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20132133021 = 32711136593391
BaseRepresentation
bin10010101111111101…
…111111100010011101
31220222001011022200100
4102233331333202131
5312212311224041
613125405251313
71311615210240
oct225775774235
956861138610
1020132133021
1185a1078570
123a9a263b39
131b8ab8c260
14d8da7d257
157cc66b6b6
hex4aff7f89d

20132133021 has 96 divisors (see below), whose sum is σ = 39114915840. Its totient is φ = 9636278400.

The previous prime is 20132133019. The next prime is 20132133041. The reversal of 20132133021 is 12033123102.

It is not a de Polignac number, because 20132133021 - 21 = 20132133019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20132132985 and 20132133003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20132133041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5935236 + ... + 5938626.

It is an arithmetic number, because the mean of its divisors is an integer number (407447040).

Almost surely, 220132133021 is an apocalyptic number.

20132133021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20132133021 is a deficient number, since it is larger than the sum of its proper divisors (18982782819).

20132133021 is a wasteful number, since it uses less digits than its factorization.

20132133021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4087 (or 4084 counting only the distinct ones).

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

Adding to 20132133021 its reverse (12033123102), we get a palindrome (32165256123).

The spelling of 20132133021 in words is "twenty billion, one hundred thirty-two million, one hundred thirty-three thousand, twenty-one".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 117 143 231 273 429 659 693 819 1001 1287 1977 3003 3391 4613 5931 7249 8567 9009 10173 13839 21747 23737 25701 30519 37301 41517 44083 50743 59969 65241 71211 77103 94237 111903 132249 152229 179907 213633 261107 282711 308581 335709 396747 456687 484913 539721 659659 783321 848133 925743 1454739 1978977 2234669 2349963 2777229 3394391 4364217 5936931 6704007 10183173 15642683 20112021 24581359 29050697 30549519 46928049 73744077 87152091 140784147 172069513 203354879 221232231 261456273 319557667 516208539 610064637 958673001 1548625617 1830193911 2236903669 2876019003 6710711007 20132133021