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212401621257 = 3747443485777
BaseRepresentation
bin1100010111010000011…
…1111000100100001001
3202022020122010022122020
43011310013320210021
511434444303340012
6241324223515053
721226336664130
oct3056407704411
9668218108566
10212401621257
11820961a5871
12351b8a58a89
131704c7421c7
14a3cd1a6917
1557d20c8a8c
hex31741f8909

212401621257 has 32 divisors (see below), whose sum is σ = 331292823552. Its totient is φ = 118521571584.

The previous prime is 212401621213. The next prime is 212401621259. The reversal of 212401621257 is 752126104212.

It is not a de Polignac number, because 212401621257 - 214 = 212401604873 is a prime.

It is a super-2 number, since 2×2124016212572 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212401621259) 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, 194353 + ... + 680129.

It is an arithmetic number, because the mean of its divisors is an integer number (10352900736).

Almost surely, 2212401621257 is an apocalyptic number.

It is an amenable number.

212401621257 is a deficient number, since it is larger than the sum of its proper divisors (118891202295).

212401621257 is a wasteful number, since it uses less digits than its factorization.

212401621257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486277.

The product of its (nonzero) digits is 13440, while the sum is 33.

Adding to 212401621257 its reverse (752126104212), we get a palindrome (964527725469).

The spelling of 212401621257 in words is "two hundred twelve billion, four hundred one million, six hundred twenty-one thousand, two hundred fifty-seven".

Divisors: 1 3 7 21 47 141 329 443 987 1329 3101 9303 20821 62463 145747 437241 485777 1457331 3400439 10201317 22831519 68494557 159820633 215199211 479461899 645597633 1506394477 4519183431 10114362917 30343088751 70800540419 212401621257