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101504405201 is a prime number
BaseRepresentation
bin101111010001000100…
…0100100111011010001
3100201000000110001012212
41132202020210323101
53130340111431301
6114344103401505
710222242131333
oct1364210447321
9321000401185
10101504405201
113a058654a91
1217809753295
1397583b4b34
144cacb8d453
1529913544bb
hex17a2224ed1

101504405201 has 2 divisors, whose sum is σ = 101504405202. Its totient is φ = 101504405200.

The previous prime is 101504405183. The next prime is 101504405227. The reversal of 101504405201 is 102504405101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89909422801 + 11594982400 = 299849^2 + 107680^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101504405201 is a prime.

It is not a weakly prime, because it can be changed into another prime (101504402201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50752202600 + 50752202601.

It is an arithmetic number, because the mean of its divisors is an integer number (50752202601).

Almost surely, 2101504405201 is an apocalyptic number.

It is an amenable number.

101504405201 is a deficient number, since it is larger than the sum of its proper divisors (1).

101504405201 is an equidigital number, since it uses as much as digits as its factorization.

101504405201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 800, while the sum is 23.

The spelling of 101504405201 in words is "one hundred one billion, five hundred four million, four hundred five thousand, two hundred one".