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120002021001 = 3241973333413
BaseRepresentation
bin110111111000010101…
…1011000011010001001
3102110202010222021210100
41233300223120122021
53431231004133001
6131043403440013
711445522230352
oct1576053303211
9373663867710
10120002021001
1146990015575
121b310526009
13b415744225
145b45710d29
1531c5254586
hex1bf0ad8689

120002021001 has 24 divisors (see below), whose sum is σ = 177587524296. Its totient is φ = 78039740160.

The previous prime is 120002020991. The next prime is 120002021003. The reversal of 120002021001 is 100120200021.

It can be written as a sum of positive squares in 4 ways, for example, as 40449254400 + 79552766601 = 201120^2 + 282051^2 .

It is not a de Polignac number, because 120002021001 - 26 = 120002020937 is a prime.

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 (120002021003) 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 23 ways as a sum of consecutive naturals, for example, 3574771 + ... + 3608183.

It is an arithmetic number, because the mean of its divisors is an integer number (7399480179).

Almost surely, 2120002021001 is an apocalyptic number.

It is an amenable number.

120002021001 is a deficient number, since it is larger than the sum of its proper divisors (57585503295).

120002021001 is a wasteful number, since it uses less digits than its factorization.

120002021001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43193 (or 43190 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 120002021001 its reverse (100120200021), we get a palindrome (220122221022).

The spelling of 120002021001 in words is "one hundred twenty billion, two million, twenty-one thousand, one".

Divisors: 1 3 9 41 123 369 9733 29199 33413 87597 100239 300717 399053 1197159 1369933 3591477 4109799 12329397 325208729 975626187 2926878561 13333557889 40000673667 120002021001