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412133121331229 is a prime number
BaseRepresentation
bin101110110110101010011100…
…0010011000001000000011101
32000001020112121211121112001102
41131231110320103001000131
5413004342113030044404
64020311201525122445
7152544430642412264
oct13555247023010035
92001215554545042
10412133121331229
1110a355747780a11
123a2821b0559425
13148c6ca96984cc
1473ab4c707d5db
15329a7dce2171e
hex176d5384c101d

412133121331229 has 2 divisors, whose sum is σ = 412133121331230. Its totient is φ = 412133121331228.

The previous prime is 412133121331171. The next prime is 412133121331361. The reversal of 412133121331229 is 922133121331214.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 379944496387225 + 32188624944004 = 19492165^2 + 5673502^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-412133121331229 is a prime.

It is a super-2 number, since 2×4121331213312292 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 412133121331192 and 412133121331201.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (412133121337229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206066560665614 + 206066560665615.

It is an arithmetic number, because the mean of its divisors is an integer number (206066560665615).

Almost surely, 2412133121331229 is an apocalyptic number.

It is an amenable number.

412133121331229 is a deficient number, since it is larger than the sum of its proper divisors (1).

412133121331229 is an equidigital number, since it uses as much as digits as its factorization.

412133121331229 is an evil number, because the sum of its binary digits is even.

The product of its digits is 46656, while the sum is 38.

The spelling of 412133121331229 in words is "four hundred twelve trillion, one hundred thirty-three billion, one hundred twenty-one million, three hundred thirty-one thousand, two hundred twenty-nine".