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31001012213 is a prime number
BaseRepresentation
bin11100110111110011…
…011110011111110101
32222000111212120222112
4130313303132133311
51001442224342323
622124111140405
72145143153543
oct346763363765
988014776875
1031001012213
1112169299356
126012214705
132c00897c12
14170137ad93
15c1695a178
hex737cde7f5

31001012213 has 2 divisors, whose sum is σ = 31001012214. Its totient is φ = 31001012212.

The previous prime is 31001012197. The next prime is 31001012221. The reversal of 31001012213 is 31221010013.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30485858404 + 515153809 = 174602^2 + 22697^2 .

It is an emirp because it is prime and its reverse (31221010013) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31001012213 - 24 = 31001012197 is a prime.

It is a super-2 number, since 2×310010122132 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31001002213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15500506106 + 15500506107.

It is an arithmetic number, because the mean of its divisors is an integer number (15500506107).

Almost surely, 231001012213 is an apocalyptic number.

It is an amenable number.

31001012213 is a deficient number, since it is larger than the sum of its proper divisors (1).

31001012213 is an equidigital number, since it uses as much as digits as its factorization.

31001012213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 31001012213 its reverse (31221010013), we get a palindrome (62222022226).

It can be divided in two parts, 310010 and 12213, that added together give a palindrome (322223).

The spelling of 31001012213 in words is "thirty-one billion, one million, twelve thousand, two hundred thirteen".