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31961744369 is a prime number
BaseRepresentation
bin11101110001000100…
…011000001111110001
310001111110122211201222
4131301010120033301
51010424201304434
622403311034425
72211020226122
oct356104301761
9101443584658
1031961744369
1112611631675
12623bb0ba15
133024936899
141792bc6049
15c70e8172e
hex7711183f1

31961744369 has 2 divisors, whose sum is σ = 31961744370. Its totient is φ = 31961744368.

The previous prime is 31961744327. The next prime is 31961744401. The reversal of 31961744369 is 96344716913.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17450410000 + 14511334369 = 132100^2 + 120463^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31961744369 is a prime.

It is a super-2 number, since 2×319617443692 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31961744369.

It is not a weakly prime, because it can be changed into another prime (31961744569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15980872184 + 15980872185.

It is an arithmetic number, because the mean of its divisors is an integer number (15980872185).

Almost surely, 231961744369 is an apocalyptic number.

It is an amenable number.

31961744369 is a deficient number, since it is larger than the sum of its proper divisors (1).

31961744369 is an equidigital number, since it uses as much as digits as its factorization.

31961744369 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2939328, while the sum is 53.

The spelling of 31961744369 in words is "thirty-one billion, nine hundred sixty-one million, seven hundred forty-four thousand, three hundred sixty-nine".