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213001331129 is a prime number
BaseRepresentation
bin1100011001011111011…
…1100110000110111001
3202100210102120201220222
43012113313212012321
511442211320044004
6241503525425425
721250241304326
oct3062767460671
9670712521828
10213001331129
1182373775764
123534586b275
1317116a68a12
14a448ab5b4d
155819a8a7be
hex3197de61b9

213001331129 has 2 divisors, whose sum is σ = 213001331130. Its totient is φ = 213001331128.

The previous prime is 213001331041. The next prime is 213001331183. The reversal of 213001331129 is 921133100312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 168805939600 + 44195391529 = 410860^2 + 210227^2 .

It is a cyclic number.

It is not a de Polignac number, because 213001331129 - 228 = 212732895673 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213001331098 and 213001331107.

It is not a weakly prime, because it can be changed into another prime (213001331629) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106500665564 + 106500665565.

It is an arithmetic number, because the mean of its divisors is an integer number (106500665565).

Almost surely, 2213001331129 is an apocalyptic number.

It is an amenable number.

213001331129 is a deficient number, since it is larger than the sum of its proper divisors (1).

213001331129 is an equidigital number, since it uses as much as digits as its factorization.

213001331129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 26.

The spelling of 213001331129 in words is "two hundred thirteen billion, one million, three hundred thirty-one thousand, one hundred twenty-nine".