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20981232801 = 325329112
BaseRepresentation
bin10011100010100101…
…000011010010100001
32000011012220001121100
4103202211003102201
5320432143422201
613345540345013
71341635351634
oct234245032241
960135801540
1020981232801
1189973a4821
1240966a5169
131c94a73869
141030749c1b
1582be91886
hex4e29434a1

20981232801 has 27 divisors (see below), whose sum is σ = 30922773427. Its totient is φ = 13708509360.

The previous prime is 20981232773. The next prime is 20981232859. The reversal of 20981232801 is 10823218902.

The square root of 20981232801 is 144849.

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., 15125310225 + 5855922576 = 122985^2 + 76524^2 .

It is not a de Polignac number, because 20981232801 - 27 = 20981232673 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20981232101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 23030536 + ... + 23031446.

Almost surely, 220981232801 is an apocalyptic number.

20981232801 is the 144849-th square number.

20981232801 is the 72425-th centered octagonal number.

It is an amenable number.

20981232801 is a deficient number, since it is larger than the sum of its proper divisors (9941540626).

20981232801 is an frugal number, since it uses more digits than its factorization.

20981232801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1934 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

Multiplying 20981232801 by its sum of digits (36), we get a square (755324380836 = 8690942).

The spelling of 20981232801 in words is "twenty billion, nine hundred eighty-one million, two hundred thirty-two thousand, eight hundred one".

Divisors: 1 3 9 53 159 477 911 2733 2809 8199 8427 25281 48283 144849 434547 829921 2489763 2558999 7469289 7676997 23030991 43985813 131957439 395872317 2331248089 6993744267 20981232801