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211120201211001 = 317231271417189931
BaseRepresentation
bin110000000000001101000000…
…100110010001110001111001
31000200111220010211001220222120
4300000031000212101301321
5210132443133002223001
62025003140450111453
762316634253113425
oct6000150046216171
91020456124056876
10211120201211001
11612a6635767165
121b81861427b589
1390a571b489854
143a1c3b511bb85
151961ac31e7236
hexc00340991c79

211120201211001 has 32 divisors (see below), whose sum is σ = 313459737919488. Its totient is φ = 125710415550720.

The previous prime is 211120201210973. The next prime is 211120201211009. The reversal of 211120201211001 is 100112102021112.

It is a happy number.

It is not a de Polignac number, because 211120201211001 - 25 = 211120201210969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211120201211009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 708445995 + ... + 708743936.

It is an arithmetic number, because the mean of its divisors is an integer number (9795616809984).

Almost surely, 2211120201211001 is an apocalyptic number.

It is an amenable number.

211120201211001 is a deficient number, since it is larger than the sum of its proper divisors (102339536708487).

211120201211001 is a wasteful number, since it uses less digits than its factorization.

211120201211001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417190101.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 211120201211001 its reverse (100112102021112), we get a palindrome (311232303232113).

The spelling of 211120201211001 in words is "two hundred eleven trillion, one hundred twenty billion, two hundred one million, two hundred eleven thousand, one".

Divisors: 1 3 17 23 51 69 127 381 391 1173 2159 2921 6477 8763 49657 148971 1417189931 4251569793 24092228827 32595368413 72276686481 97786105239 179983121237 539949363711 554121263021 1662363789063 3059713061029 4139611788451 9179139183087 12418835365353 70373400403667 211120201211001