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412024413213 = 327173023127261
BaseRepresentation
bin1011111111011101001…
…00011001110000011101
31110101111200121211222100
411333232210121300131
523222311222210323
6513140441035313
741524230504210
oct5775644316035
91411450554870
10412024413213
11149814048a86
1267a2a185b39
132cb1386cc4a
1415d29137777
15aab738c943
hex5fee919c1d

412024413213 has 48 divisors (see below), whose sum is σ = 720421019136. Its totient is φ = 221517918720.

The previous prime is 412024413173. The next prime is 412024413233. The reversal of 412024413213 is 312314420214.

412024413213 is a `hidden beast` number, since 4 + 1 + 2 + 0 + 2 + 441 + 3 + 213 = 666.

It is not a de Polignac number, because 412024413213 - 26 = 412024413149 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412024413233) 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 47 ways as a sum of consecutive naturals, for example, 3174003 + ... + 3301263.

It is an arithmetic number, because the mean of its divisors is an integer number (15008771232).

Almost surely, 2412024413213 is an apocalyptic number.

It is an amenable number.

412024413213 is a deficient number, since it is larger than the sum of its proper divisors (308396605923).

412024413213 is a wasteful number, since it uses less digits than its factorization.

412024413213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130314 (or 130311 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 412024413213 its reverse (312314420214), we get a palindrome (724338833427).

The spelling of 412024413213 in words is "four hundred twelve billion, twenty-four million, four hundred thirteen thousand, two hundred thirteen".

Divisors: 1 3 7 9 17 21 51 63 119 153 357 1071 3023 9069 21161 27207 51391 63483 127261 154173 190449 359737 381783 462519 890827 1079211 1145349 2163437 2672481 3237633 6490311 8017443 15144059 19470933 45432177 136296531 384710003 1154130009 2692970021 3462390027 6540070051 8078910063 19620210153 24236730189 45780490357 58860630459 137341471071 412024413213