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121944141 = 32111916449
BaseRepresentation
bin1110100010010…
…11100001001101
322111110101220200
413101023201031
5222204203031
620033404113
73010336164
oct721134115
9274411820
10121944141
116291a490
1234a09639
131c357ac7
14122a43db
15aa8b8e6
hex744b84d

121944141 has 24 divisors (see below), whose sum is σ = 193190400. Its totient is φ = 73507200.

The previous prime is 121944139. The next prime is 121944143. The reversal of 121944141 is 141449121.

121944141 is a `hidden beast` number, since 1 + 219 + 441 + 4 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (121944139) and next prime (121944143).

It is not a de Polignac number, because 121944141 - 21 = 121944139 is a prime.

It is a super-3 number, since 3×1219441413 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121944143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15685 + ... + 22133.

It is an arithmetic number, because the mean of its divisors is an integer number (8049600).

Almost surely, 2121944141 is an apocalyptic number.

121944141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121944141 is a deficient number, since it is larger than the sum of its proper divisors (71246259).

121944141 is a wasteful number, since it uses less digits than its factorization.

121944141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6657 (or 6654 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 121944141 is about 11042.8321095632. The cubic root of 121944141 is about 495.8918601504.

The spelling of 121944141 in words is "one hundred twenty-one million, nine hundred forty-four thousand, one hundred forty-one".

Divisors: 1 3 9 11 33 99 191 573 1719 2101 6303 6449 18909 19347 58041 70939 212817 638451 1231759 3695277 11085831 13549349 40648047 121944141