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106271489353 is a prime number
BaseRepresentation
bin110001011111001000…
…1100011110101001001
3101011022020120000022011
41202332101203311021
53220121000124403
6120453114455521
710451335520011
oct1427621436511
9334266500264
10106271489353
1141084537957
121871a1345a1
13a037c031a3
145201d40c41
152b6eaeda6d
hex18be463d49

106271489353 has 2 divisors, whose sum is σ = 106271489354. Its totient is φ = 106271489352.

The previous prime is 106271489341. The next prime is 106271489369. The reversal of 106271489353 is 353984172601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69609962569 + 36661526784 = 263837^2 + 191472^2 .

It is a cyclic number.

It is not a de Polignac number, because 106271489353 - 213 = 106271481161 is a prime.

It is a super-2 number, since 2×1062714893532 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106271489297 and 106271489306.

It is not a weakly prime, because it can be changed into another prime (106271499353) 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, 53135744676 + 53135744677.

It is an arithmetic number, because the mean of its divisors is an integer number (53135744677).

It is a 1-persistent number, because it is pandigital, but 2⋅106271489353 = 212542978706 is not.

Almost surely, 2106271489353 is an apocalyptic number.

It is an amenable number.

106271489353 is a deficient number, since it is larger than the sum of its proper divisors (1).

106271489353 is an equidigital number, since it uses as much as digits as its factorization.

106271489353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1088640, while the sum is 49.

The spelling of 106271489353 in words is "one hundred six billion, two hundred seventy-one million, four hundred eighty-nine thousand, three hundred fifty-three".