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2133321020 = 2254153191257
BaseRepresentation
bin111111100100111…
…1110010100111100
312111200012221021122
41333021332110330
513332112233040
6551404250112
7103602633545
oct17711762474
95450187248
102133321020
119a5227726
124b6540938
1327cc8663c
141634814cc
15c744a1b5
hex7f27e53c

2133321020 has 96 divisors (see below), whose sum is σ = 4718601216. Its totient is φ = 809369600.

The previous prime is 2133321013. The next prime is 2133321053. The reversal of 2133321020 is 201233312.

It is a self number, because there is not a number n which added to its sum of digits gives 2133321020.

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, 8300732 + ... + 8300988.

It is an arithmetic number, because the mean of its divisors is an integer number (49152096).

Almost surely, 22133321020 is an apocalyptic number.

2133321020 is a gapful number since it is divisible by the number (20) 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 2133321020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2359300608).

2133321020 is an abundant number, since it is smaller than the sum of its proper divisors (2585280196).

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

2133321020 is a wasteful number, since it uses less digits than its factorization.

2133321020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 2133321020 is about 46187.8882392343. Note that the first 3 decimals coincide. The cubic root of 2133321020 is about 1287.3167027209.

Adding to 2133321020 its reverse (201233312), we get a palindrome (2334554332).

It can be divided in two parts, 213 and 3321020, that added together give a palindrome (3321233).

The spelling of 2133321020 in words is "two billion, one hundred thirty-three million, three hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 41 53 82 106 164 191 205 212 257 265 382 410 514 530 764 820 955 1028 1060 1285 1910 2173 2570 3820 4346 5140 7831 8692 10123 10537 10865 13621 15662 20246 21074 21730 27242 31324 39155 40492 42148 43460 49087 50615 52685 54484 68105 78310 98174 101230 105370 136210 156620 196348 202460 210740 245435 272420 415043 490870 558461 830086 981740 1116922 1660172 2012567 2075215 2233844 2601611 2792305 4025134 4150430 5203222 5584610 8050268 8300860 10062835 10406444 11169220 13008055 20125670 26016110 40251340 52032220 106666051 213332102 426664204 533330255 1066660510 2133321020