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29824540201 is a prime number
BaseRepresentation
bin11011110001101011…
…100101111000101001
32211222112010121210001
4123301223211320221
5442040040241301
621411243223001
72104036260151
oct336153457051
984875117701
1029824540201
11117151a2535
125944217a61
132a73c20931
14162d013761
15b9851ac01
hex6f1ae5e29

29824540201 has 2 divisors, whose sum is σ = 29824540202. Its totient is φ = 29824540200.

The previous prime is 29824540199. The next prime is 29824540219. The reversal of 29824540201 is 10204542892.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 25178072976 + 4646467225 = 158676^2 + 68165^2 .

It is a cyclic number.

It is not a de Polignac number, because 29824540201 - 21 = 29824540199 is a prime.

Together with 29824540199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (29824540231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 14912270100 + 14912270101.

It is an arithmetic number, because the mean of its divisors is an integer number (14912270101).

Almost surely, 229824540201 is an apocalyptic number.

It is an amenable number.

29824540201 is a deficient number, since it is larger than the sum of its proper divisors (1).

29824540201 is an equidigital number, since it uses as much as digits as its factorization.

29824540201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 46080, while the sum is 37.

It can be divided in two parts, 29824 and 540201, that added together give a square (570025 = 7552).

The spelling of 29824540201 in words is "twenty-nine billion, eight hundred twenty-four million, five hundred forty thousand, two hundred one".