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31003300121 is a prime number
BaseRepresentation
bin11100110111111100…
…001101000100011001
32222000200011211101212
4130313330031010121
51001443321100441
622124232152505
72145201463043
oct346774150431
988020154355
1031003300121
111216a611292
126012b38735
132c011b9401
1417017b4a93
15c16c5ceeb
hex737f0d119

31003300121 has 2 divisors, whose sum is σ = 31003300122. Its totient is φ = 31003300120.

The previous prime is 31003300099. The next prime is 31003300177. The reversal of 31003300121 is 12100330013.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16780352521 + 14222947600 = 129539^2 + 119260^2 .

It is an emirp because it is prime and its reverse (12100330013) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31003300121 - 26 = 31003300057 is a prime.

It is a super-2 number, since 2×310033001212 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31003300096 and 31003300105.

It is not a weakly prime, because it can be changed into another prime (31003305121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15501650060 + 15501650061.

It is an arithmetic number, because the mean of its divisors is an integer number (15501650061).

Almost surely, 231003300121 is an apocalyptic number.

It is an amenable number.

31003300121 is a deficient number, since it is larger than the sum of its proper divisors (1).

31003300121 is an equidigital number, since it uses as much as digits as its factorization.

31003300121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 31003300121 its reverse (12100330013), we get a palindrome (43103630134).

It can be divided in two parts, 3100330012 and 1, that added together give a palindrome (3100330013).

The spelling of 31003300121 in words is "thirty-one billion, three million, three hundred thousand, one hundred twenty-one".