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31438764001 is a prime number
BaseRepresentation
bin11101010001111001…
…010111011111100001
310000011000120200112201
4131101321113133201
51003341310422001
622235345453201
72162040041041
oct352171273741
9100130520481
1031438764001
11123733a9797
126114941201
132c70496948
14174356b721
15c400c9501
hex751e577e1

31438764001 has 2 divisors, whose sum is σ = 31438764002. Its totient is φ = 31438764000.

The previous prime is 31438763999. The next prime is 31438764017. The reversal of 31438764001 is 10046783413.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17043563601 + 14395200400 = 130551^2 + 119980^2 .

It is a cyclic number.

It is not a de Polignac number, because 31438764001 - 21 = 31438763999 is a prime.

Together with 31438763999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (31438764041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15719382000 + 15719382001.

It is an arithmetic number, because the mean of its divisors is an integer number (15719382001).

Almost surely, 231438764001 is an apocalyptic number.

It is an amenable number.

31438764001 is a deficient number, since it is larger than the sum of its proper divisors (1).

31438764001 is an equidigital number, since it uses as much as digits as its factorization.

31438764001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48384, while the sum is 37.

The spelling of 31438764001 in words is "thirty-one billion, four hundred thirty-eight million, seven hundred sixty-four thousand, one".