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2013129997 is a prime number
BaseRepresentation
bin111011111111101…
…1110110100001101
312012022001121012021
41313333132310031
513110330124442
6531432210141
7100613215444
oct16777366415
95168047167
102013129997
119433a53aa
12482239951
132610c37a8
14151515d5b
15bbb07e67
hex77fded0d

2013129997 has 2 divisors, whose sum is σ = 2013129998. Its totient is φ = 2013129996.

The previous prime is 2013129983. The next prime is 2013130051. The reversal of 2013129997 is 7999213102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2009370276 + 3759721 = 44826^2 + 1939^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013129997 - 219 = 2012605709 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2013129907) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006564998 + 1006564999.

It is an arithmetic number, because the mean of its divisors is an integer number (1006564999).

Almost surely, 22013129997 is an apocalyptic number.

It is an amenable number.

2013129997 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013129997 is an equidigital number, since it uses as much as digits as its factorization.

2013129997 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 61236, while the sum is 43.

The square root of 2013129997 is about 44867.9172349241. The cubic root of 2013129997 is about 1262.6721648948.

The spelling of 2013129997 in words is "two billion, thirteen million, one hundred twenty-nine thousand, nine hundred ninety-seven".