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10187406001 is a prime number
BaseRepresentation
bin10010111110011011…
…10111101010110001
3222021222101211211101
421133031313222301
5131330433443001
64402515244401
7510311344063
oct113715675261
928258354741
1010187406001
114358585a03
121b838a9701
13c647852b6
146c8dc7733
153e957aa01
hex25f377ab1

10187406001 has 2 divisors, whose sum is σ = 10187406002. Its totient is φ = 10187406000.

The previous prime is 10187405951. The next prime is 10187406013. The reversal of 10187406001 is 10060478101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6797837601 + 3389568400 = 82449^2 + 58220^2 .

It is a cyclic number.

It is not a de Polignac number, because 10187406001 - 29 = 10187405489 is a prime.

It is not a weakly prime, because it can be changed into another prime (10187406071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5093703000 + 5093703001.

It is an arithmetic number, because the mean of its divisors is an integer number (5093703001).

Almost surely, 210187406001 is an apocalyptic number.

It is an amenable number.

10187406001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10187406001 is an equidigital number, since it uses as much as digits as its factorization.

10187406001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 28.

The spelling of 10187406001 in words is "ten billion, one hundred eighty-seven million, four hundred six thousand, one".