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211213012032333 = 32193312140772089
BaseRepresentation
bin110000000001100011011100…
…100011011101101101001101
31000200211202200222000011002200
4300001203130203131231031
5210141003222040013313
62025113530200112113
762326431223065363
oct6001433443355515
91020752628004080
10211213012032333
1161331a31a86993
121b8325b6465639
1390b13bc7276cc
143a22a9b459633
1519642061e9b73
hexc018dc8ddb4d

211213012032333 has 12 divisors (see below), whose sum is σ = 305243291886780. Its totient is φ = 140735830044096.

The previous prime is 211213012032299. The next prime is 211213012032359. The reversal of 211213012032333 is 333230210312112.

211213012032333 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 1 + 301 + 2 + 0 + 323 + 33 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 51947148108969 + 159265863923364 = 7207437^2 + 12620058^2 .

It is not a de Polignac number, because 211213012032333 - 29 = 211213012031821 is a prime.

It is a super-2 number, since 2×2112130120323332 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211213012032297 and 211213012032306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211213012037333) 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 11 ways as a sum of consecutive naturals, for example, 6070368648 + ... + 6070403441.

It is an arithmetic number, because the mean of its divisors is an integer number (25436940990565).

Almost surely, 2211213012032333 is an apocalyptic number.

It is an amenable number.

211213012032333 is a deficient number, since it is larger than the sum of its proper divisors (94030279854447).

211213012032333 is a wasteful number, since it uses less digits than its factorization.

211213012032333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12140774028 (or 12140774025 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 211213012032333 its reverse (333230210312112), we get a palindrome (544443222344445).

The spelling of 211213012032333 in words is "two hundred eleven trillion, two hundred thirteen billion, twelve million, thirty-two thousand, three hundred thirty-three".

Divisors: 1 3 9 1933 5799 17397 12140772089 36422316267 109266948801 23468112448037 70404337344111 211213012032333