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120120103232001 = 3217293771796573
BaseRepresentation
bin11011010011111110100100…
…000101010110001000000001
3120202022100222112012101010100
4123103332210011112020001
5111221021432411411001
61103250225201553013
734205251064622405
oct3323764405261001
9522270875171110
10120120103232001
1135301716828034
12115800b7645769
13520437ab19962
142193bb5da9105
15dd48ed6ed586
hex6d3fa4156201

120120103232001 has 12 divisors (see below), whose sum is σ = 173516849359828. Its totient is φ = 80075437938144.

The previous prime is 120120103231993. The next prime is 120120103232009. The reversal of 120120103232001 is 100232301021021.

120120103232001 is a `hidden beast` number, since 1 + 20 + 120 + 1 + 0 + 323 + 200 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (120120103231993) and next prime (120120103232009).

It can be written as a sum of positive squares in 2 ways, for example, as 49600820556225 + 70519282675776 = 7042785^2 + 8397576^2 .

It is not a de Polignac number, because 120120103232001 - 23 = 120120103231993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120120103232009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 385742650 + ... + 386053923.

Almost surely, 2120120103232001 is an apocalyptic number.

It is an amenable number.

120120103232001 is a deficient number, since it is larger than the sum of its proper divisors (53396746127827).

120120103232001 is a wasteful number, since it uses less digits than its factorization.

120120103232001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771813872 (or 771813869 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 120120103232001 its reverse (100232301021021), we get a palindrome (220352404253022).

The spelling of 120120103232001 in words is "one hundred twenty trillion, one hundred twenty billion, one hundred three million, two hundred thirty-two thousand, one".

Divisors: 1 3 9 17293 51879 155637 771796573 2315389719 6946169157 13346678136889 40040034410667 120120103232001