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31004233417 is a prime number
BaseRepresentation
bin11100110111111111…
…110000111011001001
32222000201221020122101
4130313333300323021
51001444040432132
622124304153401
72145212431033
oct346777607311
988021836571
1031004233417
1112170099503
126013308861
132c01455161
141701978c53
15c16d947e7
hex737ff0ec9

31004233417 has 2 divisors, whose sum is σ = 31004233418. Its totient is φ = 31004233416.

The previous prime is 31004233409. The next prime is 31004233439. The reversal of 31004233417 is 71433240013.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 25059206601 + 5945026816 = 158301^2 + 77104^2 .

It is an emirp because it is prime and its reverse (71433240013) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31004233417 - 23 = 31004233409 is a prime.

It is a super-2 number, since 2×310042334172 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (31004233487) 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, 15502116708 + 15502116709.

It is an arithmetic number, because the mean of its divisors is an integer number (15502116709).

Almost surely, 231004233417 is an apocalyptic number.

It is an amenable number.

31004233417 is a deficient number, since it is larger than the sum of its proper divisors (1).

31004233417 is an equidigital number, since it uses as much as digits as its factorization.

31004233417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6048, while the sum is 28.

It can be divided in two parts, 310042334 and 17, that added together give a triangular number (310042351 = T24901).

The spelling of 31004233417 in words is "thirty-one billion, four million, two hundred thirty-three thousand, four hundred seventeen".