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412122141 = 3319839679
BaseRepresentation
bin11000100100000…
…111110000011101
31001201110222022000
4120210013300131
51321000402031
6104521112513
713132660164
oct3044076035
91051428260
10412122141
111a16a5512
12b6028739
13674c7072
143ca3c3db
15262aa3e6
hex18907c1d

412122141 has 32 divisors (see below), whose sum is σ = 650496000. Its totient is φ = 257125104.

The previous prime is 412122121. The next prime is 412122181. The reversal of 412122141 is 141221214.

It is not a de Polignac number, because 412122141 - 26 = 412122077 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412122101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37740 + ... + 47418.

It is an arithmetic number, because the mean of its divisors is an integer number (20328000).

Almost surely, 2412122141 is an apocalyptic number.

It is an amenable number.

412122141 is a deficient number, since it is larger than the sum of its proper divisors (238373859).

412122141 is a wasteful number, since it uses less digits than its factorization.

412122141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9790 (or 9784 counting only the distinct ones).

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

The square root of 412122141 is about 20300.7916348107. The cubic root of 412122141 is about 744.1754106438.

Adding to 412122141 its reverse (141221214), we get a palindrome (553343355).

It can be divided in two parts, 4121 and 22141, that added together give a palindrome (26262).

The spelling of 412122141 in words is "four hundred twelve million, one hundred twenty-two thousand, one hundred forty-one".

Divisors: 1 3 9 19 27 57 83 171 249 513 747 1577 2241 4731 9679 14193 29037 42579 87111 183901 261333 551703 803357 1655109 2410071 4965327 7230213 15263783 21690639 45791349 137374047 412122141