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10413213425 = 522953457593
BaseRepresentation
bin10011011001010110…
…10000011011110001
3222212201022001101022
421230223100123301
5132311240312200
64441143145225
7516022565546
oct115453203361
928781261338
1010413213425
114463a9540a
122027445215
13c9c4a7164
1470ada6bcd
1540e2d1885
hex26cad06f1

10413213425 has 48 divisors (see below), whose sum is σ = 13662451440. Its totient is φ = 7861002240.

The previous prime is 10413213401. The next prime is 10413213431. The reversal of 10413213425 is 52431231401.

It is a happy number.

10413213425 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 24 ways, for example, as 2736649969 + 7676563456 = 52313^2 + 87616^2 .

It is not a de Polignac number, because 10413213425 - 216 = 10413147889 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10413213394 and 10413213403.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 17559929 + ... + 17560521.

It is an arithmetic number, because the mean of its divisors is an integer number (284634405).

Almost surely, 210413213425 is an apocalyptic number.

It is an amenable number.

10413213425 is a deficient number, since it is larger than the sum of its proper divisors (3249238015).

10413213425 is a wasteful number, since it uses less digits than its factorization.

10413213425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 10413213425 its reverse (52431231401), we get a palindrome (62844444826).

The spelling of 10413213425 in words is "ten billion, four hundred thirteen million, two hundred thirteen thousand, four hundred twenty-five".

Divisors: 1 5 25 29 53 145 265 457 593 725 1325 1537 2285 2965 7685 11425 13253 14825 17197 24221 31429 38425 66265 85985 121105 157145 271001 331325 429925 605525 702409 785725 911441 1355005 3512045 4557205 6775025 7859029 14363053 17560225 22786025 39295145 71815265 196475725 359076325 416528537 2082642685 10413213425