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432012101231041 = 471012393467109831
BaseRepresentation
bin110001000111010011010011…
…1110101010010000111000001
32002122121221202010101221211021
41202032212213311102013001
5423111041240403343131
64130451341450345441
7156665562412523602
oct14216464765220701
92078557663357737
10432012101231041
1111571a337681521
1240552a0a72b281
131570974933aab6
1478976d66d3da9
1534e295d49ee11
hex188e9a7d521c1

432012101231041 has 32 divisors (see below), whose sum is σ = 447569652695040. Its totient is φ = 416758369944000.

The previous prime is 432012101231023. The next prime is 432012101231047. The reversal of 432012101231041 is 140132101210234.

It is a cyclic number.

It is not a de Polignac number, because 432012101231041 - 211 = 432012101228993 is a prime.

It is a super-2 number, since 2×4320121012310412 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 432012101230997 and 432012101231015.

It is not an unprimeable number, because it can be changed into a prime (432012101231047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3933370996 + ... + 3933480826.

It is an arithmetic number, because the mean of its divisors is an integer number (13986551646720).

Almost surely, 2432012101231041 is an apocalyptic number.

It is an amenable number.

432012101231041 is a deficient number, since it is larger than the sum of its proper divisors (15557551463999).

432012101231041 is a wasteful number, since it uses less digits than its factorization.

432012101231041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113685.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 432012101231041 its reverse (140132101210234), we get a palindrome (572144202441275).

The spelling of 432012101231041 in words is "four hundred thirty-two trillion, twelve billion, one hundred one million, two hundred thirty-one thousand, forty-one".

Divisors: 1 47 101 239 3467 4747 11233 24139 109831 162949 350167 828613 1134533 5162057 11092931 16457849 26249609 38944811 83689913 380784077 521367757 1233731623 2651210509 3933425911 17896851619 38459191777 91007394403 124606893923 1807582013519 4277347536941 9191746834703 432012101231041