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200013131377 is a prime number
BaseRepresentation
bin1011101001000110110…
…1100010111001110001
3201010021020222211100201
42322101231202321301
511234111330201002
6231515035315201
720310340364623
oct2722155427161
9633236884321
10200013131377
117790921aa84
123291bbabb01
1315b26c69117
149975b3cc13
1553096ba087
hex2e91b62e71

200013131377 has 2 divisors, whose sum is σ = 200013131378. Its totient is φ = 200013131376.

The previous prime is 200013131299. The next prime is 200013131401. The reversal of 200013131377 is 773131310002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 137332501056 + 62680630321 = 370584^2 + 250361^2 .

It is a cyclic number.

It is not a de Polignac number, because 200013131377 - 231 = 197865647729 is a prime.

It is a super-2 number, since 2×2000131313772 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (200013131677) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100006565688 + 100006565689.

It is an arithmetic number, because the mean of its divisors is an integer number (100006565689).

Almost surely, 2200013131377 is an apocalyptic number.

It is an amenable number.

200013131377 is a deficient number, since it is larger than the sum of its proper divisors (1).

200013131377 is an equidigital number, since it uses as much as digits as its factorization.

200013131377 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2646, while the sum is 28.

Adding to 200013131377 its reverse (773131310002), we get a palindrome (973144441379).

The spelling of 200013131377 in words is "two hundred billion, thirteen million, one hundred thirty-one thousand, three hundred seventy-seven".