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314543040105001 is a prime number
BaseRepresentation
bin100011110000100110100001…
…0001011000000101000101001
31112020201000120021122010102011
41013201031002023000220221
5312211433121231330001
63032551024445235521
7123152661520646641
oct10741150213005051
91466630507563364
10314543040105001
119124aa55023514
122b34066b862ba1
1310668387342b86
145795d7033b521
152656ebdbddd51
hex11e13422c0a29

314543040105001 has 2 divisors, whose sum is σ = 314543040105002. Its totient is φ = 314543040105000.

The previous prime is 314543040104963. The next prime is 314543040105053. The reversal of 314543040105001 is 100501040345413.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 223577226345001 + 90965813760000 = 14952499^2 + 9537600^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-314543040105001 is a prime.

It is not a weakly prime, because it can be changed into another prime (314543040105061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157271520052500 + 157271520052501.

It is an arithmetic number, because the mean of its divisors is an integer number (157271520052501).

Almost surely, 2314543040105001 is an apocalyptic number.

It is an amenable number.

314543040105001 is a deficient number, since it is larger than the sum of its proper divisors (1).

314543040105001 is an equidigital number, since it uses as much as digits as its factorization.

314543040105001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14400, while the sum is 31.

The spelling of 314543040105001 in words is "three hundred fourteen trillion, five hundred forty-three billion, forty million, one hundred five thousand, one".