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212022131731 is a prime number
BaseRepresentation
bin1100010101110110000…
…0001111110000010011
3202021021012001020212121
43011131200033300103
511433210131203411
6241222430035111
721214051245514
oct3053540176023
9667235036777
10212022131731
1181a10a69763
1235111948a97
1316cbbc324a7
14a394a20a0b
1557adb17571
hex315d80fc13

212022131731 has 2 divisors, whose sum is σ = 212022131732. Its totient is φ = 212022131730.

The previous prime is 212022131729. The next prime is 212022131749. The reversal of 212022131731 is 137131220212.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 212022131731 - 21 = 212022131729 is a prime.

It is a super-3 number, since 3×2120221317313 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 212022131729, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 212022131696 and 212022131705.

It is not a weakly prime, because it can be changed into another prime (212022131791) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106011065865 + 106011065866.

It is an arithmetic number, because the mean of its divisors is an integer number (106011065866).

Almost surely, 2212022131731 is an apocalyptic number.

212022131731 is a deficient number, since it is larger than the sum of its proper divisors (1).

212022131731 is an equidigital number, since it uses as much as digits as its factorization.

212022131731 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1008, while the sum is 25.

Adding to 212022131731 its reverse (137131220212), we get a palindrome (349153351943).

The spelling of 212022131731 in words is "two hundred twelve billion, twenty-two million, one hundred thirty-one thousand, seven hundred thirty-one".