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10401555415129 is a prime number
BaseRepresentation
bin1001011101011100110100…
…0001000000000001011001
31100211101020021120220020221
42113113031001000001121
52330404341141241004
634042224131120041
72122326145143304
oct227271501000131
940741207526227
1010401555415129
11335030295586a
1211bba83a43021
135a5b29abbc38
1427d61badbb3b
1513087d180354
hex975cd040059

10401555415129 has 2 divisors, whose sum is σ = 10401555415130. Its totient is φ = 10401555415128.

The previous prime is 10401555415127. The next prime is 10401555415187. The reversal of 10401555415129 is 92151455510401.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6603090843904 + 3798464571225 = 2569648^2 + 1948965^2 .

It is a cyclic number.

It is not a de Polignac number, because 10401555415129 - 21 = 10401555415127 is a prime.

Together with 10401555415127, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10401555415127) 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, 5200777707564 + 5200777707565.

It is an arithmetic number, because the mean of its divisors is an integer number (5200777707565).

Almost surely, 210401555415129 is an apocalyptic number.

It is an amenable number.

10401555415129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10401555415129 is an equidigital number, since it uses as much as digits as its factorization.

10401555415129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180000, while the sum is 43.

The spelling of 10401555415129 in words is "ten trillion, four hundred one billion, five hundred fifty-five million, four hundred fifteen thousand, one hundred twenty-nine".