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10122200011229 is a prime number
BaseRepresentation
bin1001001101001100001000…
…1000101101000111011101
31022211200011112010000101012
42103103002020231013131
52311320231200324404
633310024031225005
72063206360323515
oct223230210550735
938750145100335
1010122200011229
11325288a026139
121175900378165
1358569a079387
1426dcba716845
1512847d118a6e
hex934c222d1dd

10122200011229 has 2 divisors, whose sum is σ = 10122200011230. Its totient is φ = 10122200011228.

The previous prime is 10122200011181. The next prime is 10122200011237. The reversal of 10122200011229 is 92211000222101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7028463765625 + 3093736245604 = 2651125^2 + 1758902^2 .

It is a cyclic number.

It is not a de Polignac number, because 10122200011229 - 212 = 10122200007133 is a prime.

It is a super-3 number, since 3×101222000112293 (a number of 40 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10122200013229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061100005614 + 5061100005615.

It is an arithmetic number, because the mean of its divisors is an integer number (5061100005615).

Almost surely, 210122200011229 is an apocalyptic number.

It is an amenable number.

10122200011229 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122200011229 is an equidigital number, since it uses as much as digits as its factorization.

10122200011229 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 10122200011229 in words is "ten trillion, one hundred twenty-two billion, two hundred million, eleven thousand, two hundred twenty-nine".