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211333003002121 = 71113273617716161
BaseRepresentation
bin110000000011010011001100…
…100100101100000100001001
31000201021020102100011222110211
4300003103030210230010021
5210144434442232031441
62025245012531041121
762341206552360550
oct6003231444540411
91021236370158424
10211333003002121
1161378906833520
121b8519031401a1
1390bc802a9c750
143a288014d0d97
1519673ca4b9a81
hexc034cc92c109

211333003002121 has 32 divisors (see below), whose sum is σ = 283758215521536. Its totient is φ = 152002179072000.

The previous prime is 211333003002119. The next prime is 211333003002131. The reversal of 211333003002121 is 121200300333112.

It is a cyclic number.

It is not a de Polignac number, because 211333003002121 - 21 = 211333003002119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211333003002092 and 211333003002101.

It is not an unprimeable number, because it can be changed into a prime (211333003002131) 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, 23530281 + ... + 31246441.

It is an arithmetic number, because the mean of its divisors is an integer number (8867444235048).

Almost surely, 2211333003002121 is an apocalyptic number.

It is an amenable number.

211333003002121 is a deficient number, since it is larger than the sum of its proper divisors (72425212519415).

211333003002121 is a wasteful number, since it uses less digits than its factorization.

211333003002121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7743553.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 211333003002121 its reverse (121200300333112), we get a palindrome (332533303335233).

The spelling of 211333003002121 in words is "two hundred eleven trillion, three hundred thirty-three billion, three million, two thousand, one hundred twenty-one".

Divisors: 1 7 11 13 77 91 143 1001 27361 191527 300971 355693 2106797 2489851 3912623 7716161 27388361 54013127 84877771 100310093 594144397 702170651 1103411023 7723877161 211121881121 1477853167847 2322340692331 2744584454573 16256384846317 19212091182011 30190429000303 211333003002121