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120300020001 = 3272272789161
BaseRepresentation
bin111000000001001110…
…0001010000100100001
3102111111220201012120100
41300002130022010201
53432333301120001
6131133130533013
711456101204200
oct1600234120441
9374456635510
10120300020001
1147023252637
121b394297169
13b4623c12b5
145b73123237
1531e14ba586
hex1c0270a121

120300020001 has 18 divisors (see below), whose sum is σ = 202136769042. Its totient is φ = 68742868320.

The previous prime is 120300019999. The next prime is 120300020003. The reversal of 120300020001 is 100020003021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (120300019999) and next prime (120300020003).

It can be written as a sum of positive squares in only one way, i.e., 72197003025 + 48103016976 = 268695^2 + 219324^2 .

It is not a de Polignac number, because 120300020001 - 21 = 120300019999 is a prime.

It is a super-3 number, since 3×1203000200013 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (120300020003) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 136394140 + ... + 136395021.

Almost surely, 2120300020001 is an apocalyptic number.

It is an amenable number.

120300020001 is a deficient number, since it is larger than the sum of its proper divisors (81836749041).

120300020001 is a wasteful number, since it uses less digits than its factorization.

120300020001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272789181 (or 272789171 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 120300020001 its reverse (100020003021), we get a palindrome (220320023022).

The spelling of 120300020001 in words is "one hundred twenty billion, three hundred million, twenty thousand, one".

Divisors: 1 3 7 9 21 49 63 147 441 272789161 818367483 1909524127 2455102449 5728572381 13366668889 17185717143 40100006667 120300020001