 428682 600541 690420 714470 857364 1071705 1201082 1428940 1801623 2143410 2402164 3002705 3603246 4286820 6005410 7206492 9008115 12010820 18016230 22220017 36032460 44440034 66660051 88880068 111100085 133320102 222200170 266640204 333300255 444400340 666600510 1333201020