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10414313325 = 32521313127179
BaseRepresentation
bin10011011001011110…
…11100111101101101
3222212210100221011100
421230233130331231
5132312031011300
64441222513313
7516035126343
oct115457347555
928783327140
1010414313325
114464676819
122027895839
13c9c7a09a0
1470b1b1993
1540e44c700
hex26cbdcf6d

10414313325 has 72 divisors (see below), whose sum is σ = 20242141920. Its totient is φ = 5087721600.

The previous prime is 10414313311. The next prime is 10414313333. The reversal of 10414313325 is 52331341401.

It is a happy number.

10414313325 is a `hidden beast` number, since 10 + 4 + 14 + 313 + 325 = 666.

It is not a de Polignac number, because 10414313325 - 223 = 10405924717 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 369586 + ... + 396764.

It is an arithmetic number, because the mean of its divisors is an integer number (281140860).

Almost surely, 210414313325 is an apocalyptic number.

10414313325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10414313325 is a deficient number, since it is larger than the sum of its proper divisors (9827828595).

10414313325 is a wasteful number, since it uses less digits than its factorization.

10414313325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27339 (or 27331 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 10414313325 its reverse (52331341401), we get a palindrome (62745654726).

The spelling of 10414313325 in words is "ten billion, four hundred fourteen million, three hundred thirteen thousand, three hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 131 195 225 325 393 585 655 975 1179 1703 1965 2925 3275 5109 5895 8515 9825 15327 25545 27179 29475 42575 76635 81537 127725 135895 244611 353327 383175 407685 679475 1059981 1223055 1766635 2038425 3179943 3560449 5299905 6115275 8833175 10681347 15899715 17802245 26499525 32044041 46285837 53406735 79498575 89011225 138857511 160220205 231429185 267033675 416572533 694287555 801101025 1157145925 2082862665 3471437775 10414313325