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10412042025 = 35271110117851
BaseRepresentation
bin10011011001001101…
…10010011100101001
3222212122002112112010
421230212302130221
5132310440321100
64441102110133
7516006616440
oct115446623451
928778075463
1010412042025
114463365310
122026b7b349
13c9c186c18
1470ab7dd57
1540e14e750
hex26c9b2729

10412042025 has 96 divisors (see below), whose sum is σ = 21676041216. Its totient is φ = 4284000000.

The previous prime is 10412041957. The next prime is 10412042101. The reversal of 10412042025 is 52024021401.

10412042025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10412042025 - 27 = 10412041897 is a prime.

It is a super-2 number, since 2×104120420252 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10412041992 and 10412042010.

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 95 ways as a sum of consecutive naturals, for example, 574350 + ... + 592200.

It is an arithmetic number, because the mean of its divisors is an integer number (225792096).

Almost surely, 210412042025 is an apocalyptic number.

10412042025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10412042025 is an abundant number, since it is smaller than the sum of its proper divisors (11263999191).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10412042025 is a wasteful number, since it uses less digits than its factorization.

10412042025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17983 (or 17978 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 10412042025 its reverse (52024021401), we get a palindrome (62436063426).

The spelling of 10412042025 in words is "ten billion, four hundred twelve million, forty-two thousand, twenty-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 55 75 77 101 105 165 175 231 275 303 385 505 525 707 825 1111 1155 1515 1925 2121 2525 3333 3535 5555 5775 7575 7777 10605 16665 17675 17851 23331 27775 38885 53025 53553 83325 89255 116655 124957 194425 196361 267765 374871 446275 583275 589083 624785 981805 1338825 1374527 1802951 1874355 2945415 3123925 4123581 4909025 5408853 6872635 9014755 9371775 12620657 14727075 19832461 20617905 27044265 34363175 37861971 45073775 59497383 63103285 99162305 103089525 135221325 138827227 189309855 297486915 315516425 416481681 495811525 694136135 946549275 1487434575 2082408405 3470680675 10412042025