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10041200400997 is a prime number
BaseRepresentation
bin1001001000011110011000…
…1011101101101001100101
31022112221002112001110221001
42102013212023231221211
52304003334300312442
633204510324353301
72054311210103413
oct222074613555145
938487075043831
1010041200400997
1132214a39420a7
121162075845831
1357ab5bb1291c
14269dd4cd22b3
151262dbee42b7
hex921e62eda65

10041200400997 has 2 divisors, whose sum is σ = 10041200400998. Its totient is φ = 10041200400996.

The previous prime is 10041200400953. The next prime is 10041200401033. The reversal of 10041200400997 is 79900400214001.

10041200400997 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., 8873523491716 + 1167676909281 = 2978846^2 + 1080591^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10041200400997 is a prime.

It is a super-3 number, since 3×100412004009973 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10041200400947) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5020600200498 + 5020600200499.

It is an arithmetic number, because the mean of its divisors is an integer number (5020600200499).

Almost surely, 210041200400997 is an apocalyptic number.

It is an amenable number.

10041200400997 is a deficient number, since it is larger than the sum of its proper divisors (1).

10041200400997 is an equidigital number, since it uses as much as digits as its factorization.

10041200400997 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18144, while the sum is 37.

Adding to 10041200400997 its reverse (79900400214001), we get a palindrome (89941600614998).

The spelling of 10041200400997 in words is "ten trillion, forty-one billion, two hundred million, four hundred thousand, nine hundred ninety-seven".