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10412042121 = 3213823108131
BaseRepresentation
bin10011011001001101…
…10010011110001001
3222212122002112122200
421230212302132021
5132310440321441
64441102110413
7516006616635
oct115446623611
928778075580
1010412042121
114463365398
122026b7b409
13c9c186c90
1470ab7ddc5
1540e14e7b6
hex26c9b2789

10412042121 has 24 divisors (see below), whose sum is σ = 16216339776. Its totient is φ = 6399565920.

The previous prime is 10412042119. The next prime is 10412042131. The reversal of 10412042121 is 12124021401.

10412042121 is a `hidden beast` number, since 104 + 120 + 421 + 21 = 666.

10412042121 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 10412042121 - 21 = 10412042119 is a prime.

It is a super-2 number, since 2×104120421212 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10412042094 and 10412042103.

It is not an unprimeable number, because it can be changed into a prime (10412042101) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 42226 + ... + 150356.

It is an arithmetic number, because the mean of its divisors is an integer number (675680824).

Almost surely, 210412042121 is an apocalyptic number.

It is an amenable number.

10412042121 is a deficient number, since it is larger than the sum of its proper divisors (5804297655).

10412042121 is a wasteful number, since it uses less digits than its factorization.

10412042121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108973 (or 108970 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10412042121 its reverse (12124021401), we get a palindrome (22536063522).

The spelling of 10412042121 in words is "ten billion, four hundred twelve million, forty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 13 39 117 823 2469 7407 10699 32097 96291 108131 324393 973179 1405703 4217109 12651327 88991813 266975439 800926317 1156893569 3470680707 10412042121