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211121010002001 = 31122991291306023
BaseRepresentation
bin110000000000001101110000…
…110011100100100001010001
31000200111222020011221202122210
4300000031300303210201101
5210133001312030031001
62025003353021222333
762316663303532611
oct6000156063444121
91020458204852583
10211121010002001
11612a6a10261880
121b8187bb1019a9
1390a5819bc9bc8
143a1c4506d4a41
151961b1e208dd6
hexc00370ce4851

211121010002001 has 32 divisors (see below), whose sum is σ = 308430474808320. Its totient is φ = 127391572612800.

The previous prime is 211121010001961. The next prime is 211121010002003. The reversal of 211121010002001 is 100200010121112.

It is not a de Polignac number, because 211121010002001 - 214 = 211121009985617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211121010002003) 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, 689733076 + ... + 690039098.

It is an arithmetic number, because the mean of its divisors is an integer number (9638452337760).

Almost surely, 2211121010002001 is an apocalyptic number.

It is an amenable number.

211121010002001 is a deficient number, since it is larger than the sum of its proper divisors (97309464806319).

211121010002001 is a wasteful number, since it uses less digits than its factorization.

211121010002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397557.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 211121010002001 its reverse (100200010121112), we get a palindrome (311321020123113).

The spelling of 211121010002001 in words is "two hundred eleven trillion, one hundred twenty-one billion, ten million, two thousand, one".

Divisors: 1 3 11 33 229 687 2519 7557 91291 273873 306023 918069 1004201 3012603 3366253 10098759 20905639 62716917 70079267 210237801 229962029 689886087 770871937 2312615811 27937145693 83811437079 307308602623 921925807869 6397606363697 19192819091091 70373670000667 211121010002001