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251155201229 is a prime number
BaseRepresentation
bin1110100111101000000…
…1000011110011001101
3220000021102211011021222
43221322001003303031
513103331212414404
6311213515333125
724100600662242
oct3517201036315
9800242734258
10251155201229
1197572622009
12408134511a5
131a8b74c950a
14c227ddd5c9
1567ee455dbe
hex3a7a043ccd

251155201229 has 2 divisors, whose sum is σ = 251155201230. Its totient is φ = 251155201228.

The previous prime is 251155201201. The next prime is 251155201247. The reversal of 251155201229 is 922102551152.

251155201229 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 202180626025 + 48974575204 = 449645^2 + 221302^2 .

It is a cyclic number.

It is not a de Polignac number, because 251155201229 - 220 = 251154152653 is a prime.

It is a super-2 number, since 2×2511552012292 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (251155201259) 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, 125577600614 + 125577600615.

It is an arithmetic number, because the mean of its divisors is an integer number (125577600615).

Almost surely, 2251155201229 is an apocalyptic number.

It is an amenable number.

251155201229 is a deficient number, since it is larger than the sum of its proper divisors (1).

251155201229 is an equidigital number, since it uses as much as digits as its factorization.

251155201229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18000, while the sum is 35.

The spelling of 251155201229 in words is "two hundred fifty-one billion, one hundred fifty-five million, two hundred one thousand, two hundred twenty-nine".