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2251010029 is a prime number
BaseRepresentation
bin1000011000101011…
…1010111111101101
312210212200011020211
42012022322333231
514102224310104
61011210542421
7106532161312
oct20612727755
95725604224
102251010029
11a55700174
12529a37a11
1329b4816c8
14174d58d09
15d2945e04
hex862bafed

2251010029 has 2 divisors, whose sum is σ = 2251010030. Its totient is φ = 2251010028.

The previous prime is 2251009997. The next prime is 2251010051. The reversal of 2251010029 is 9200101522.

It is an a-pointer prime, because the next prime (2251010051) can be obtained adding 2251010029 to its sum of digits (22).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1881217129 + 369792900 = 43373^2 + 19230^2 .

It is a cyclic number.

It is not a de Polignac number, because 2251010029 - 25 = 2251009997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2251009991 and 2251010009.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2251710029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1125505014 + 1125505015.

It is an arithmetic number, because the mean of its divisors is an integer number (1125505015).

Almost surely, 22251010029 is an apocalyptic number.

It is an amenable number.

2251010029 is a deficient number, since it is larger than the sum of its proper divisors (1).

2251010029 is an equidigital number, since it uses as much as digits as its factorization.

2251010029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 2251010029 is about 47444.8103484459. The cubic root of 2251010029 is about 1310.5667436840.

The spelling of 2251010029 in words is "two billion, two hundred fifty-one million, ten thousand, twenty-nine".