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31212000102013 is a prime number
BaseRepresentation
bin1110001100011000111000…
…01011011100011001111101
311002111211121221201012202021
413012030130023130121331
513042334134011231023
6150214332255400141
76400664313312343
oct706143413343175
9132454557635667
1031212000102013
119a43a313a9425
123601117823051
131455381bc6023
1479c95151b993
15391d6825535d
hex1c631c2dc67d

31212000102013 has 2 divisors, whose sum is σ = 31212000102014. Its totient is φ = 31212000102012.

The previous prime is 31212000101999. The next prime is 31212000102047. The reversal of 31212000102013 is 31020100021213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30309572300569 + 902427801444 = 5505413^2 + 949962^2 .

It is a cyclic number.

It is not a de Polignac number, because 31212000102013 - 25 = 31212000101981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31212000102713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15606000051006 + 15606000051007.

It is an arithmetic number, because the mean of its divisors is an integer number (15606000051007).

Almost surely, 231212000102013 is an apocalyptic number.

It is an amenable number.

31212000102013 is a deficient number, since it is larger than the sum of its proper divisors (1).

31212000102013 is an equidigital number, since it uses as much as digits as its factorization.

31212000102013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 31212000102013 its reverse (31020100021213), we get a palindrome (62232100123226).

The spelling of 31212000102013 in words is "thirty-one trillion, two hundred twelve billion, one hundred two thousand, thirteen".