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61430118201 = 34275392
BaseRepresentation
bin111001001101100001…
…010011011100111001
312212120011121100010000
4321031201103130321
52001302102240301
644115352343213
74303203250344
oct711541233471
9185504540100
1061430118201
1124063778031
12baa49a4b09
135a3cb2268a
142d8a7a545b
1518e8096786
hexe4d853739

61430118201 has 15 divisors (see below), whose sum is σ = 91769311381. Its totient is φ = 40951925028.

The previous prime is 61430118143. The next prime is 61430118229. The reversal of 61430118201 is 10281103416.

It is a happy number.

The square root of 61430118201 is 247851.

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

61430118201 is a `hidden beast` number, since 614 + 30 + 1 + 18 + 2 + 0 + 1 = 666.

It is not a de Polignac number, because 61430118201 - 29 = 61430117689 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (61430118241) 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 14 ways as a sum of consecutive naturals, for example, 2216890 + ... + 2244428.

Almost surely, 261430118201 is an apocalyptic number.

61430118201 is the 247851-st square number.

61430118201 is the 123926-th centered octagonal number.

It is an amenable number.

61430118201 is a deficient number, since it is larger than the sum of its proper divisors (30339193180).

61430118201 is an frugal number, since it uses more digits than its factorization.

61430118201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55090 (or 27542 counting only the distinct ones).

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

The spelling of 61430118201 in words is "sixty-one billion, four hundred thirty million, one hundred eighteen thousand, two hundred one".

Divisors: 1 3 9 27 81 27539 82617 247851 743553 2230659 758396521 2275189563 6825568689 20476706067 61430118201