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10413200331 = 3216712595503
BaseRepresentation
bin10011011001010110…
…01101001111001011
3222212201021101102100
421230223031033023
5132311234402311
64441143004443
7516022512432
oct115453151713
928781241370
1010413200331
114463a86596
122027439723
13c9c4a1201
1470ada2119
1540e2cca56
hex26cacd3cb

10413200331 has 24 divisors (see below), whose sum is σ = 15146127360. Its totient is φ = 6893829936.

The previous prime is 10413200323. The next prime is 10413200333. The reversal of 10413200331 is 13300231401.

10413200331 is a `hidden beast` number, since 10 + 4 + 1 + 320 + 0 + 331 = 666.

It is not a de Polignac number, because 10413200331 - 23 = 10413200323 is a prime.

It is a super-2 number, since 2×104132003312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10413200333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1889526 + ... + 1895028.

It is an arithmetic number, because the mean of its divisors is an integer number (631088640).

Almost surely, 210413200331 is an apocalyptic number.

10413200331 is a deficient number, since it is larger than the sum of its proper divisors (4732927029).

10413200331 is a wasteful number, since it uses less digits than its factorization.

10413200331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6935 (or 6932 counting only the distinct ones).

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

Adding to 10413200331 its reverse (13300231401), we get a palindrome (23713431732).

The spelling of 10413200331 in words is "ten billion, four hundred thirteen million, two hundred thousand, three hundred thirty-one".

Divisors: 1 3 9 167 501 1259 1503 3777 5503 11331 16509 49527 210253 630759 919001 1892277 2757003 6928277 8271009 20784831 62354493 1157022259 3471066777 10413200331