Search a number
-
+
2002021121121 = 37647698321101
BaseRepresentation
bin11101001000100001110…
…000011111110001100001
321002101120021221102220220
4131020201300133301201
5230300114401333441
64131414340353253
7264432643515330
oct35104160376141
97071507842826
102002021121121
1170206380401a
122840089a5829
13116a361c5228
146cc81085d17
1537125663466
hex1d221c1fc61

2002021121121 has 32 divisors (see below), whose sum is σ = 3055996366848. Its totient is φ = 1142026190400.

The previous prime is 2002021121071. The next prime is 2002021121161. The reversal of 2002021121121 is 1211211202002.

It is not a de Polignac number, because 2002021121121 - 26 = 2002021121057 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2002021121121.

It is not an unprimeable number, because it can be changed into a prime (2002021121161) 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 31 ways as a sum of consecutive naturals, for example, 94867471 + ... + 94888571.

It is an arithmetic number, because the mean of its divisors is an integer number (95499886464).

Almost surely, 22002021121121 is an apocalyptic number.

2002021121121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2002021121121 is a deficient number, since it is larger than the sum of its proper divisors (1053975245727).

2002021121121 is a wasteful number, since it uses less digits than its factorization.

2002021121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28741.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2002021121121 its reverse (1211211202002), we get a palindrome (3213232323123).

The spelling of 2002021121121 in words is "two trillion, two billion, twenty-one million, one hundred twenty-one thousand, one hundred twenty-one".

Divisors: 1 3 7 21 647 1941 4529 6983 13587 20949 21101 48881 63303 146643 147707 443121 4518001 13554003 13652347 31626007 40957041 94878021 95566429 147348283 286699287 442044849 1031437981 3094313943 95334339101 286003017303 667340373707 2002021121121