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211311133200033 = 33137263361364627
BaseRepresentation
bin110000000010111110110101…
…000010000000111010100001
31000201012010222012021220221220
4300002332311002000322201
5210144110200044400113
62025230554445205253
762336503604205606
oct6002766502007241
91021163865256856
10211311133200033
116136a603904519
121b84961ab60829
1390ba728c05359
143a27728b626ad
151966a4a508523
hexc02fb5080ea1

211311133200033 has 64 divisors (see below), whose sum is σ = 299920642424832. Its totient is φ = 132102203063040.

The previous prime is 211311133200023. The next prime is 211311133200067. The reversal of 211311133200033 is 330002331113112.

It is not a de Polignac number, because 211311133200033 - 213 = 211311133191841 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211311133199976 and 211311133200012.

It is not an unprimeable number, because it can be changed into a prime (211311133200023) 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 63 ways as a sum of consecutive naturals, for example, 3269671266 + ... + 3269735892.

It is an arithmetic number, because the mean of its divisors is an integer number (4686260037888).

Almost surely, 2211311133200033 is an apocalyptic number.

It is an amenable number.

211311133200033 is a deficient number, since it is larger than the sum of its proper divisors (88609509224799).

211311133200033 is a wasteful number, since it uses less digits than its factorization.

211311133200033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68574.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 211311133200033 its reverse (330002331113112), we get a palindrome (541313464313145).

The spelling of 211311133200033 in words is "two hundred eleven trillion, three hundred eleven billion, one hundred thirty-three million, two hundred thousand, thirty-three".

Divisors: 1 3 31 37 93 111 263 789 1147 3441 3613 8153 9731 10839 24459 29193 64627 112003 133681 193881 301661 336009 401043 904983 950219 2003437 2391199 2850657 4144111 6010311 7173597 12432333 16996901 29456789 35158103 50990703 74127169 88370367 105474309 222381507 233497351 526903931 628885337 700492053 1089901193 1580711793 1886656011 3269703579 7238417881 8639401987 19495445447 21715253643 25918205961 58486336341 61409803313 184229409939 267821461597 803464384791 1903703902703 2272162722581 5711111708109 6816488167743 70437044400011 211311133200033