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2120011022001 = 343349121738693
BaseRepresentation
bin11110110110011010100…
…000001111111010110001
321111200010012202102210210
4132312122200033322301
5234213240310201001
64301530345414333
7306110564234415
oct36663240177261
97450105672723
102120011022001
11748100a539a4
122a2a5749a3a9
13124bbab0a522
1474875464d45
153a22de0ddd6
hex1ed9a80feb1

2120011022001 has 32 divisors (see below), whose sum is σ = 2903164387200. Its totient is φ = 1375350165504.

The previous prime is 2120011021991. The next prime is 2120011022027. The reversal of 2120011022001 is 1002201100212.

It is not a de Polignac number, because 2120011022001 - 29 = 2120011021489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2120011022071) 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 31 ways as a sum of consecutive naturals, for example, 54771211 + ... + 54809903.

It is an arithmetic number, because the mean of its divisors is an integer number (90723887100).

Almost surely, 22120011022001 is an apocalyptic number.

It is an amenable number.

2120011022001 is a deficient number, since it is larger than the sum of its proper divisors (783153365199).

2120011022001 is a wasteful number, since it uses less digits than its factorization.

2120011022001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40305.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2120011022001 its reverse (1002201100212), we get a palindrome (3122212122213).

The spelling of 2120011022001 in words is "two trillion, one hundred twenty billion, eleven million, twenty-two thousand, one".

Divisors: 1 3 43 129 349 1047 1217 3651 15007 38693 45021 52331 116079 156993 424733 1274199 1663799 4991397 13503857 18263519 40511571 47089381 54790557 141268143 580665851 1741997553 2024843383 6074530149 16434193969 49302581907 706670340667 2120011022001