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403251004100141 is a prime number
BaseRepresentation
bin101101110110000010011000…
…0110110101100111000101101
31221212210102022211000211011022
41123230010300312230320231
5410323331024022201031
63545350542011303525
7150636631541555021
oct13354046066547055
91855712284024138
10403251004100141
1110754087709a94a
12392888b544aba5
1314401539181022
14718164a44a381
15319473d8cc97b
hex16ec130dace2d

403251004100141 has 2 divisors, whose sum is σ = 403251004100142. Its totient is φ = 403251004100140.

The previous prime is 403251004100101. The next prime is 403251004100227. The reversal of 403251004100141 is 141001400152304.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 220992634004041 + 182258370096100 = 14865821^2 + 13500310^2 .

It is a cyclic number.

It is not a de Polignac number, because 403251004100141 - 210 = 403251004099117 is a prime.

It is a super-2 number, since 2×4032510041001412 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 403251004100141.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (403251004100101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 201625502050070 + 201625502050071.

It is an arithmetic number, because the mean of its divisors is an integer number (201625502050071).

Almost surely, 2403251004100141 is an apocalyptic number.

It is an amenable number.

403251004100141 is a deficient number, since it is larger than the sum of its proper divisors (1).

403251004100141 is an equidigital number, since it uses as much as digits as its factorization.

403251004100141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 403251004100141 its reverse (141001400152304), we get a palindrome (544252404252445).

The spelling of 403251004100141 in words is "four hundred three trillion, two hundred fifty-one billion, four million, one hundred thousand, one hundred forty-one".