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42113433431129 is a prime number
BaseRepresentation
bin10011001001101010011000…
…01111010110110001011001
312112010000010120210012201112
421210311030033112301121
521004441302424244004
6225322351053230105
711604411065565404
oct1144651417266131
9175100116705645
1042113433431129
1112467230305655
124881a47792335
131a66383758488
14a5843013cd3b
154d070144ee6e
hex264d4c3d6c59

42113433431129 has 2 divisors, whose sum is σ = 42113433431130. Its totient is φ = 42113433431128.

The previous prime is 42113433431119. The next prime is 42113433431141. The reversal of 42113433431129 is 92113433431124.

42113433431129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 40773333160000 + 1340100271129 = 6385400^2 + 1157627^2 .

It is a cyclic number.

It is not a de Polignac number, because 42113433431129 - 228 = 42113164995673 is a prime.

It is not a weakly prime, because it can be changed into another prime (42113433431119) 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, 21056716715564 + 21056716715565.

It is an arithmetic number, because the mean of its divisors is an integer number (21056716715565).

Almost surely, 242113433431129 is an apocalyptic number.

It is an amenable number.

42113433431129 is a deficient number, since it is larger than the sum of its proper divisors (1).

42113433431129 is an equidigital number, since it uses as much as digits as its factorization.

42113433431129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 186624, while the sum is 41.

The spelling of 42113433431129 in words is "forty-two trillion, one hundred thirteen billion, four hundred thirty-three million, four hundred thirty-one thousand, one hundred twenty-nine".