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202114214329 is a prime number
BaseRepresentation
bin1011110000111011110…
…0100010100110111001
3201022200200112220022211
42330032330202212321
511302412214324304
6232503333015121
720413402322116
oct2741674424671
9638620486284
10202114214329
1178797228775
12332077844a1
13160a0345b81
149ad4bcb90d
1553cdd98204
hex2f0ef229b9

202114214329 has 2 divisors, whose sum is σ = 202114214330. Its totient is φ = 202114214328.

The previous prime is 202114214287. The next prime is 202114214347. The reversal of 202114214329 is 923412411202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 200668161600 + 1446052729 = 447960^2 + 38027^2 .

It is a cyclic number.

It is not a de Polignac number, because 202114214329 - 235 = 167754475961 is a prime.

It is a super-3 number, since 3×2021142143293 (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 202114214329.

It is not a weakly prime, because it can be changed into another prime (202114014329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101057107164 + 101057107165.

It is an arithmetic number, because the mean of its divisors is an integer number (101057107165).

Almost surely, 2202114214329 is an apocalyptic number.

It is an amenable number.

202114214329 is a deficient number, since it is larger than the sum of its proper divisors (1).

202114214329 is an equidigital number, since it uses as much as digits as its factorization.

202114214329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 31.

The spelling of 202114214329 in words is "two hundred two billion, one hundred fourteen million, two hundred fourteen thousand, three hundred twenty-nine".