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120354180241 = 194314
BaseRepresentation
bin111000000010110101…
…0110000110010010001
3102111122200121211110011
41300011222300302101
53432441132231431
6131142343434521
711460326436601
oct1600552606221
9374580554404
10120354180241
1147050884a69
121b3aa455a41
13b4706a5189
145b7a3c0c01
1531e6117cb1
hex1c05ab0c91

120354180241 has 25 divisors (see below), whose sum is σ = 131275150105. Its totient is φ = 110341693260.

The previous prime is 120354180239. The next prime is 120354180253. The reversal of 120354180241 is 142081453021.

The square root of 120354180241 is 346921.

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

It is not a de Polignac number, because 120354180241 - 21 = 120354180239 is a prime.

It is a super-2 number, since 2×1203541802412 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120354180211) by changing a digit.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 3882392896 + ... + 3882392926.

Almost surely, 2120354180241 is an apocalyptic number.

120354180241 is the 346921-st square number.

120354180241 is the 173461-st centered octagonal number.

It is an amenable number.

120354180241 is a deficient number, since it is larger than the sum of its proper divisors (10920969864).

120354180241 is an frugal number, since it uses more digits than its factorization.

120354180241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The spelling of 120354180241 in words is "one hundred twenty billion, three hundred fifty-four million, one hundred eighty thousand, two hundred forty-one".

Divisors: 1 19 31 361 589 961 6859 11191 18259 29791 130321 212629 346921 566029 923521 4039951 6591499 10754551 17546899 125238481 204336469 333391081 3882392911 6334430539 120354180241