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20932013041 = 14929712
BaseRepresentation
bin10011011111101001…
…010010101111110001
32000000210021102210021
4103133221102233301
5320332043404131
613341021403441
71340500114042
oct233751225761
960023242707
1020932013041
118971637235
124082109581
131c877cc644
141027db68c9
158279bce11
hex4dfa52bf1

20932013041 has 9 divisors (see below), whose sum is σ = 21095164363. Its totient is φ = 20770117240.

The previous prime is 20932013027. The next prime is 20932013059. The reversal of 20932013041 is 14031023902.

The square root of 20932013041 is 144679.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2452329441 + 18479683600 = 49521^2 + 135940^2 .

It is not a de Polignac number, because 20932013041 - 25 = 20932013009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20932012997 and 20932013015.

It is not an unprimeable number, because it can be changed into a prime (20932013021) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 21556686 + ... + 21557656.

Almost surely, 220932013041 is an apocalyptic number.

20932013041 is the 144679-th square number.

20932013041 is the 72340-th centered octagonal number.

It is an amenable number.

20932013041 is a deficient number, since it is larger than the sum of its proper divisors (163151322).

20932013041 is an frugal number, since it uses more digits than its factorization.

20932013041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2240 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Multiplying 20932013041 by its sum of digits (25), we get a square (523300326025 = 7233952).

Multiplying 20932013041 by its product of nonzero digits (1296), we get a square (27127888901136 = 52084442).

Adding to 20932013041 its reverse (14031023902), we get a palindrome (34963036943).

The spelling of 20932013041 in words is "twenty billion, nine hundred thirty-two million, thirteen thousand, forty-one".

Divisors: 1 149 971 22201 144679 942841 21557171 140483309 20932013041