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2232131212221 = 3171672112395197
BaseRepresentation
bin100000011110110101011…
…000110101001110111101
321220101112001200020101120
4200132311120311032331
5243032401042242341
64425232114301153
7320160202152441
oct40366530651675
97811461606346
102232131212221
11790706972329
123007282877b9
13132648644151
147a07006c821
153d0e220b066
hex207b56353bd

2232131212221 has 64 divisors (see below), whose sum is σ = 3199080407040. Its totient is φ = 1379505576960.

The previous prime is 2232131212169. The next prime is 2232131212253. The reversal of 2232131212221 is 1222121312322.

It is not a de Polignac number, because 2232131212221 - 27 = 2232131212093 is a prime.

It is a super-3 number, since 3×22321312122213 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2232131212191 and 2232131212200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2232131212121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 429501195 + ... + 429506391.

It is an arithmetic number, because the mean of its divisors is an integer number (49985631360).

Almost surely, 22232131212221 is an apocalyptic number.

It is an amenable number.

2232131212221 is a deficient number, since it is larger than the sum of its proper divisors (966949194819).

2232131212221 is a wasteful number, since it uses less digits than its factorization.

2232131212221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5834.

The product of its digits is 1152, while the sum is 24.

Adding to 2232131212221 its reverse (1222121312322), we get a palindrome (3454252524543).

The spelling of 2232131212221 in words is "two trillion, two hundred thirty-two billion, one hundred thirty-one million, two hundred twelve thousand, two hundred twenty-one".

Divisors: 1 3 17 51 167 211 239 501 633 717 2839 3587 4063 5197 8517 10761 12189 15591 35237 39913 50429 88349 105711 119739 151287 265047 599029 678521 857293 867899 1096567 1242083 1797087 2035563 2571879 2603697 3289701 3726249 8421643 14754283 18641639 21115411 25264929 44262849 55924917 63346233 143167931 183126689 207427861 262079513 429503793 549380067 622283583 786238539 3113153713 3526273637 4455351721 9339461139 10578820911 13366055163 43767278671 131301836013 744043737407 2232131212221