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29745211031 is a prime number
BaseRepresentation
bin11011101100111100…
…111110011010010111
32211202222212021121122
4123230330332122113
5441404233223111
621355331034155
72102054056604
oct335474763227
984688767548
1029745211031
111168443a338
12592173b95b
132a606669b3
1416226836ab
15b9159acdb
hex6ecf3e697

29745211031 has 2 divisors, whose sum is σ = 29745211032. Its totient is φ = 29745211030.

The previous prime is 29745211009. The next prime is 29745211039. The reversal of 29745211031 is 13011254792.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-29745211031 is a prime.

It is a super-2 number, since 2×297452110312 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 29745210982 and 29745211000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (29745211039) 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, 14872605515 + 14872605516.

It is an arithmetic number, because the mean of its divisors is an integer number (14872605516).

Almost surely, 229745211031 is an apocalyptic number.

29745211031 is a deficient number, since it is larger than the sum of its proper divisors (1).

29745211031 is an equidigital number, since it uses as much as digits as its factorization.

29745211031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15120, while the sum is 35.

The spelling of 29745211031 in words is "twenty-nine billion, seven hundred forty-five million, two hundred eleven thousand, thirty-one".