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61120162177 is a prime number
BaseRepresentation
bin111000111011000010…
…111010100110000001
312211202120100221101021
4320323002322212001
52000133230142202
644024521105441
74262420543434
oct707302724601
9184676327337
1061120162177
1123a14813528
12ba19028281
1359c084a049
142d5b55d81b
1518cac6ca37
hexe3b0ba981

61120162177 has 2 divisors, whose sum is σ = 61120162178. Its totient is φ = 61120162176.

The previous prime is 61120162153. The next prime is 61120162189. The reversal of 61120162177 is 77126102116.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57157333776 + 3962828401 = 239076^2 + 62951^2 .

It is a cyclic number.

It is not a de Polignac number, because 61120162177 - 215 = 61120129409 is a prime.

It is a super-3 number, since 3×611201621773 (a number of 33 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (61120162127) 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, 30560081088 + 30560081089.

It is an arithmetic number, because the mean of its divisors is an integer number (30560081089).

Almost surely, 261120162177 is an apocalyptic number.

It is an amenable number.

61120162177 is a deficient number, since it is larger than the sum of its proper divisors (1).

61120162177 is an equidigital number, since it uses as much as digits as its factorization.

61120162177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7056, while the sum is 34.

The spelling of 61120162177 in words is "sixty-one billion, one hundred twenty million, one hundred sixty-two thousand, one hundred seventy-seven".