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120032010001 = 1131597665141
BaseRepresentation
bin110111111001001110…
…1110001111100010001
3102110211020101212222001
41233302131301330101
53431311143310001
6131050354314001
711446335152011
oct1576235617421
9373736355861
10120032010001
11469a5a38772
121b31a588901
13b41ba141b7
145b496b9c41
1531c7bca001
hex1bf2771f11

120032010001 has 8 divisors (see below), whose sum is σ = 121170248424. Its totient is φ = 118895105280.

The previous prime is 120032009987. The next prime is 120032010037. The reversal of 120032010001 is 100010230021.

It can be written as a sum of positive squares in 4 ways, for example, as 39050001 + 119992960000 = 6249^2 + 346400^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 120032010001 - 25 = 120032009969 is a prime.

It is a super-3 number, since 3×1200320100013 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 120032010001.

It is not an unprimeable number, because it can be changed into a prime (120032016001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152110 + ... + 513031.

It is an arithmetic number, because the mean of its divisors is an integer number (15146281053).

Almost surely, 2120032010001 is an apocalyptic number.

It is an amenable number.

120032010001 is a deficient number, since it is larger than the sum of its proper divisors (1138238423).

120032010001 is a wasteful number, since it uses less digits than its factorization.

120032010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666851.

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 120032010001 its reverse (100010230021), we get a palindrome (220042240022).

The spelling of 120032010001 in words is "one hundred twenty billion, thirty-two million, ten thousand, one".

Divisors: 1 113 1597 180461 665141 75160933 1062230177 120032010001