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42351284677081 is a prime number
BaseRepresentation
bin10011010000100101011010…
…10001110110100111011001
312112221202001211212102022011
421220102231101312213121
521022340412334131311
6230023524523025521
711630531213041222
oct1150225521664731
9175852054772264
1042351284677081
11125490961170a6
1248bbb6766b2a1
131a8292a8cbab3
14a65b55290249
154d69c2913321
hex2684ad4769d9

42351284677081 has 2 divisors, whose sum is σ = 42351284677082. Its totient is φ = 42351284677080.

The previous prime is 42351284677007. The next prime is 42351284677103. The reversal of 42351284677081 is 18077648215324.

It is a happy number.

42351284677081 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., 39130767300681 + 3220517376400 = 6255459^2 + 1794580^2 .

It is a cyclic number.

It is not a de Polignac number, because 42351284677081 - 227 = 42351150459353 is a prime.

It is a super-2 number, since 2×423512846770812 (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (42351284677001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21175642338540 + 21175642338541.

It is an arithmetic number, because the mean of its divisors is an integer number (21175642338541).

Almost surely, 242351284677081 is an apocalyptic number.

It is an amenable number.

42351284677081 is a deficient number, since it is larger than the sum of its proper divisors (1).

42351284677081 is an equidigital number, since it uses as much as digits as its factorization.

42351284677081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18063360, while the sum is 58.

The spelling of 42351284677081 in words is "forty-two trillion, three hundred fifty-one billion, two hundred eighty-four million, six hundred seventy-seven thousand, eighty-one".