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109012889241 = 3215727012
BaseRepresentation
bin110010110000110101…
…1001010111010011001
3101102101021222112222100
41211201223022322121
53241224244423431
6122025124314013
710606304161344
oct1454153127231
9342337875870
10109012889241
1142260a301a3
1219164242909
13a383b536b9
1453c206d45b
152c806104e6
hex1961acae99

109012889241 has 27 divisors (see below), whose sum is σ = 158698788573. Its totient is φ = 72109346400.

The previous prime is 109012889197. The next prime is 109012889267. The reversal of 109012889241 is 142988210901.

The square root of 109012889241 is 330171.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3974672025 + 105038217216 = 63045^2 + 324096^2 .

It is not a de Polignac number, because 109012889241 - 213 = 109012881049 is a prime.

It is a super-3 number, since 3×1090128892413 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (109012889281) 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 26 ways as a sum of consecutive naturals, for example, 155510191 + ... + 155510891.

Almost surely, 2109012889241 is an apocalyptic number.

109012889241 is the 330171-st square number.

109012889241 is the 165086-th centered octagonal number.

It is an amenable number.

109012889241 is a deficient number, since it is larger than the sum of its proper divisors (49685899332).

109012889241 is an frugal number, since it uses more digits than its factorization.

109012889241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 109012889241 in words is "one hundred nine billion, twelve million, eight hundred eighty-nine thousand, two hundred forty-one".

Divisors: 1 3 9 157 471 701 1413 2103 6309 24649 73947 110057 221841 330171 491401 990513 1474203 4422609 17278949 51836847 77149957 155510541 231449871 694349613 12112543249 36337629747 109012889241