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31434243413 is a prime number
BaseRepresentation
bin11101010001101000…
…000111110101010101
310000010201002000110112
4131101220013311111
51003334131242123
622235104532405
72161653442346
oct352150076525
9100121060415
1031434243413
11123708a1371
126113321105
132c6c573141
141742b120cd
15c3e9d4d78
hex751a07d55

31434243413 has 2 divisors, whose sum is σ = 31434243414. Its totient is φ = 31434243412.

The previous prime is 31434243391. The next prime is 31434243457.

31434243413 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20049993604 + 11384249809 = 141598^2 + 106697^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 31434243413 - 26 = 31434243349 is a prime.

It is a super-2 number, since 2×314342434132 (a number of 22 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 31434243413.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31434240413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15717121706 + 15717121707.

It is an arithmetic number, because the mean of its divisors is an integer number (15717121707).

Almost surely, 231434243413 is an apocalyptic number.

It is an amenable number.

31434243413 is a deficient number, since it is larger than the sum of its proper divisors (1).

31434243413 is an equidigital number, since it uses as much as digits as its factorization.

31434243413 is an evil number, because the sum of its binary digits is even.

The product of its digits is 41472, while the sum is 32.

The spelling of 31434243413 in words is "thirty-one billion, four hundred thirty-four million, two hundred forty-three thousand, four hundred thirteen".