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1000212012131 is a prime number
BaseRepresentation
bin11101000111000010100…
…10000001110001100011
310112121201111100202110012
432203201102001301203
5112341413233342011
62043254022355135
7132156120553133
oct16434122016143
93477644322405
101000212012131
11356207672832
12141a20b8baab
137342019a4c7
14365a6674ac3
151b040194a8b
hexe8e1481c63

1000212012131 has 2 divisors, whose sum is σ = 1000212012132. Its totient is φ = 1000212012130.

The previous prime is 1000212012103. The next prime is 1000212012181. The reversal of 1000212012131 is 1312102120001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1000212012131 - 214 = 1000211995747 is a prime.

It is a super-2 number, since 2×10002120121312 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1000212012181) 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, 500106006065 + 500106006066.

It is an arithmetic number, because the mean of its divisors is an integer number (500106006066).

Almost surely, 21000212012131 is an apocalyptic number.

1000212012131 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000212012131 is an equidigital number, since it uses as much as digits as its factorization.

1000212012131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 1000212012131 its reverse (1312102120001), we get a palindrome (2312314132132).

The spelling of 1000212012131 in words is "one trillion, two hundred twelve million, twelve thousand, one hundred thirty-one".