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160009000127 = 2337214387739
BaseRepresentation
bin1001010100000101000…
…1111001010010111111
3120022000022011101211222
42111001101321102333
510110144301001002
6201301312103555
714363113026434
oct2250121712277
9508008141758
10160009000127
116194aa00089
1227016834bbb
131212009b342
147a5cbb7b8b
1542676691a2
hex25414794bf

160009000127 has 16 divisors (see below), whose sum is σ = 171560478720. Its totient is φ = 148844358432.

The previous prime is 160009000121. The next prime is 160009000133. The reversal of 160009000127 is 721000900061.

160009000127 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (160009000121) and next prime (160009000133).

It is a cyclic number.

It is not a de Polignac number, because 160009000127 - 24 = 160009000111 is a prime.

It is a super-2 number, since 2×1600090001272 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 160009000096 and 160009000105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (160009000121) 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 in 15 ways as a sum of consecutive naturals, for example, 1779824 + ... + 1867562.

It is an arithmetic number, because the mean of its divisors is an integer number (10722529920).

Almost surely, 2160009000127 is an apocalyptic number.

160009000127 is a deficient number, since it is larger than the sum of its proper divisors (11551478593).

160009000127 is a wasteful number, since it uses less digits than its factorization.

160009000127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89942.

The product of its (nonzero) digits is 756, while the sum is 26.

Adding to 160009000127 its reverse (721000900061), we get a palindrome (881009900188).

The spelling of 160009000127 in words is "one hundred sixty billion, nine million, one hundred twenty-seven", and thus it is an aban number.

Divisors: 1 23 37 851 2143 49289 79291 87739 1823693 2017997 3246343 74665889 188024677 4324567571 6956913049 160009000127