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120022011001 = 7313712001001
BaseRepresentation
bin110111111000111011…
…1101000110001111001
3102110210112120212220201
41233301313220301321
53431301113323001
6131045400122201
711446154155264
oct1576167506171
9373715525821
10120022011001
11469a0329332
121b317166361
13b419922c29
145b48235cdb
1531c6da2501
hex1bf1de8c79

120022011001 has 8 divisors (see below), whose sum is σ = 122554232424. Its totient is φ = 117513792000.

The previous prime is 120022010971. The next prime is 120022011047. The reversal of 120022011001 is 100110220021.

It can be written as a sum of positive squares in 4 ways, for example, as 17429280400 + 102592730601 = 132020^2 + 320301^2 .

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 120022011001 - 27 = 120022010873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120022011101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5990500 + ... + 6010501.

It is an arithmetic number, because the mean of its divisors is an integer number (15319279053).

Almost surely, 2120022011001 is an apocalyptic number.

It is an amenable number.

120022011001 is a deficient number, since it is larger than the sum of its proper divisors (2532221423).

120022011001 is a wasteful number, since it uses less digits than its factorization.

120022011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12001211.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 120022011001 its reverse (100110220021), we get a palindrome (220132231022).

The spelling of 120022011001 in words is "one hundred twenty billion, twenty-two million, eleven thousand, one".

Divisors: 1 73 137 10001 12001001 876073073 1644137137 120022011001