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433242403121 = 1131241999611
BaseRepresentation
bin1100100110111110100…
…00100111000100110001
31112102021102000102021102
412103133100213010301
524044240023344441
6531010120134145
743205102444123
oct6233720470461
91472242012242
10433242403121
11157812050930
126bb70007355
1331b1569a568
1416d7d0b3213
15b409ee969b
hex64df427131

433242403121 has 24 divisors (see below), whose sum is σ = 500277816864. Its totient is φ = 371854920000.

The previous prime is 433242403109. The next prime is 433242403123. The reversal of 433242403121 is 121304242334.

It is not a de Polignac number, because 433242403121 - 226 = 433175294257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (433242403123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66395 + ... + 933216.

It is an arithmetic number, because the mean of its divisors is an integer number (20844909036).

Almost surely, 2433242403121 is an apocalyptic number.

433242403121 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

433242403121 is a deficient number, since it is larger than the sum of its proper divisors (67035413743).

433242403121 is a wasteful number, since it uses less digits than its factorization.

433242403121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999725 (or 999694 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 433242403121 its reverse (121304242334), we get a palindrome (554546645455).

The spelling of 433242403121 in words is "four hundred thirty-three billion, two hundred forty-two million, four hundred three thousand, one hundred twenty-one".

Divisors: 1 11 31 41 341 451 961 1271 10571 13981 39401 433411 999611 10995721 30987941 40984051 340867351 450824561 960626171 1270505581 10566887881 13975561391 39385673011 433242403121