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211232321232032 = 2553181688106957
BaseRepresentation
bin110000000001110101011011…
…011110001101110010100000
31000200220121112122200010111002
4300001311123132031302200
5210141312243213411112
62025130442211211132
762331013556425262
oct6001653336156240
91020817478603432
10211232321232032
116133a14057a471
121b8362a4ba6aa8
1390b3178c64469
143a239adabdb32
1519649864ae1c2
hexc01d5b78dca0

211232321232032 has 48 divisors (see below), whose sum is σ = 426051056543112. Its totient is φ = 103050897730560.

The previous prime is 211232321231977. The next prime is 211232321232061. The reversal of 211232321232032 is 230232123232112.

It can be written as a sum of positive squares in 4 ways, for example, as 138186513836176 + 73045807395856 = 11755276^2 + 8546684^2 .

It is a junction number, because it is equal to n+sod(n) for n = 211232321231986 and 211232321232004.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 343746503 + ... + 344360454.

Almost surely, 2211232321232032 is an apocalyptic number.

It is an amenable number.

211232321232032 is an abundant number, since it is smaller than the sum of its proper divisors (214818735311080).

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

211232321232032 is a wasteful number, since it uses less digits than its factorization.

211232321232032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688107201 (or 688107193 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 211232321232032 its reverse (230232123232112), we get a palindrome (441464444464144).

The spelling of 211232321232032 in words is "two hundred eleven trillion, two hundred thirty-two billion, three hundred twenty-one million, two hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 32 53 106 181 212 362 424 724 848 1448 1696 2896 5792 9593 19186 38372 76744 153488 306976 688106957 1376213914 2752427828 5504855656 11009711312 22019422624 36469668721 72939337442 124547359217 145878674884 249094718434 291757349768 498189436868 583514699536 996378873736 1167029399072 1992757747472 3985515494944 6601010038501 13202020077002 26404040154004 52808080308008 105616160616016 211232321232032